Matter wave interferometry beyond classical limits
|
|
- Arline Richards
- 5 years ago
- Views:
Transcription
1 Max-Planck-Institut für Quantenoptik Varenna school on Atom Interferometry,
2 The Plan Lecture 1 (Wednesday): Quantum noise in interferometry and Spin Squeezing Lecture 2 (Friday): Spin squeezed hyperfine states: Quantum interferometry Lecture 3 (Today): Spin squeezed motional states, Alternative strategies
3 Outline Spin Squeezing Of A Double Well BEC The Experimental System And Its Parameters Experimental Implementation Adiabatic Spin Squeezing Alternative Approaches To Quantum Metrology
4 Outline Spin Squeezing Of A Double Well BEC The Experimental System And Its Parameters Experimental Implementation Adiabatic Spin Squeezing Alternative Approaches To Quantum Metrology
5 Motivation Interferometers based on internal degrees of freedom Measurements of: time magnetic fields motional degrees of freedom Measurements of: gravity rotation acceleration...
6 Overview Squeezing motional degrees of freedom RF Atom chip Trap wire RF B x y z x Gravity B 0 Nonlinearity fixed, Rabi coupling Ω tuned by controlling the height of the potential barrier. J. Estève, Nature 455, 1216 (2008) C. F. Ockeloen, arxiv: (2013)
7 Experimental System Macroscopically occupied spatial two-mode system Double Well potential Single internal state Coupling via tunneling
8 Realizations Atom chips Heidelberg (Schmiedmayer) MIT (Ketterle) Paris (Reichel) Toronto (Thywissen) Heidelberg (Oberthaler) Haifa (Steinhauer) Optical traps Schumm et al. Nature Physics 1, 57 (2005) Jo et al. PRL 98, (2007) Maussang et al. PRL 105, (2010) LeBlanc et al. PRL 106, (2011) Albiez et al. PRL (2005), Estève et al. Nature 455, 1216 (2008) Levy et al. Nature 449, 579 (2007)
9 The Intuitive Picture Overlap between left and right mode tunneling
10 The Intuitive Picture Overlap between left and right mode tunneling
11 The Hamiltonian Milburn et al. PRA 55, 4318 (1997), Spekkens et al. PRA 59, 3868 (1999), Javanainen et al. PRA 60, 2351 (1999), Ananikian et al. PRA 73, (2006)
12 The Hamiltonian Milburn et al. PRA 55, 4318 (1997), Spekkens et al. PRA 59, 3868 (1999), Javanainen et al. PRA 60, 2351 (1999), Ananikian et al. PRA 73, (2006)
13 Excursion: Josephson Junctions JJ: Superconductors connected via a thin insulator. S L I S R BEC L BEC R Re(Ψ) Re(Ψ) x x
14 Excursion: Josephson Junctions JJ: Superconductors connected via a thin insulator. S L I S R BEC L BEC R Re(Ψ) Re(Ψ) x x
15 The Parameters: Coupling Calculation of the Josephson energy E J Solve the Gross-Pitaevskii equation Ananikian et al. PRA 73, (2006), Zapata et al. PRA 57, R28 (1998)
16 The Parameters: Coupling Calculation of the Josephson energy E J Solve the Gross-Pitaevskii equation E J follows from overlap integrals Φ l Φ r d 3 x or... Ananikian et al. PRA 73, (2006), Zapata et al. PRA 57, R28 (1998)
17 The Parameters: Coupling Calculation of the Josephson energy E J Solve the Gross-Pitaevskii equation E J follows from overlap integrals Φ l Φ r d 3 x or... (better) by analogy to a capacitor in electrodynamics Ananikian et al. PRA 73, (2006), Zapata et al. PRA 57, R28 (1998)
18 The Parameters: Nonlinearity Calculation of the Charging energy E C Solve the Gross-Pitaevskii equation Ananikian et al. PRA 73, (2006), Zapata et al. PRA 57, R28 (1998)
19 The Parameters: Nonlinearity Calculation of the Charging energy E C Solve the Gross-Pitaevskii equation Calculate from onsite integrals Φl,r 4 d 3 x or Ananikian et al. PRA 73, (2006), Zapata et al. PRA 57, R28 (1998)
20 The Parameters: Nonlinearity Calculation of the Charging energy E C Solve the Gross-Pitaevskii equation Calculate from onsite integrals Φl,r 4 d 3 x or (better) use E C = 2 µ N, where µ is the chemical potential Ananikian et al. PRA 73, (2006), Zapata et al. PRA 57, R28 (1998)
21 The Parameters: Detuning
22 Control Knobs Tuning of χ = E C /2 and Ω = 2E J /N No Feshbach resonance available with 87 Rb no tuning of E C
23 Control Knobs Tuning of χ = E C /2 and Ω = 2E J /N No Feshbach resonance available with 87 Rb no tuning of E C Control of the barrier height V 0 tuning of E J Josephson energy (khz) barrier height 2 (khz) Charging energy (Hz)
24 Control Knobs Tuning of χ = E C /2 and Ω = 2E J /N No Feshbach resonance available with 87 Rb no tuning of E C Control of the barrier height V 0 tuning of E J Josephson energy (khz) barrier height 2 (khz) Charging energy (Hz) For N = 2000 atoms! Ω max 100 mhz to 4 Hz χ 1 Hz interactions never negligible
25 Outline Spin Squeezing Of A Double Well BEC The Experimental System And Its Parameters Experimental Implementation Adiabatic Spin Squeezing Alternative Approaches To Quantum Metrology
