Mesoscopic field state superpositions in Cavity QED: present status and perspectives
|
|
- Dennis Lindsey
- 6 years ago
- Views:
Transcription
1 Mesoscopic field state superpositions in Cavity QED: present status and perspectives Serge Haroche, Ein Bokek, February 21 st 2005 Entangling single atoms with larger and larger fields: an exploration of the quantum classical boundary
2 1. A reminder about Cavity QED: a story about springs and spins 2. Microscopic atom-field entanglement in Cavity QED 3. Mesoscopic atom field entanglement in dispersive regime 4. Mesoscopic atom field entanglement in resonant regime 5. Probing decoherence of mesoscopic superpositions 6. Perspectives: non-local mesoscopic entanglement
3 1. A story about springs and spins
4 Cavity QED: a story about springs and spins Towards Classical e g The spin: 2-level atom Mesoscopic field (n~10-100) 2 Microscopic 1 field n=0 The spring: Cavity mode Standard Hamiltonian H = hω at σ z 2 + hω ca a + hω σ + a + σ a Strong coupling 1 1 Ω >>, T c T a 50kHz : 1kHz : 30Hz
5 Coherent field state n Produced by coupling for a short time cavity to a classical source Superposition of photon number state with Poissonian distribution: α = C n n, C n = e α 2 /2 α n, n n! n = α 2, P(n) = C n 2 = e n n n n! Phase space representation Im(α) n=0 Amplitude α ϕ=ϕ 0 - ω c t Re(α)
6 Cavity QED set up Rev. Mod. Phys. 73, 565 (2001) Oven Source for photon injection in cavity High Q Cavity Circular Rydberg atom preparation (principal quantum number 51 or 50) Ramsey pulses source Field ionization detector
7 2. Microscopic atom-field entanglement in Cavity QED (atom and field behave as qubits)
8 Non resonant atom-field coupling: atomic light shift Non-resonant atom-field coupling e, n Ω 2 (n + 1) 4δ n? Vacuum Rabi frequency Ω Atom-field detuning δ g, n Ω2 n 4δ Measuring the atomic frequency inside box yields photon number Detecting these shifts without «looking» inside the box: Measure atomic coherence phase shift during the atom box crossing time by Ramsey interferometry! Amounts to non-destructive (QND) detection of single photon
9 How to realize a π atomic phase shift per photon? Dispersive and resonant methods e, n g, n Ramsey e g i Ω 2 (n + 1) Φ = Ω2 (2n + 1) 4δ t Φ = π per photon if Ω2 t δ Dispersive coupling = 2π Resonant atom-cavity interaction on e-g transition g,1 i,1 4δ Ω2 n 4δ ( i + g ) 1 i + e iπ g Ωt =2π e iπ g,1 Ωt =2π i,1 ( ) 1 ( i + g ) 0 i + g ( ) 0 2π Rabi rotation in 1 photon induces π phase shift of atom state (like spin 1/2) Works only in the 0-1 photon subspace
10 Quantum Non Demolition measurement of a photon G.Nogues et al, Nature, 400, 239 (1999) Single photon in C dephases fringes 0 photon 0 photon R 1 R 2 1 photon 1 photon R 1 R 2 Phases adjusted so that atom exits in one state if there is 0 photon in C, in the other if there is 1 photon (π phase shift in a one photon field) QND method with atom acting as a meter measuring the field: quantum gate operation If field is in a superposition of photon states, entanglement created: e c c 1 1 c 0 e,0 + c 1 g,1
11 3. Mesoscopic atom field entanglement in dispersive regime
12 Exchanging the roles of matter and field: Use mesoscopic coherent field for a QND measurement of atoms with 100% efficiency Im(α) An atom in level e or g dephases coherent field by Φ -Φ Φ = ± Ω2 4δ t g e g e Re(α) (single atom index) Measuring the phase of the field after the atom has crossed the cavity reveals the state of the atom (or the absence of atom) in a non-destructive way. In order to measure the field phase distribution, use an homodyne method: mix field with a reference with variable phase and measure resulting field intensity
13 Field phase distribution measurement How to measure a coherent field phase-shift? Cavity QED Homodyne method Injection of a coherent field i S Second injection αe φ > α > S Atom detector (field ionization) Resulting field i α(1 e φs ) > Back to the vacuum state φ S = 0 A probe atom is sent in g> -Field in the vacuum state P g 1 -Field in an excited state P g 1 / 2 φ S P ( φ ) g S = a signal to measure the field phase distribution Field phase-shifted by φ Maximum displaced by φ