26 A Bosonic Josephson Junction (Array) Realization of an optical double well trap Control of the number of occupied wells by power in crossed dipole beam. Albiez et al. PRL (2005), Estève et al. Nature 455, 1216 (2008)
27 Realizable Parameter Regime Atom number in two neighboring wells: N = 1000 to N = 2000 Coupling Ω max 100 mhz to 4 Hz Nonlinearity χ 1 Hz Nonlinearity can not be switched off
28 Realizable Parameter Regime Atom number in two neighboring wells: N = 1000 to N = 2000 Coupling Ω max 100 mhz to 4 Hz Nonlinearity χ 1 Hz Nonlinearity can not be switched off Large amplitude Rabi oszillations not possible self trapping Coupling pulses (π/2, π, ) not easily realized
29 Mean Field Dynamics Of The Interacting Double Well Zero detuning: Ĥ = χ ˆ J z 2 Ω ˆ J x Nonlinearity M. Albiez, PRL 95, (2005) Zibold et al. PRL 105, (2010)
30 Mean Field Dynamics Of The Interacting Double Well Zero detuning: Ĥ = χ ˆ J z 2 Ω ˆ J x Nonlinearity Front of sphere M. Albiez, PRL 95, (2005) Zibold et al. PRL 105, (2010)
31 Mean Field Dynamics Of The Interacting Double Well Zero detuning: Ĥ = χ ˆ J z 2 Ω ˆ J x Nonlinearity Front of sphere Back of sphere M. Albiez, PRL 95, (2005) Zibold et al. PRL 105, (2010)
32 Mean Field Dynamics Of The Interacting Double Well Zero detuning: Ĥ = χ ˆ J z 2 Ω ˆ J x Nonlinearity Front of sphere Back of sphere Resulting trajectories on the Blochsphere M. Albiez, PRL 95, (2005) Zibold et al. PRL 105, (2010)
33 Self Trapping Double well: a Josephson oscillations b Self- trapping relative phase φ [π] population imbalance z relative phase φ [π] population imbalance z evolution time [ms] evolution time [ms] M. Albiez, PRL 95, (2005) Zibold et al. PRL 105, (2010)
34 Self Trapping Double well: Internal states: a Josephson oscillations b Self- trapping relative phase φ [π] population imbalance z relative phase φ [π] population imbalance z evolution time [ms] evolution time [ms] M. Albiez, PRL 95, (2005) Zibold et al. PRL 105, (2010)
35 Squeezing Strategies One-axis-twisting Requires non-adiabatic control over state rotations. difficult to realize.
36 Squeezing Strategies One-axis-twisting Requires non-adiabatic control over state rotations. difficult to realize. Adiabatic squeezing Nonlinearity relatively strong No atom number loss problems Relatively simple to implement. (At least at first sight) Prepare BEC in double well at low lattice Adiabatically ramp up the lattice
37 The Ground State Ramping the barrier height 0.1 Rabi 0.1 Josephson 0.1 Fock Jz fluctuations (db) Rabi Josephson Fock coherence 0.5 spin squeezing (db) Heisenberg limit regime parameter
38 Finite Temperature? Does temperature play a role? Condensation directly into the double well potential Initial state in thermal equilibrium
39 Finite Temperature? Does temperature play a role? Condensation directly into the double well potential Initial state in thermal equilibrium Energy scales: Minimal temperature: T 10 nk = 200 Hz h/k B Nonlinearity χ and coupling Ω in the few Hz range
40 Finite Temperature? Does temperature play a role? Condensation directly into the double well potential Initial state in thermal equilibrium Energy scales: Minimal temperature: T 10 nk = 200 Hz h/k B Nonlinearity χ and coupling Ω in the few Hz range Temperature is very important to consider. More careful treatment needed.
41 Collective Modes: Plasma Frequency Collective modes required to understand the system. Low energy excitations: Plasma oszillations High energy excitations: Self trapped modes
42 Collective Modes: Plasma Frequency Collective modes required to understand the system. Low energy excitations: Plasma oszillations High energy excitations: Self trapped modes
43 Collective Modes: Plasma Frequency Collective modes required to understand the system. Low energy excitations: Plasma oszillations High energy excitations: Self trapped modes Maximum plasma frequency: ω pl = 2π 60 Hz (Note ω pl,max ω trap ) (Reminder: temperature T = 200 Hz)
44 The Challenges: Finite Temperature (I) Many-body modes, resulting fluctuations and adiabatic transformations Hz 950Hz 1450Hz 20nK population energy Hz Josephson mode #
45 The Challenges: Finite Temperature (I) Many-body modes, resulting fluctuations and adiabatic transformations 5000 J z Distributions Hz 950Hz 1450Hz 20nK population energy Hz Josephson mode # Adiabatic Cooling
46 The Challenges: Finite Temperature (II) Phase diagram : Adiabats and isothermals in the number squeezing coherence plane (18.5) number squeezing (db) GS 5 1 (6.2) (1.5) (0.3) isothermal adiabatic coherence Adiabatic barrier ramping increases spin squeezing.
47 Challenges: Position Stability (I) For the double well trap position stability better then z = 100 nm required Solution 1: Active phase stabilization:
48 Challenges: Position Stability (I) For the double well trap position stability better then z = 100 nm required Solution 1: Active phase stabilization:
49 Solution 2: Passive stability The Block :
50 Challenges: Position Stability (II) Solution 3: Multi well system: Release the harmonic confinement in lattice direction Required position stability z ω 2 Analyze spin squeezing between two neighboring sites (local observables) Better statistics! Estève et al. Nature 455, 1216 (2008), Gross et al. PRA 84, (2011)
51 Outline Spin Squeezing Of A Double Well BEC The Experimental System And Its Parameters Experimental Implementation Adiabatic Spin Squeezing Alternative Approaches To Quantum Metrology
52 Squeezing Measurements Spin squeezing, necessary incredient: Number squeezing ξ 2 N = 4 2 Jˆ z N < 1
53 Squeezing Measurements Spin squeezing, necessary incredient: Number squeezing ξ 2 N = 4 2 Jˆ z N < 1
54 Squeezing Measurements Spin squeezing, necessary incredient: Number squeezing ξ 2 N = 4 2 Jˆ z N < 1 Low lattice depth Broad distribution of n = J z High lattice depth Narrow distribution of n = J z
55 How Slow Is Slow Enough? Goal: Optimize number squeezing Ramp speed number squeezing (db) barrier height time ramp up time (ms) ramp up time (ms) number squeezing (db) Best achieved number squeezing: Multi well: ξ 2 N 6 db Double well: ξ 2 N 2 db
56 Coherence Measurements (I) Number squeezing is not sufficient Spin squeezing: ξ 2 S = ξ2 N V 2 Coherence (Visibility in Ramsey experiment) crucial
57 Coherence Measurements (I) Number squeezing is not sufficient Spin squeezing: ξ 2 S = ξ2 N V 2 Coherence (Visibility in Ramsey experiment) crucial BUT: Spin rotations are very hard here
58 Coherence Measurements (I) Number squeezing is not sufficient Spin squeezing: ξ 2 S = ξ2 N V 2 Coherence (Visibility in Ramsey experiment) crucial BUT: Spin rotations are very hard here Solution: Measure coherence via time-of-flight interference
59 Coherence Measurements (II) Time-of-flight interference measurements single shots a b c d Single shot visibility very high Single spatial mode per well
60 Coherence Measurements (III) Coherence follows V from the ensemble averaged visibility a b c d 1d density longitudinal coordinate ( )
61 Optimizing Number Squeezing And Coherence Knowing the ramp speed (a few Hz/ms), to which height should we ramp to optimize spin squeezing? 1 1 < cos( φ ) > Barrier height Time < cos( φ ) > Barrier height Time (db) 0 (db) 0 N umber squeezing ξ 2 N N umber squeezing ξ 2 N Barrier height (Hz) Barrier height (Hz)
62 A Spin Squeezed Josephson Junction The experimental Phase diagram 0 2 ξ N (db) squeezing Number db - 3 db - 6 db Phase coherence <cos(φ)> 2
63 A Spin Squeezed Josephson Junction The experimental Phase diagram 0 2 ξ N (db) squeezing Number db - 3 db - 6 db Phase coherence <cos(φ)> 2 Double well (green): ξ 2 S Multi well (red/blue): ξ 2 S = 2.3 db = 3.8 db
64 Room For Improvement 3.8 db squeezing is nice, but can it be done better? T. Berrada, Nat Commun doi: /ncomms3077, (2013)
65 Room For Improvement 3.8 db squeezing is nice, but can it be done better? In principle: YES T. Berrada, Nat Commun doi: /ncomms3077, (2013)
66 Room For Improvement 3.8 db squeezing is nice, but can it be done better? In principle: YES In practice: very hard in optical traps T. Berrada, Nat Commun doi: /ncomms3077, (2013)
67 Room For Improvement 3.8 db squeezing is nice, but can it be done better? In principle: YES In practice: very hard in optical traps Why? Maximum plasma frequency is tiny temperature in the pk regime reqired T. Berrada, Nat Commun doi: /ncomms3077, (2013)
68 Room For Improvement 3.8 db squeezing is nice, but can it be done better? In principle: YES In practice: very hard in optical traps Why? Maximum plasma frequency is tiny temperature in the pk regime reqired Better: Split 1D condensate along tight direction Atom Chips = 7.8 db demonstrated. ξ 2 S T. Berrada, Nat Commun doi: /ncomms3077, (2013)
69 Outline Spin Squeezing Of A Double Well BEC Alternative Approaches To Quantum Metrology
70 Alternative Approaches To Quantum Metrology Encode phase information in the variance (Twin Fock states) R. Bücker, Nature Physics 7, 608 (2011), B. Lucke, Science 334, 773 (2011), C. Gross, Nature 480, 219 (2011)
71 Alternative Approaches To Quantum Metrology Encode phase information in the variance (Twin Fock states) R. Bücker, Nature Physics 7, 608 (2011), B. Lucke, Science 334, 773 (2011), C. Gross, Nature 480, 219 (2011) NOON states: N-fold enhanced fringe period (Ions) D. Leibfried, Nature 438, 639 (2005)
72 Spin Squeezing For Optical Lattice Clocks Alkaline earth atoms (Mg, Sr, Yb,... ) Use Singlet Triplet intercombination line (mhz) A priory: No interactions, atoms isolated Use long range interactions for squeezing: Rydberg atoms A. Derevianko, RMP 83, 331 (2011), L. I. R. Gil, arxiv: v2 (2013)
73 Spin Squeezing With Rydberg Dressing (I) Rydberg atoms Very strong van-der-waals interactions V = C 6 /d 6 V 100 d = 1 µm Blockade radius R b = 6 C 6 / Ω 10 µm L. I. R. Gil, arxiv: v2 (2013)
74 Spin Squeezing With Rydberg Dressing (II) Rydberg dressing Admix small fraction of Rydberg state d = (1 ɛ) g + ɛ r Resulting soft core potential V = V 0 = const. in blockade Hamiltonian (fully blockaded) One axis-twisting! Ĥ = Ω ˆ J x + V 0 ˆ J z 2 /2 + δ ˆ J z L. I. R. Gil, arxiv: v2 (2013)
75 Spin Squeezing With Rydberg Dressing (III) Soft core interaction V Hz Very fast squeezing O(1 ms) Interaction switchable via Laser dressing L. I. R. Gil, arxiv: v2 (2013)
76 GS (18.5) (6.2) (1.5) (0.3) isothermal adiabatic coherence 2 ξ N 250Hz Hz 1450Hz Josephson mode # db - 3 db 20nK - 6 db Phase coherence <cos(φ)> Summary Dynamics of a interacting two level system Adiabatic spin squeezing number squeezing (db) Finite temperature effects population energy Hz Spin squeezing spatial DOF (db) Number squeezing Alternative strategies for Quantum Metrology
77 THE END
Nonlinear Quantum Interferometry with Bose Condensed Atoms
ACQAO Regional Workshop 0 onlinear Quantum Interferometry with Bose Condensed Atoms Chaohong Lee State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun
More informationNonequilibrium dynamics of interacting systems of cold atoms
Nonequilibrium dynamics of interacting systems of cold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Anton Burkov, Robert Cherng, Adilet Imambekov, Vladimir Gritsev, Mikhail Lukin,