14 Phase-shifting by single index atom Probe atom Coherent field source (used twice) Index atom Atom detector 0,70 0,65 0,60 0,55 0,50 P.Maioli et al, PRL to be published index atom in g v = 200 m/s δ = 50 khz n=29 photons φ 0 = 39 φ = φ 0 Signals conditioned to detection of index atom in e or g 0,45 0,75 0,70 0,65 0,60 0, No index atom φ = 0 0,50 0,45 Macroscopic single atom effect Phase-shifts with opposite signs for -150 index atom in e and g ,70 0,65 0,60 0,55 0,50 0,45 Index atom in e φ = + φ 0
15 Coupling the field to atom in state superposition: dispersive atom-field entanglement Classical π/2 pulse mixing e and g (R 1 ) S Classical source (initial injection of coherent field α>) Atom prepared in symmetric superposition of e and g before crossing the cavity storing α >. The two components of the atomic state rotate the phase of the field by two opposite angles: e e>+ g> χ = 1 4δ t f t i dt Ω 2 (t) The final atom-cavity state is entangled: the system evolves towards two states with different phases, correlated to the two atomic states. Ideal example of pre-masurement: the field is a meter whose state «points towards» the atomic energy: a Schrödinger cat state situation. e α R e + g ( ) α C e iχ 2 e α e iχ g α eiχ +
16 4. Mesoscopic atom field entanglement in resonant regime
17 Resonant atom-field coupling: atomic eigenstates at classical limit Two-level system { e>; g>} interacting with a resonant field Rotating frame Rotating wave approximation Eigenstates of the hamiltonian + > = > = <σ z > P e ( e > + g >) 2 1 ( e > + g >) 2 e> g> Field in rotating frame ( Ω cl ) hω hω cos( ωt) X Z g> e> cl - > +> Y 1 Rabi oscillation at frequency Ω cl Time (a.u.)
18 Evolution Classical Rabi oscillation: an interference effect e > ψ (t) >= 1 2 e iω cl t / 2 + > +e iω cl t / 2 > Detection in { e>, g>} basis ( ) e> Evolution Change of basis +> - > Detection Change of basis e> Classical Rabi oscillation: a quantum interference between two indistinguishable paths P 1 e P e 1 Time (a.u.) time
19 Coupling atomic eigenstates to mesoscopic coherent field (1 st order in n-n) e + 2 g e g 2 1 α e 2inϕ (t ) ψ at + (t) > α + (t) > 1 ( ) : αe iϕ (t ) > 2 e iϕ (t ) e > + g > α e 2inϕ (t ) ψ at (t) > α (t) > ( ) : αeiϕ (t ) > 2 eiϕ (t ) e > g > As in dispersive case, the atomic eigenstates induce opposite phase rotations on coherent fields. Field reacts back on atom and induces a correlated atomic dipole phase shift. Effect vanishes at classical limit (n ) P(n) n n ϕ(t) = Ω t 4 n Resonant phase shift
20 Representation in phase space Atomic state in the equatorial Representation plane in the same plane of the Bloch sphere ZY Coherent field in the Fresnel plane X +> +> Y X α > Equatorial plane Phase correlation of the Bloch sphere Atomic dipole and field «aligned»
21 e,α = 1 2 Evolution of atom-field system +,α +,α ( ) Single atom-mesoscopic field ( at ( t), ( t) > ) 1 Initial state +,α > ψ α e 2inϕ (t ) ψ at + (t) > α + (t) > +e 2inϕ (t ) ψ at (t) > α (t) > at,α > ψ ( t), α ( t) > Fast quantum phase responsible for Rabi oscillation α + ( t) > entanglement A microscopic object leaves its imprint on a mesoscopic one Schrödinger-cat situation -> ϕ ϕ D α > +> "Size" of the cat=d D = 2 n sin Ω t 0 4 n α ( t) > The field acts as a Which-Path detector Contrast of the Rabi oscillation C(t) = < α + (t) α (t) > = e D2 (t )
22 Rabi oscillation in mesoscopic field collapses and revives as field components separate and recombine Atom and field disentangle: Rabi oscillation revives 1 P e (t) Atom and field entangled: Rabi oscillation collapses 0.2 Complementarity in action! _ 0 t/2_ At classical limit, collapse and revival times rejected to t =
23 Evidence of phase splitting v=335m/s n = 36 t int = 32µs Measured phase ϕ = 23 Expected value ϕ = Ω t Experiment and theory in 0 int 4 n = 23 very good agreement
24 5. Probing decoherence of mesoscopic superpositions