More informationExploring long-range interacting quantum many-body systems with Rydberg atoms
Exploring long-range interacting quantum many-body systems with Rydberg atoms Christian Groß Max-Planck-Institut für Quantenoptik Hannover, November 2015 Motivation: Quantum simulation Idea: Mimicking
More information6. Interference of BECs
6. Interference of BECs Josephson effects Weak link: tunnel junction between two traps. Josephson oscillation An initial imbalance between the population of the double well potential leads to periodic
More informationNanoKelvin Quantum Engineering
NanoKelvin Quantum Engineering Few x 10 5 Yb atoms 250mm 400 nk 250 nk < 200 nk Control of atomic c.m. position and momentum. Today: Bose-Fermi double superfluid Precision BEC interferometry Ultracold
More informationBose-Einstein condensates in optical lattices
Bose-Einstein condensates in optical lattices Creating number squeezed states of atoms Matthew Davis University of Queensland p.1 Overview What is a BEC? What is an optical lattice? What happens to a BEC
More informationConfining ultracold atoms on a ring in reduced dimensions
Confining ultracold atoms on a ring in reduced dimensions Hélène Perrin Laboratoire de physique des lasers, CNRS-Université Paris Nord Charge and heat dynamics in nano-systems Orsay, October 11, 2011 What
More informationThe phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other
1 The phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other phases of matter that have been experimentally observed,
More informationIntroduction to Cold Atoms and Bose-Einstein Condensation. Randy Hulet
Introduction to Cold Atoms and Bose-Einstein Condensation Randy Hulet Outline Introduction to methods and concepts of cold atom physics Interactions Feshbach resonances Quantum Gases Quantum regime nλ
More informationQuantum optics of many-body systems
Quantum optics of many-body systems Igor Mekhov Université Paris-Saclay (SPEC CEA) University of Oxford, St. Petersburg State University Lecture 2 Previous lecture 1 Classical optics light waves material
More informationQuantum superpositions and correlations in coupled atomic-molecular BECs
Quantum superpositions and correlations in coupled atomic-molecular BECs Karén Kheruntsyan and Peter Drummond Department of Physics, University of Queensland, Brisbane, AUSTRALIA Quantum superpositions
More informationQuantum Computing with neutral atoms and artificial ions
Quantum Computing with neutral atoms and artificial ions NIST, Gaithersburg: Carl Williams Paul Julienne T. C. Quantum Optics Group, Innsbruck: Peter Zoller Andrew Daley Uwe Dorner Peter Fedichev Peter
More informationAppendix A One-Dimensional Gross-Pitaevskii Simulations in the Transverse Potential
Appendix A One-Dimensional Gross-Pitaevskii Simulations in the Transverse Potential A.1 Effective Interaction Constant for the Transverse GPE Simulations Because of our elongated geometries (see Sect.
More informationConference on Research Frontiers in Ultra-Cold Atoms. 4-8 May Generation of a synthetic vector potential in ultracold neutral Rubidium
3-8 Conference on Research Frontiers in Ultra-Cold Atoms 4-8 May 9 Generation of a synthetic vector potential in ultracold neutral Rubidium SPIELMAN Ian National Institute of Standards and Technology Laser
More informationContinuous quantum measurement process in stochastic phase-methods of quantum dynamics: Classicality from quantum measurement
Continuous quantum measurement process in stochastic phase-methods of quantum dynamics: Classicality from quantum measurement Janne Ruostekoski University of Southampton Juha Javanainen University of Connecticut
More informationInterference experiments with ultracold atoms
Interference experiments with ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Anton Burkov, Robert Cherng, Adilet Imambekov, Serena Fagnocchi, Vladimir Gritsev, Mikhail Lukin,
More informationYtterbium quantum gases in Florence
Ytterbium quantum gases in Florence Leonardo Fallani University of Florence & LENS Credits Marco Mancini Giacomo Cappellini Guido Pagano Florian Schäfer Jacopo Catani Leonardo Fallani Massimo Inguscio
More informationMultipath Interferometer on an AtomChip. Francesco Saverio Cataliotti
Multipath Interferometer on an AtomChip Francesco Saverio Cataliotti Outlook Bose-Einstein condensates on a microchip Atom Interferometry Multipath Interferometry on an AtomChip Results and Conclusions
More information0.5 atoms improve the clock signal of 10,000 atoms
0.5 atoms improve the clock signal of 10,000 atoms I. Kruse 1, J. Peise 1, K. Lange 1, B. Lücke 1, L. Pezzè 2, W. Ertmer 1, L. Santos 3, A. Smerzi 2, C. Klempt 1 1 Institut für Quantenoptik, Leibniz Universität
More informationTowards quantum metrology with N00N states enabled by ensemble-cavity interaction. Massachusetts Institute of Technology
Towards quantum metrology with N00N states enabled by ensemble-cavity interaction Hao Zhang Monika Schleier-Smith Robert McConnell Jiazhong Hu Vladan Vuletic Massachusetts Institute of Technology MIT-Harvard
More information(Noise) correlations in optical lattices
(Noise) correlations in optical lattices Dries van Oosten WA QUANTUM http://www.quantum.physik.uni mainz.de/bec The Teams The Fermions: Christoph Clausen Thorsten Best Ulrich Schneider Sebastian Will Lucia
More informationInterference between quantum gases
Anderson s question, and its answer Interference between quantum gases P.W. Anderson: do two superfluids which have never "seen" one another possess a relative phase? MIT Jean Dalibard, Laboratoire Kastler
More informationNon-Equilibrium Physics with Quantum Gases
Non-Equilibrium Physics with Quantum Gases David Weiss Yang Wang Laura Adams Cheng Tang Lin Xia Aishwarya Kumar Josh Wilson Teng Zhang Tsung-Yao Wu Neel Malvania NSF, ARO, DARPA, Outline Intro: cold atoms
More informationStrongly Correlated Systems of Cold Atoms Detection of many-body quantum phases by measuring correlation functions
Strongly Correlated Systems of Cold Atoms Detection of many-body quantum phases by measuring correlation functions Anatoli Polkovnikov Boston University Ehud Altman Weizmann Vladimir Gritsev Harvard Mikhail
More informationPrecision Interferometry with a Bose-Einstein Condensate. Cass Sackett. Research Talk 17 October 2008
Precision Interferometry with a Bose-Einstein Condensate Cass Sackett Research Talk 17 October 2008 Outline Atom interferometry Bose condensates Our interferometer One application What is atom interferometry?
More informationLes Puces à Atomes. Jakob Reichel. Laboratoire Kastler Brossel de l E.N.S., Paris
Les Puces à Atomes Jakob Reichel Laboratoire Kastler Brossel de l E.N.S., Paris Atom chips: Cold atoms meet the nanoworld ~ 100 nm BEC (~ 10 5 atoms, ~ 100 nk) microstructured surface bulk material ( ~
More informationInterferometria atomica con un Condensato di Bose-Einstein in un potenziale a doppia buca
Scuola di Scienze Matematiche Fisiche e Naturali Corso di Laurea Specialistica in Scienze Fisiche e Astrofisiche Interferometria atomica con un Condensato di Bose-Einstein in un potenziale a doppia buca
More informationNon-linear driving and Entanglement of a quantum bit with a quantum readout
Non-linear driving and Entanglement of a quantum bit with a quantum readout Irinel Chiorescu Delft University of Technology Quantum Transport group Prof. J.E. Mooij Kees Harmans Flux-qubit team visitors
More informationsynthetic condensed matter systems
Ramsey interference as a probe of synthetic condensed matter systems Takuya Kitagawa (Harvard) DimaAbanin i (Harvard) Mikhael Knap (TU Graz/Harvard) Eugene Demler (Harvard) Supported by NSF, DARPA OLE,
More informationGravitational tests using simultaneous atom interferometers
Gravitational tests using simultaneous atom interferometers Gabriele Rosi Quantum gases, fundamental interactions and cosmology conference 5-7 October 017, Pisa Outline Introduction to atom interferometry
More informationFrom BEC to BCS. Molecular BECs and Fermionic Condensates of Cooper Pairs. Preseminar Extreme Matter Institute EMMI. and
From BEC to BCS Molecular BECs and Fermionic Condensates of Cooper Pairs Preseminar Extreme Matter Institute EMMI Andre Wenz Max-Planck-Institute for Nuclear Physics and Matthias Kronenwett Institute for
More informationDesign and realization of exotic quantum phases in atomic gases
Design and realization of exotic quantum phases in atomic gases H.P. Büchler and P. Zoller Theoretische Physik, Universität Innsbruck, Austria Institut für Quantenoptik und Quanteninformation der Österreichischen
More informationThe Remarkable Bose-Hubbard Dimer
The Remarkable Bose-Hubbard Dimer David K. Campbell, Boston University Winter School, August 2015 Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory International Institute
More informationROTONS AND STRIPES IN SPIN-ORBIT COUPLED BECs
INT Seattle 5 March 5 ROTONS AND STRIPES IN SPIN-ORBIT COUPLED BECs Yun Li, Giovanni Martone, Lev Pitaevskii and Sandro Stringari University of Trento CNR-INO Now in Swinburne Now in Bari Stimulating discussions
More informationGolden chain of strongly interacting Rydberg atoms
Golden chain of strongly interacting Rydberg atoms Hosho Katsura (Gakushuin Univ.) Acknowledgment: Igor Lesanovsky (MUARC/Nottingham Univ. I. Lesanovsky & H.K., [arxiv:1204.0903] Outline 1. Introduction
More informationDistributing Quantum Information with Microwave Resonators in Circuit QED
Distributing Quantum Information with Microwave Resonators in Circuit QED M. Baur, A. Fedorov, L. Steffen (Quantum Computation) J. Fink, A. F. van Loo (Collective Interactions) T. Thiele, S. Hogan (Hybrid
More informationLecture 3. Bose-Einstein condensation Ultracold molecules
Lecture 3 Bose-Einstein condensation Ultracold molecules 66 Bose-Einstein condensation Bose 1924, Einstein 1925: macroscopic occupation of the lowest energy level db h 2 mk De Broglie wavelength d 1/3
More informationThéorie de la Matière Condensée Cours & 16 /09/2013 : Transition Superfluide Isolant de Mott et Modèle de Hubbard bosonique "
- Master Concepts Fondamentaux de la Physique 2013-2014 Théorie de la Matière Condensée Cours 1-2 09 & 16 /09/2013 : Transition Superfluide Isolant de Mott et Modèle de Hubbard bosonique " - Antoine Georges
More informationQuantum Computation with Neutral Atoms Lectures 14-15
Quantum Computation with Neutral Atoms Lectures 14-15 15 Marianna Safronova Department of Physics and Astronomy Back to the real world: What do we need to build a quantum computer? Qubits which retain
More informationRaman-Induced Oscillation Between an Atomic and Molecular Gas
Raman-Induced Oscillation Between an Atomic and Molecular Gas Dan Heinzen Changhyun Ryu, Emek Yesilada, Xu Du, Shoupu Wan Dept. of Physics, University of Texas at Austin Support: NSF, R.A. Welch Foundation,
More informationBose-Einstein Condensate: A New state of matter
Bose-Einstein Condensate: A New state of matter KISHORE T. KAPALE June 24, 2003 BOSE-EINSTEIN CONDENSATE: A NEW STATE OF MATTER 1 Outline Introductory Concepts Bosons and Fermions Classical and Quantum
More informationMESOSCOPIC QUANTUM OPTICS
MESOSCOPIC QUANTUM OPTICS by Yoshihisa Yamamoto Ata Imamoglu A Wiley-Interscience Publication JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Toronto Singapore Preface xi 1 Basic Concepts
More informationOptomechanics and spin dynamics of cold atoms in a cavity
Optomechanics and spin dynamics of cold atoms in a cavity Thierry Botter, Nathaniel Brahms, Daniel Brooks, Tom Purdy Dan Stamper-Kurn UC Berkeley Lawrence Berkeley National Laboratory Ultracold atomic
More informationDifferent ion-qubit choises. - One electron in the valence shell; Alkali like 2 S 1/2 ground state.