25 Fast decoherence of Schrödinger cat state Entanglement with environment: complementarity again αe iχ ± αe iχ E 0 αe iχ E χ ± αe iχ E χ en tan glement with environment Very quickly state superposition is turned into statistical mixture: αe iχ ± αe iχ ρ = αe iχ αe iχ + αe iχ αe iχ tracing over environment Interference terms in photon probability distribution P ± coh (n) = 1 2 n αe iχ ± n αe iχ 2 are washed out by decoherence P ± Dec (n) = 1 2 n αe iχ 2 + n αe iχ 2 = e n n n ( ) n! 1 ± cos2nχ P coh + (n) even cat (χ = π / 2) Loss of single photon in time ~T c /n = e n n n n! P + Decoh (n) Experiment: Brune et al, P.R.L77, 4887 (1996) Mixture of even and odd cats
26 Demonstrating the cat state coherence with a single atom by observing Rabi oscillation revival Observing the revival of Rabi oscillation would prove that the cat state produced during the collapse time was coherent but the revival time is, at present time, too long compared to the cavity damping time Solution: induce revival at earlier time by echo technique
27 Test of coherence: quantum revivals induced by time reversal Initial Rabi rotation, Apply short Stark pulse equivalent Reverse to π rotation phase Collapse around rotation Oz (transforms And slow +> phase into ->) Recombination of field rotation components induces revival of Rabi oscillation A spin echo experiment Time reversal experiments in Cavity QED to study decoherence proposed by G.Morigi, E.Solano, B.G.Englert and H.Walther, Phys.Rev.A 65, (R),2002.
28 Observation of induced Rabi revival signals Stark pulse Revivals up to 2T= 50 µs with n=13 photons Stark pulse Evidence of «long lived» coherent mesoscopic superpositions of field states T.Meunier et al, PRL, December 2004
29 How big a Schrödinger cat? Competition between preparation time t int (time of flight of atom across cavity) and decoherence time T c /n: In early work (1996), T c ~150µs restricted n to ~3-5 (dispersive experiment) In more recent work ( ), T c ~1ms and n~30 t int ~30µs n T c t int n = 36 Cat state prepared by resonant atom-field coupling Very recently (December 2004), we have obtained T c ~14ms, opening the possibility to realize cat states with n~
30 Conclusions and perspectives Larger and longer lived cats (n in the hundreds) with better cavities Non local field states in two cavities Prepare and detect α, 0> + 0, α > (similar to n,0> + 0,n >) Marry the strangeness of Schrödinger cats with non locality: an exploration of the quantum-classical boundary Similar cat experiments with matter waves (BEC) instead of fields?
31 Support:JST (ICORP, Japan), EC, CNRS, UMPC, IUF, CdF S.Gleyzes P.Maioli T.Meunier G.Nogues M.Brune Alexia Auffeves J.M.Raimond
Exploring 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 informationIntroduction to Cavity QED: fundamental tests and application to quantum information Serge Haroche July 2004
Introduction to Cavity QED: fundamental tests and application to quantum information Serge Haroche July 2004 A very active research field: Code information in simple systems (atoms, photons..) and use
More informationLecture 3 Quantum non-demolition photon counting and quantum jumps of light
Lecture 3 Quantum non-demolition photon counting and quantum jumps of light A stream of atoms extracts information continuously and non-destructively from a trapped quantum field Fundamental test of measurement
More informationCollège de France abroad Lectures Quantum information with real or artificial atoms and photons in cavities
Collège de France abroad Lectures Quantum information with real or artificial atoms and photons in cavities Serge Haroche, Collège de France & Ecole Normale Supérieure, Paris www.college-de-france.fr A
More informationCavity Quantum Electrodynamics Lecture 2: entanglement engineering with quantum gates
DÉPARTEMENT DE PHYSIQUE DE L ÉCOLE NORMALE SUPÉRIEURE LABORATOIRE KASTLER BROSSEL Cavity Quantum Electrodynamics Lecture : entanglement engineering with quantum gates Michel BRUNE Les Houches 003 1 CQED
More informationCavity QED with Rydberg Atoms Serge Haroche, Collège de France & Ecole Normale Supérieure, Paris
Cavity QED with Rydberg Atoms Serge Haroche, Collège de France & Ecole Normale Supérieure, Paris A three lecture course Goal of lectures Manipulating states of simple quantum systems has become an important