Different ion-qubit choises - One electron in the valence shell; Alkali like 2 S 1/2 ground state. Electronic levels Structure n 2 P 3/2 n 2 P n 2 P 1/2 w/o D Be + Mg + Zn + Cd + 313 nm 280 nm 206 nm 226
More informationQuantum Electrodynamics with Ultracold Atoms
Quantum Electrodynamics with Ultracold Atoms Valentin Kasper Harvard University Collaborators: F. Hebenstreit, F. Jendrzejewski, M. K. Oberthaler, and J. Berges Motivation for QED (1+1) Theoretical Motivation
More informationPolariton Condensation
Polariton Condensation Marzena Szymanska University of Warwick Windsor 2010 Collaborators Theory J. Keeling P. B. Littlewood F. M. Marchetti Funding from Macroscopic Quantum Coherence Macroscopic Quantum
More informationExploring the quantum dynamics of atoms and photons in cavities. Serge Haroche, ENS and Collège de France, Paris
Exploring the quantum dynamics of atoms and photons in cavities Serge Haroche, ENS and Collège de France, Paris Experiments in which single atoms and photons are manipulated in high Q cavities are modern
More informationQuantum entanglement and light propagation through Bose-Einstein condensate (BEC) M. Emre Taşgın
Quantum entanglement and light propagation through Bose-Einstein condensate (BEC) M. Emre Taşgın Advisor: M. Özgür Oktel Co-Advisor: Özgür E. Müstecaplıoğlu Outline Superradiance and BEC Superradiance
More informationDoing Atomic Physics with Electrical Circuits: Strong Coupling Cavity QED
Doing Atomic Physics with Electrical Circuits: Strong Coupling Cavity QED Ren-Shou Huang, Alexandre Blais, Andreas Wallraff, David Schuster, Sameer Kumar, Luigi Frunzio, Hannes Majer, Steven Girvin, Robert
More informationThe a.c. and d.c. Josephson effects in a BEC
Te a.c. and d.c. osepson effects in a BEC eff Steinauer Saar Levy Elias Laoud Itay Somroni Tecnion - Israel Institute of Tecnology Outline Wat is te a.c. osepson Effect? History Our ultra-ig resolution
More informationPhilipp T. Ernst, Sören Götze, Jannes Heinze, Jasper Krauser, Christoph Becker & Klaus Sengstock. Project within FerMix collaboration
Analysis ofbose Bose-Fermi Mixturesin in Optical Lattices Philipp T. Ernst, Sören Götze, Jannes Heinze, Jasper Krauser, Christoph Becker & Klaus Sengstock Project within FerMix collaboration Motivation
More informationUNIVERSITY OF SOUTHAMPTON
UNIVERSITY OF SOUTHAMPTON PHYS6012W1 SEMESTER 1 EXAMINATION 2012/13 Coherent Light, Coherent Matter Duration: 120 MINS Answer all questions in Section A and only two questions in Section B. Section A carries
More informationQuantum Computation with Neutral Atoms
Quantum Computation with Neutral Atoms Marianna Safronova Department of Physics and Astronomy Why quantum information? Information is physical! Any processing of information is always performed by physical
More informationProbing Many Body Quantum Systems by Interference
Probing Many Body Quantum Systems by Interference Jörg Schmiedmayer Vienna Center for Quantum Science and Technology, Atominstitut, TU-Wien www.atomchip.org J. Schmiedmayer: Probing Many-Body Quantum Systems
More informationQuantum Metrology Optical Atomic Clocks & Many-Body Physics
Quantum Metrology Optical Atomic Clocks & Many-Body Physics Jun Ye JILA, National Institute of Standards & Technology and University of Colorado APS 4CS Fall 2011 meeting, Tucson, Oct. 22, 2011 Many-body
More informationAdiabatic trap deformation for preparing Quantum Hall states
Marco Roncaglia, Matteo Rizzi, and Jean Dalibard Adiabatic trap deformation for preparing Quantum Hall states Max-Planck Institut für Quantenoptik, München, Germany Dipartimento di Fisica del Politecnico,
More informationGeorg Jäger DOCTORAL THESIS. Optimal Quantum Control of Bose-Einstein Condensates
Georg Jäger DOCTORAL THESIS For obtaining the academic degree of Doktor der Naturwissenschaften Optimal Quantum Control of Bose-Einstein Condensates Supervisor: Ao.Univ.-Prof. Mag. Dr. Ulrich Hohenester
More informationPHYS598 AQG Introduction to the course
PHYS598 AQG Introduction to the course First quantum gas in dilute atomic vapors 87 Rb BEC : Wieman / Cornell group (1995) Logistics A bit about the course material Logistics for the course Website: https://courses.physics.illinois.edu/phys598aqg/fa2017/
More informationA Mixture of Bose and Fermi Superfluids. C. Salomon
A Mixture of Bose and Fermi Superfluids C. Salomon Enrico Fermi School Quantum Matter at Ultralow Temperatures Varenna, July 8, 2014 The ENS Fermi Gas Team F. Chevy, Y. Castin, F. Werner, C.S. Lithium
More informationAtoms and Molecules Interacting with Light Atomic Physics for the Laser Era
Atoms and Molecules Interacting with Light Atomic Physics for the Laser Era Peter van der Straten Universiteit Utrecht, The Netherlands and Harold Metcalf State University of New York, Stony Brook This
More informationQuantum computation and quantum information
Quantum computation and quantum information Chapter 7 - Physical Realizations - Part 2 First: sign up for the lab! do hand-ins and project! Ch. 7 Physical Realizations Deviate from the book 2 lectures,
More informationQuantum Gases. Subhadeep Gupta. UW REU Seminar, 11 July 2011
Quantum Gases Subhadeep Gupta UW REU Seminar, 11 July 2011 Ultracold Atoms, Mixtures, and Molecules Subhadeep Gupta UW REU Seminar, 11 July 2011 Ultracold Atoms High sensitivity (large signal to noise,
More informationAna Maria Rey. Okinawa School in Physics 2016: Coherent Quantum Dynamics. Okinawa, Japan, Oct 4-5, 2016
Ana Maria Rey Okinawa School in Physics 016: Coherent Quantum Dynamics Okinawa, Japan, Oct 4-5, 016 What can we do with ultra-cold matter? Quantum Computers Lecture II-III Clocks and sensors Synthetic
More informationExperiments with an Ultracold Three-Component Fermi Gas
Experiments with an Ultracold Three-Component Fermi Gas The Pennsylvania State University Ken O Hara Jason Williams Eric Hazlett Ronald Stites John Huckans Overview New Physics with Three Component Fermi