More informationLecture 2: Quantum measurement, Schrödinger cat and decoherence
Lecture 2: Quantum measurement, Schrödinger cat and decoherence 5 1. The Schrödinger cat 6 Quantum description of a meter: the "Schrödinger cat" problem One encloses in a box a cat whose fate is linked
More information10.5 Circuit quantum electrodynamics
AS-Chap. 10-1 10.5 Circuit quantum electrodynamics AS-Chap. 10-2 Analogy to quantum optics Superconducting quantum circuits (SQC) Nonlinear circuits Qubits, multilevel systems Linear circuits Waveguides,
More information8 Quantized Interaction of Light and Matter
8 Quantized Interaction of Light and Matter 8.1 Dressed States Before we start with a fully quantized description of matter and light we would like to discuss the evolution of a two-level atom interacting
More informationCavity Quantum Electrodynamics Lecture 1
DÉPARTEMENT DE PHYSIQUE DE L ÉCOLE NORMALE SUPÉRIEURE LABORATOIRE KASTLER BROSSEL Cavity Quantum Electrodynamics Lecture 1 Michel BRUNE Les Houches 2003 1 Quantum information and Cavity QED Principle of
More informationCounting non-destructively photons in a cavity, reconstructing Schrödinger cat states of light & realizing movies of their decoherence
Counting non-destructively photons in a cavity, reconstructing Schrödinger cat states of light & realizing movies of their decoherence Serge Haroche, ENS and Collège de France, Paris International Workshop
More informationPreparation of a GHZ state
Preparation of a GHZ state Cavity QED Gilles Nogues Experimental realization A first atom in e 1 performs a π/2 pulse ψ 1 = 1 2 ( e 1, 0 + g 1, 1 ) A second atom in 1/ 2( i 2 + g 2 ) performs a QPG gate
More informationSynthesizing arbitrary photon states in a superconducting resonator
Synthesizing arbitrary photon states in a superconducting resonator Max Hofheinz, Haohua Wang, Markus Ansmann, R. Bialczak, E. Lucero, M. Neeley, A. O Connell, D. Sank, M. Weides, J. Wenner, J.M. Martinis,
More informationChapter 6. Exploring Decoherence in Cavity QED
Chapter 6 Exploring Decoherence in Cavity QED Serge Haroche, Igor Dotsenko, Sébastien Gleyzes, Michel Brune, and Jean-Michel Raimond Laboratoire Kastler Brossel de l Ecole Normale Supérieure, 24 rue Lhomond
More informationSupplementary information for Quantum delayed-choice experiment with a beam splitter in a quantum superposition
Supplementary information for Quantum delayed-choice experiment with a beam splitter in a quantum superposition Shi-Biao Zheng 1, You-Peng Zhong 2, Kai Xu 2, Qi-Jue Wang 2, H. Wang 2, Li-Tuo Shen 1, Chui-Ping
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 informationDispersive Readout, Rabi- and Ramsey-Measurements for Superconducting Qubits
Dispersive Readout, Rabi- and Ramsey-Measurements for Superconducting Qubits QIP II (FS 2018) Student presentation by Can Knaut Can Knaut 12.03.2018 1 Agenda I. Cavity Quantum Electrodynamics and the Jaynes
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 informationDriving Qubit Transitions in J-C Hamiltonian
Qubit Control Driving Qubit Transitions in J-C Hamiltonian Hamiltonian for microwave drive Unitary transform with and Results in dispersive approximation up to 2 nd order in g Drive induces Rabi oscillations
More informationControl of quantum two-level systems
Control of quantum two-level sstems R. Gross, A. Mar & F. Deppe, Walther-Meißner-Institut (00-03) 0.3 Control of quantum two-level sstems.. General concept AS-Chap. 0 - How to control a qubit? Does the
More informationCavity QED in Atomic Physics
Chapter 1 Cavity QED in Atomic Physics Serge Haroche, and Jean-Michel Raimond, Laboratoire Kastler-Brossel, ENS, UPMC-Paris 6, CNRS, 24 rue Lhomond 75005 Paris, France Collège de France, 11 place Marcelin
More informationCircuit QED: A promising advance towards quantum computing
Circuit QED: A promising advance towards quantum computing Himadri Barman Jawaharlal Nehru Centre for Advanced Scientific Research Bangalore, India. QCMJC Talk, July 10, 2012 Outline Basics of quantum
More information9 Atomic Coherence in Three-Level Atoms
9 Atomic Coherence in Three-Level Atoms 9.1 Coherent trapping - dark states In multi-level systems coherent superpositions between different states (atomic coherence) may lead to dramatic changes of light
More informationThe Nobel Prize in Physics 2012
The Nobel Prize in Physics 2012 Serge Haroche Collège de France and École Normale Supérieure, Paris, France David J. Wineland National Institute of Standards and Technology (NIST) and University of Colorado
More informationCircuit Quantum Electrodynamics. Mark David Jenkins Martes cúantico, February 25th, 2014
Circuit Quantum Electrodynamics Mark David Jenkins Martes cúantico, February 25th, 2014 Introduction Theory details Strong coupling experiment Cavity quantum electrodynamics for superconducting electrical
More informationarxiv: v1 [quant-ph] 11 Nov 2014
Electric dipoles on the Bloch sphere arxiv:1411.5381v1 [quant-ph] 11 Nov 014 Amar C. Vutha Dept. of Physics & Astronomy, York Univerity, Toronto ON M3J 1P3, Canada email: avutha@yorku.ca Abstract The time
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 informationNiels Bohr Institute Copenhagen University. Eugene Polzik
Niels Bohr Institute Copenhagen University Eugene Polzik Ensemble approach Cavity QED Our alternative program (997 - ): Propagating light pulses + atomic ensembles Energy levels with rf or microwave separation
More informationNANOSCALE SCIENCE & TECHNOLOGY
. NANOSCALE SCIENCE & TECHNOLOGY V Two-Level Quantum Systems (Qubits) Lecture notes 5 5. Qubit description Quantum bit (qubit) is an elementary unit of a quantum computer. Similar to classical computers,
More informationSuperconducting Qubits
Superconducting Qubits Fabio Chiarello Institute for Photonics and Nanotechnologies IFN CNR Rome Lego bricks The Josephson s Lego bricks box Josephson junction Phase difference Josephson equations Insulating
More informationSingle-Mode Displacement Sensor
Single-Mode Displacement Sensor Barbara Terhal JARA Institute for Quantum Information RWTH Aachen University B.M. Terhal and D. Weigand Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation,
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 informationCavity QED with Rydberg Atoms
Cavity QED with Rydberg Atoms Serge Haroche, Collège de France & Ecole Normale Supérieure, Paris Lecture 3: Quantum feedback and field state reconstruction in Cavity QED experiments. Introduction to Circuit
More informationTheoretical design of a readout system for the Flux Qubit-Resonator Rabi Model in the ultrastrong coupling regime
Theoretical design of a readout system for the Flux Qubit-Resonator Rabi Model in the ultrastrong coupling regime Ceren Burçak Dağ Supervisors: Dr. Pol Forn-Díaz and Assoc. Prof. Christopher Wilson Institute
More information10.5 Circuit quantum electrodynamics
AS-Chap. 10-1 10.5 Circuit quantum electrodynamics AS-Chap. 10-2 Analogy to quantum optics Superconducting quantum circuits (SQC) Nonlinear circuits Qubits, multilevel systems Linear circuits Waveguides,
More informationS.K. Saikin May 22, Lecture 13
S.K. Saikin May, 007 13 Decoherence I Lecture 13 A physical qubit is never isolated from its environment completely. As a trivial example, as in the case of a solid state qubit implementation, the physical
More informationFeedback control of atomic coherent spin states
Feedback control of atomic coherent spin states Andrea Bertoldi Institut d Optique, France RG Colloquium Hannover 13/12/2012 Feedback control h(t) Constant flow is required to keep time P = r H2O g h(t)
More informationQuantum computation with superconducting qubits
Quantum computation with superconducting qubits Project for course: Quantum Information Ognjen Malkoc June 10, 2013 1 Introduction 2 Josephson junction 3 Superconducting qubits 4 Circuit and Cavity QED
More informationQuantum Optics and Quantum Informatics FKA173
Quantum Optics and Quantum Informatics FKA173 Date and time: Tuesday, 7 October 015, 08:30-1:30. Examiners: Jonas Bylander (070-53 44 39) and Thilo Bauch (0733-66 13 79). Visits around 09:30 and 11:30.