More informationLearning about order from noise
Learning about order from noise Quantum noise studies of ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Robert Cherng, Adilet Imambekov, Vladimir Gritsev, Mikhail Lukin, Anatoli
More informationIncreasing atomic clock precision with and without entanglement
Lehman College Increasing atomic clock precision with and without entanglement Christopher C. Gerry Department of Physics and Astronomy Lehman College, The City University of New York Bronx, New York 0468-589
More informationUltra-cold gases. Alessio Recati. CNR INFM BEC Center/ Dip. Fisica, Univ. di Trento (I) & Dep. Physik, TUM (D) TRENTO
Ultra-cold gases Alessio Recati CNR INFM BEC Center/ Dip. Fisica, Univ. di Trento (I) & Dep. Physik, TUM (D) TRENTO Lectures L. 1) Introduction to ultracold gases Bosonic atoms: - From weak to strong interacting
More informationA new experimental apparatus for quantum atom optics
A new experimental apparatus for quantum atom optics Andreas Hüper, Jiao Geng, Ilka Kruse, Jan Mahnke, Wolfgang Ertmer and Carsten Klempt Institut für Quantenoptik, Leibniz Universität Hannover Outline
More informationBose-Bose mixtures in confined dimensions
Bose-Bose mixtures in confined dimensions Francesco Minardi Istituto Nazionale di Ottica-CNR European Laboratory for Nonlinear Spectroscopy 22nd International Conference on Atomic Physics Cairns, July
More informationLearning about order from noise
Learning about order from noise Quantum noise studies of ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Alain Aspect, Adilet Imambekov, Vladimir Gritsev, Takuya Kitagawa,
More informationProspects for a superradiant laser
Prospects for a superradiant laser M. Holland murray.holland@colorado.edu Dominic Meiser Jun Ye Kioloa Workshop D. Meiser, Jun Ye, D. Carlson, and MH, PRL 102, 163601 (2009). D. Meiser and MH, PRA 81,
More informationFrom laser cooling to BEC First experiments of superfluid hydrodynamics
From laser cooling to BEC First experiments of superfluid hydrodynamics Alice Sinatra Quantum Fluids course - Complement 1 2013-2014 Plan 1 COOLING AND TRAPPING 2 CONDENSATION 3 NON-LINEAR PHYSICS AND
More informationQuantum noise studies of ultracold atoms
Quantum noise studies of ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Robert Cherng, Adilet Imambekov, Vladimir Gritsev, Mikhail Lukin, Anatoli Polkovnikov Funded by NSF,
More informationLow-dimensional Bose gases Part 1: BEC and interactions
Low-dimensional Bose gases Part 1: BEC and interactions Hélène Perrin Laboratoire de physique des lasers, CNRS-Université Paris Nord Photonic, Atomic and Solid State Quantum Systems Vienna, 2009 Introduction
More informationInterferometric probes of quantum many-body systems of ultracold atoms
Interferometric probes of quantum many-body systems of ultracold atoms Eugene Demler Harvard University Collaborators: Dima Abanin, Thierry Giamarchi, Sarang Gopalakrishnan, Adilet Imambekov, Takuya Kitagawa,
More informationUltracold Atoms in optical lattice potentials
ICTP SCHOOL ON QUANTUM PHASE TRANSITIONS AND NON-EQUILIBRIUM PHENOMENA IN COLD ATOMIC GASES 2005 Ultracold Atoms in optical lattice potentials Experiments at the interface between atomic physics and condensed
More informationBuilding Blocks for Quantum Computing Part IV. Design and Construction of the Trapped Ion Quantum Computer (TIQC)
Building Blocks for Quantum Computing Part IV Design and Construction of the Trapped Ion Quantum Computer (TIQC) CSC801 Seminar on Quantum Computing Spring 2018 1 Goal Is To Understand The Principles And
More informationVortices and superfluidity
Vortices and superfluidity Vortices in Polariton quantum fluids We should observe a phase change by π and a density minimum at the core Michelson interferometry Forklike dislocation in interference pattern
More informationCooperative atom-light interaction in a blockaded Rydberg ensemble
Cooperative atom-light interaction in a blockaded Rydberg ensemble α 1 Jonathan Pritchard University of Durham, UK Overview 1. Cooperative optical non-linearity due to dipole-dipole interactions 2. Observation
More informationSpin-injection Spectroscopy of a Spin-orbit coupled Fermi Gas
Spin-injection Spectroscopy of a Spin-orbit coupled Fermi Gas Tarik Yefsah Lawrence Cheuk, Ariel Sommer, Zoran Hadzibabic, Waseem Bakr and Martin Zwierlein July 20, 2012 ENS Why spin-orbit coupling? A
More informationOptical Flux Lattices for Cold Atom Gases
for Cold Atom Gases Nigel Cooper Cavendish Laboratory, University of Cambridge Artificial Magnetism for Cold Atom Gases Collège de France, 11 June 2014 Jean Dalibard (Collège de France) Roderich Moessner
More informationFluids with dipolar coupling
Fluids with dipolar coupling Rosensweig instability M. D. Cowley and R. E. Rosensweig, J. Fluid Mech. 30, 671 (1967) CO.CO.MAT SFB/TRR21 STUTTGART, ULM, TÜBINGEN FerMix 2009 Meeting, Trento A Quantum Ferrofluid
More informationLes Houches 2009: Metastable Helium Atom Laser
Les Houches 2009: Metastable Helium Atom Laser Les Houches, Chamonix, February 2005 Australian Research Council Centre of Excellence for Quantum-Atom Optics UQ Brisbane SUT Melbourne ANU Canberra Snowy
More informationLaser cooling and trapping
Laser cooling and trapping William D. Phillips wdp@umd.edu Physics 623 14 April 2016 Why Cool and Trap Atoms? Original motivation and most practical current application: ATOMIC CLOCKS Current scientific
More informationD. Sun, A. Abanov, and V. Pokrovsky Department of Physics, Texas A&M University
Molecular production at broad Feshbach resonance in cold Fermi-gas D. Sun, A. Abanov, and V. Pokrovsky Department of Physics, Texas A&M University College Station, Wednesday, Dec 5, 007 OUTLINE Alkali
More informationHomework 3. 1 Coherent Control [22 pts.] 1.1 State vector vs Bloch vector [8 pts.]