More informationIntroduction to Circuit QED Lecture 2
Departments of Physics and Applied Physics, Yale University Experiment Michel Devoret Luigi Frunzio Rob Schoelkopf Andrei Petrenko Nissim Ofek Reinier Heeres Philip Reinhold Yehan Liu Zaki Leghtas Brian
More informationLikewise, any operator, including the most generic Hamiltonian, can be written in this basis as H11 H
Finite Dimensional systems/ilbert space Finite dimensional systems form an important sub-class of degrees of freedom in the physical world To begin with, they describe angular momenta with fixed modulus
More informationMolecular alignment, wavepacket interference and Isotope separation
Molecular alignment, wavepacket interference and Isotope separation Sharly Fleischer, Ilya Averbukh and Yehiam Prior Chemical Physics, Weizmann Institute Yehiam.prior@weizmann.ac.il Frisno-8, Ein Bokek,
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 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 informationDipole-coupling a single-electron double quantum dot to a microwave resonator
Dipole-coupling a single-electron double quantum dot to a microwave resonator 200 µm J. Basset, D.-D. Jarausch, A. Stockklauser, T. Frey, C. Reichl, W. Wegscheider, T. Ihn, K. Ensslin and A. Wallraff Quantum
More informationQuantum information processing with individual neutral atoms in optical tweezers. Philippe Grangier. Institut d Optique, Palaiseau, France
Quantum information processing with individual neutral atoms in optical tweezers Philippe Grangier Institut d Optique, Palaiseau, France Outline Yesterday s lectures : 1. Trapping and exciting single atoms
More informationExperimental Demonstration of Spinor Slow Light
Experimental Demonstration of Spinor Slow Light Ite A. Yu Department of Physics Frontier Research Center on Fundamental & Applied Sciences of Matters National Tsing Hua University Taiwan Motivation Quantum
More informationQuantum Reservoir Engineering
Departments of Physics and Applied Physics, Yale University Quantum Reservoir Engineering Towards Quantum Simulators with Superconducting Qubits SMG Claudia De Grandi (Yale University) Siddiqi Group (Berkeley)
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 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 informationSuperconducting quantum bits. Péter Makk
Superconducting quantum bits Péter Makk Qubits Qubit = quantum mechanical two level system DiVincenzo criteria for quantum computation: 1. Register of 2-level systems (qubits), n = 2 N states: eg. 101..01>
More informationDynamically protected cat-qubits: a new paradigm for universal quantum computation
Home Search Collections Journals About Contact us My IOPscience Dynamically protected cat-qubits: a new paradigm for universal quantum computation This content has been downloaded from IOPscience. Please
More informationSuperconducting Qubits Lecture 4
Superconducting Qubits Lecture 4 Non-Resonant Coupling for Qubit Readout A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, PRA 69, 062320 (2004) Measurement Technique Dispersive Shift
More informationarxiv: v1 [quant-ph] 6 Dec 2013
Dynamically protected cat-qubits: a new paradigm for universal quantum computation arxiv:32.207v [quant-ph] 6 Dec 203 Mazyar Mirrahimi,2, Zaki Leghtas 2, Victor V. Albert 2,3, Steven Touzard 2, Robert
More informationCircuit Quantum Electrodynamics
Circuit Quantum Electrodynamics David Haviland Nanosturcture Physics, Dept. Applied Physics, KTH, Albanova Atom in a Cavity Consider only two levels of atom, with energy separation Atom drifts through
More informationControlling the Interaction of Light and Matter...
Control and Measurement of Multiple Qubits in Circuit Quantum Electrodynamics Andreas Wallraff (ETH Zurich) www.qudev.ethz.ch M. Baur, D. Bozyigit, R. Bianchetti, C. Eichler, S. Filipp, J. Fink, T. Frey,
More informationControl of quantum two-level systems
R. Gross, A. Mar, F. Deppe, and K. Fedorov Walther-Meißner-Institut (00-08) AS-Chap. 6.3 - Control of quantum two-level sstems R. Gross, A. Mar, F. Deppe, and K. Fedorov Walther-Meißner-Institut (00-08)
More informationNew schemes for manipulating quantum states using a Kerr cell. Istituto Elettrotecnico Nazionale Galileo Ferraris, Str. delle Cacce 91, I Torino
New schemes for manipulating quantum states using a Kerr cell Marco Genovese and C.Novero Istituto Elettrotecnico Nazionale Galileo Ferraris, Str. delle Cacce 91, I-10135 Torino Recently, Quantum Non Demolition
More informationDiffraction effects in entanglement of two distant atoms
Journal of Physics: Conference Series Diffraction effects in entanglement of two distant atoms To cite this article: Z Ficek and S Natali 007 J. Phys.: Conf. Ser. 84 0007 View the article online for updates
More informationQuantum Light-Matter Interactions
Quantum Light-Matter Interactions QIC 895: Theory of Quantum Optics David Layden June 8, 2015 Outline Background Review Jaynes-Cummings Model Vacuum Rabi Oscillations, Collapse & Revival Spontaneous Emission
More informationQuantum Optics with Electrical Circuits: Strong Coupling Cavity QED
Quantum Optics 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 Schoelkopf
More informationMesoscopic Shelving Readout of Superconducting Qubits in Circuit Quantum Electrodynamics
Mesoscopic Shelving Readout of Superconducting Qubits in Circuit Quantum Electrodynamics Diploma Thesis by Barbara Gabriele Ursula Englert October 008 Supervised by Prof. Dr. Rudolf Gross and Prof. Dr.