Homework 3 Contact: jangi@ethz.ch Due date: December 5, 2014 Nano Optics, Fall Semester 2014 Photonics Laboratory, ETH Zürich www.photonics.ethz.ch 1 Coherent Control [22 pts.] In the first part of this
More informationYbRb A Candidate for an Ultracold Paramagnetic Molecule
YbRb A Candidate for an Ultracold Paramagnetic Molecule Axel Görlitz Heinrich-Heine-Universität Düsseldorf Santa Barbara, 26 th February 2013 Outline 1. Introduction: The Yb-Rb system 2. Yb + Rb: Interactions
More informationNon-equilibrium Dynamics in Ultracold Fermionic and Bosonic Gases
Non-equilibrium Dynamics in Ultracold Fermionic and Bosonic Gases Michael KöhlK ETH Zürich Z (www.quantumoptics.ethz.ch( www.quantumoptics.ethz.ch) Introduction Why should a condensed matter physicist
More informationSuperconducting Qubits Coupling Superconducting Qubits Via a Cavity Bus
Superconducting Qubits Coupling Superconducting Qubits Via a Cavity Bus Leon Stolpmann, Micro- and Nanosystems Efe Büyüközer, Micro- and Nanosystems Outline 1. 2. 3. 4. 5. Introduction Physical system
More informationSupercondcting Qubits
Supercondcting Qubits Patricia Thrasher University of Washington, Seattle, Washington 98195 Superconducting qubits are electrical circuits based on the Josephson tunnel junctions and have the ability to
More informationQuantum Logic Spectroscopy and Precision Measurements
Quantum Logic Spectroscopy and Precision Measurements Piet O. Schmidt PTB Braunschweig and Leibniz Universität Hannover Bad Honnef, 4. November 2009 Overview What is Quantum Metrology? Quantum Logic with
More informationShort Course in Quantum Information Lecture 8 Physical Implementations
Short Course in Quantum Information Lecture 8 Physical Implementations Course Info All materials downloadable @ website http://info.phys.unm.edu/~deutschgroup/deutschclasses.html Syllabus Lecture : Intro
More informationQuantum Simulation with Rydberg Atoms
Hendrik Weimer Institute for Theoretical Physics, Leibniz University Hannover Blaubeuren, 23 July 2014 Outline Dissipative quantum state engineering Rydberg atoms Mesoscopic Rydberg gates A Rydberg Quantum
More informationMEASUREMENT OF SHORT RANGE FORCES USING COLD ATOMS
1 MEASUREMENT OF SHORT RANGE FORCES USING COLD ATOMS F. PEREIRA DOS SANTOS, P. WOLF, A. LANDRAGIN, M.-C. ANGONIN, P. LEMONDE, S. BIZE, and A. CLAIRON LNE-SYRTE, CNRS UMR 8630, UPMC, Observatoire de Paris,
More informationLecture 4. Feshbach resonances Ultracold molecules
Lecture 4 Feshbach resonances Ultracold molecules 95 Reminder: scattering length V(r) a tan 0( k) lim k0 k r a: scattering length Single-channel scattering a 96 Multi-channel scattering alkali-metal atom:
More informationGeneration of maximally entangled GHZ (Greenberger-Horne-Zeilinger) states of divalent atoms
Generation of maximally entangled GHZ (Greenberger-Horne-Zeilinger) states of divalent atoms Turker Topcu Department of Physics, University of Nevada, Reno, NV 89557, USA UNR: Turker Topcu, Andrei Derevianko
More informationIntroduction. Resonant Cooling of Nuclear Spins in Quantum Dots
Introduction Resonant Cooling of Nuclear Spins in Quantum Dots Mark Rudner Massachusetts Institute of Technology For related details see: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 99, 036602 (2007);
More informationNonlinear BEC Dynamics by Harmonic Modulation of s-wave Scattering Length
Nonlinear BEC Dynamics by Harmonic Modulation of s-wave Scattering Length I. Vidanović, A. Balaž, H. Al-Jibbouri 2, A. Pelster 3 Scientific Computing Laboratory, Institute of Physics Belgrade, Serbia 2
More informationDynamical Casimir effect in superconducting circuits
Dynamical Casimir effect in superconducting circuits Dynamical Casimir effect in a superconducting coplanar waveguide Phys. Rev. Lett. 103, 147003 (2009) Dynamical Casimir effect in superconducting microwave
More informationBloch oscillations of ultracold-atoms and Determination of the fine structure constant
Bloch oscillations of ultracold-atoms and Determination of the fine structure constant Pierre Cladé P. Cladé Bloch oscillations and atom interferometry Sept., 2013 1 / 28 Outlook Bloch oscillations of
More information