More informationFelix Kleißler 1,*, Andrii Lazariev 1, and Silvia Arroyo-Camejo 1,** 1 Accelerated driving field frames
Supplementary Information: Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature Felix Kleißler 1,*, Andrii Lazariev 1, and Silvia
More informationDeterministic Coherent Writing and Control of the Dark Exciton Spin using Short Single Optical Pulses
Deterministic Coherent Writing and Control of the Dark Exciton Spin using Short Single Optical Pulses Ido Schwartz, Dan Cogan, Emma Schmidgall, Liron Gantz, Yaroslav Don and David Gershoni The Physics
More informationSolid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities
CQIQC-V -6 August, 03 Toronto Solid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities Chengyong Hu and John G. Rarity Electrical & Electronic
More informationB2.III Revision notes: quantum physics
B.III Revision notes: quantum physics Dr D.M.Lucas, TT 0 These notes give a summary of most of the Quantum part of this course, to complement Prof. Ewart s notes on Atomic Structure, and Prof. Hooker s
More informationQuantum decoherence: From the self-induced approach to Schrödinger-cat experiments
Quantum decoherence: From the self-induced approach to Schrödinger-cat experiments Maximilian Schlosshauer Department of Physics University of Washington Seattle, Washington Very short biography Born in
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 informationMultiparticle Entanglement and Interference in Cavity Quantum Electrodynamics
Multiparticle Entanglement and Interference in Cavity Quantum Electrodynamics A THESIS SUBMITTED TO GUJARAT UNIVERSITY for the degree of Doctor of Philosophy in Physics BY Pradyumna Kumar Pathak Quantum
More informationQuantum Information & Quantum Computing. (Experimental Part) Oliver Benson SoSe, 2016
Quantum Information & Quantum Computing (Experimental Part) Oliver Benson SoSe, 2016 Contents 1 Introduction 5 2 Optical and Cavity QED Implementations 7 2.1 Properties of an optical quantum computer............
More informationQuantum simulation with superconducting circuits
Quantum simulation with superconducting circuits Summary: introduction to quantum simulation with superconducting circuits: quantum metamaterials, qubits, resonators motional averaging/narrowing: theoretical
More informationarxiv: v1 [quant-ph] 24 Aug 2007
1 arxiv:0708.395v1 [quant-ph] 4 Aug 007 Recent progress on the manipulation of single atoms in optical tweezers for quantum computing A. Browaeys, J. Beugnon, C. Tuchendler, H. Marion, A. Gaëtan, Y. Miroshnychenko,
More informationSuperposition of two mesoscopically distinct quantum states: Coupling a Cooper-pair box to a large superconducting island
PHYSICAL REVIEW B, VOLUME 63, 054514 Superposition of two mesoscopically distinct quantum states: Coupling a Cooper-pair box to a large superconducting island Florian Marquardt* and C. Bruder Departement
More informationQubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting
Qubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting Jay Gambetta, 1 Alexandre Blais, 1,2 D. I. Schuster, 1 A. Wallraff, 1,3 L. Frunzio, 1 J. Majer, 1 M. H. Devoret,
More informationExploring the quantum nature of light in a cavity
Exploring the quantum nature of light in a cavity Serge Haroche, ENS and Collège de France, Paris Trapped quantum field probed by single atoms A «photon box» as an ideal laboratory to demonstrate effects
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 informationQuantum non-demolition measurements: a new resource for making linear logic scalable
Quantum non-demolition measurements: a new resource for making linear logic scalable Kae Nemoto 1, William J. Munro, Timothy P. Spiller, R.G. Beausoleil Trusted Systems Laboratory HP Laboratories Bristol
More informationMesoscopic quantum measurements
Mesoscopic quantum measurements D.V. Averin Department of Physics and Astronomy SUNY Stony Brook A. Di Lorentzo K. Rabenstein V.K. Semenov D. Shepelyanskii E.V. Sukhorukov Summary α β Example of the trivial
More informationQuantum Computation 650 Spring 2009 Lectures The World of Quantum Information. Quantum Information: fundamental principles
Quantum Computation 650 Spring 2009 Lectures 1-21 The World of Quantum Information Marianna Safronova Department of Physics and Astronomy February 10, 2009 Outline Quantum Information: fundamental principles
More informationMotion and motional qubit
Quantized motion Motion and motional qubit... > > n=> > > motional qubit N ions 3 N oscillators Motional sidebands Excitation spectrum of the S / transition -level-atom harmonic trap coupled system & transitions
More informationPHY305: Notes on Entanglement and the Density Matrix
PHY305: Notes on Entanglement and the Density Matrix Here follows a short summary of the definitions of qubits, EPR states, entanglement, the density matrix, pure states, mixed states, measurement, and
More informationCollège de France abroad Lectures Quantum information with real or artificial atoms and photons in cavities
Collège de France abroad Lectures Quantum information with real or artificial atoms and photons in cavities Lecture 6: Circuit QED experiments synthesing arbitrary states of quantum oscillators. Introduction
More informationFrom trapped ions to macroscopic quantum systems
7th International Summer School of the SFB/TRR21 "Control of Quantum Correlations in Tailored Matter 21-13 July 2014 From trapped ions to macroscopic quantum systems Peter Rabl Yesterday... Trapped ions:
More informationQUANTUM THEORY OF LIGHT EECS 638/PHYS 542/AP609 FINAL EXAMINATION
Instructor: Professor S.C. Rand Date: April 5 001 Duration:.5 hours QUANTUM THEORY OF LIGHT EECS 638/PHYS 54/AP609 FINAL EXAMINATION PLEASE read over the entire examination before you start. DO ALL QUESTIONS
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 informationIntroduction to Cavity QED
Introduction to Cavity QED Fabian Grusdt March 9, 2011 Abstract This text arose in the course of the Hauptseminar Experimentelle Quantenoptik in WS 2010 at the TU Kaiserslautern, organized by Prof. Ott
More informationQuantum optics. Marian O. Scully Texas A&M University and Max-Planck-Institut für Quantenoptik. M. Suhail Zubairy Quaid-i-Azam University
Quantum optics Marian O. Scully Texas A&M University and Max-Planck-Institut für Quantenoptik M. Suhail Zubairy Quaid-i-Azam University 1 CAMBRIDGE UNIVERSITY PRESS Preface xix 1 Quantum theory of radiation
More informationNonlinear optics with single quanta
Nonlinear optics with single quanta A brief excursion into cavity quantum electrodynamics Kevin Moore Physics 208 Fall 2004 What characterizes linear systems? X stuff Y 1. Start with input X 2. X impinges
More informationTELEPORTATION OF ATOMIC STATES VIA CAVITY QUANTUM ELECTRODYNAMICS
TELEPORTATION OF ATOMIC STATES VIA CAVITY QUANTUM ELECTRODYNAMICS arxiv:quant-ph/0409194v1 7 Sep 004 E. S. Guerra Departamento de Física Universidade Federal Rural do Rio de Janeiro Cx. Postal 3851, 3890-000
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 informationSupplementary Information for
Supplementary Information for Ultrafast Universal Quantum Control of a Quantum Dot Charge Qubit Using Landau-Zener-Stückelberg Interference Gang Cao, Hai-Ou Li, Tao Tu, Li Wang, Cheng Zhou, Ming Xiao,
More informationBohr s Legacy in Cavity QED
Bohr, 1913-2013, Séminaire Poincaré XVII (2013) 59 97 Séminaire Poincaré Bohr s Legacy in Cavity QED Serge Haroche, Jean-Michel Raimond LKB, ENS, 24 rue Lhomond, 75005, Paris, France Collège de France,
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 informationMatter wave interferometry beyond classical limits
Max-Planck-Institut für Quantenoptik Varenna school on Atom Interferometry, 15.07.2013-20.07.2013 The Plan Lecture 1 (Wednesday): Quantum noise in interferometry and Spin Squeezing Lecture 2 (Friday):
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 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 informationSolid State Physics IV -Part II : Macroscopic Quantum Phenomena
Solid State Physics IV -Part II : Macroscopic Quantum Phenomena Koji Usami (Dated: January 6, 015) In this final lecture we study the Jaynes-Cummings model in which an atom (a two level system) is coupled
More informationCoherence and optical electron spin rotation in a quantum dot. Sophia Economou NRL. L. J. Sham, UCSD R-B Liu, CUHK Duncan Steel + students, U Michigan
Coherence and optical electron spin rotation in a quantum dot Sophia Economou Collaborators: NRL L. J. Sham, UCSD R-B Liu, CUHK Duncan Steel + students, U Michigan T. L. Reinecke, Naval Research Lab Outline
More informationarxiv: v1 [quant-ph] 3 Nov 2015
Nonadiabatic holonomic single-qubit gates in off-resonant Λ systems Erik Sjöqvist a arxiv:1511.00911v1 [quant-ph] 3 Nov 015 a Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 0
More informationQuantum Optics Project I
Quantum Optics Project I Carey Phelps, Tim Sweeney, Jun Yin Department of Physics and Oregon Center for Optics 5 April 7 Problem I The Bloch equations for the two-level atom were integrated using numerical
More information