Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
|
|
- Evangeline Hardy
- 5 years ago
- Views:
Transcription
1 Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell Science 14 Jul 1995; Vol. 269, Issue 5221, pp DOI: /science
2 Presented by Udit Gupta 1, Greg Hamilton 1, Vincent Hickl 1, Michael Highman 1, Yujie Zhang 1, and Sophie 1,2 1 Department of Physics, University of Illinois, Urbana-Champaign 2 Physics Department, Bow(wow)doin College, Brunswick
3 Prediction of Bose-Einstein Condensates Predicted by Satyendra Nath Bose and Albert Einstein in 1924: Gas of non-interacting bosons will develop macroscopic population of the ground state. The gas forms a giant matter wave.
4 A Quantum State of Matter De Broglie wavelength is larger than mean interatomic spacing: Phase space density: Interactions raise the energy, necessitating a weakly-interacting, dilute gas Critical temperature for BEC: ~ 10-7 K
5 How to cool a dilute gas Laser cooling: incident photons slow down gas particles. Figures 1-3.1: Laser has longer wavelength than absorption line Only approaching particles can absorb Figures 3.2 & 3.3: Photons are re-emitted in random direction Evaporative cooling: Laser-cooled atoms loaded into magnetic trap Higher energy atoms are allowed to escape Image by Cmglee
6 BEC Work Prior to 1995 Laser cooling pioneered by Steve Chu/Bill Phillips in the 1970s: Magneto-Optical Trap (MOT) of sodium Randy Hulet (95) - published less conclusive work on a lithium-7 experiment which showed lensing of laser light around the condensate, couldn t do time of flight Wolfgang Ketterle (94-95) - did BEC work with sodium. In late 1994 experimental issues likely prevented him from being the first Locally - Lin and Wolfe (93) at UIUC showed BEC of paraexcitons in stressed Cu 2 O.
7 Experimental Setup 1. Vapor loaded magneto-optical trap (MOT) ~ 300 s loading time 2. Dark MOT used to increase density 3. Load into a magnetic trap for evaporative cooling a. No species of atom is in stable equilibrium when held in a magnetic trap b. Time-Orbiting Potential used to give an averaged field zero 4. Evaporative cooling increases phase space density by reducing T and increasing n. 5. Time of flight and absorption imaging used to measure the spatial and velocity distributions of the condensate 6. Relevant Measurements: 170 nk, n=2*10 12 cm -3
8 Anisotropic velocity distribution Distribution found from time-of-flight measurements Phase space density and a (rough) estimation of particle number False color imaging of gas before and after condensate forms. Color indicate the velocity distribution, note the elliptic shape of the distribution after the phase transition.
9 Interpreting Results Anisotropic velocity distribution signature of ground state wavefunction In thermal equilibrium, velocity distribution is isotopic, regardless of confining potential For this setup, ground state wave function follows symmetry of Hamiltonian, and is anistropic in radial direction Back-of-the-envelope calculation indicate several hundred particles in ground state Same calculation shows average phase space density is above 2.61, in agreement with theoretical results
10 Extensions and Citations of Results Bose-Einstein Condensation of Lithium (Hulet, 1997) - Negative scattering length, normally prevents BEC - Theory predicts max 1400 atom BEC of 7 Li - Mean field interaction energy balanced by kinetic pressure of gas, metastable BEC All-Optical Formation of an Atomic Bose-Einstein Condensate (Barrett, 2001) - Loaded gas from Magnetooptical trap to crossed lasers. - BEC using two crossed CO 2 laser beams - Evaporative cooling achieved by lowering laser power
11 Critiques of Paper Pros: First evaporative cooling down a dilute trapped gas below 170 nk. First success in cooling collections of bosonic particles and first experimental demonstration of Bose-Einstein Condensation. Cons: The phase-space density of condensate calculated via experiment data doesn t match the theoretical prediction ( ). The bosonic condensation has to be destroyed in order to measure the velocity distribution and observe the BEC.
12 Summary First experimental observation of BEC First demonstration of magnetic evaporative cooling Macroscopic visualization of ground state wavefunction
Realization of Bose-Einstein Condensation in dilute gases
Realization of Bose-Einstein Condensation in dilute gases Guang Bian May 3, 8 Abstract: This essay describes theoretical aspects of Bose-Einstein Condensation and the first experimental realization of
The amazing story of Laser Cooling and Trapping
The amazing story of Laser Cooling and Trapping following Bill Phillips Nobel Lecture http://www.nobelprize.org/nobel_prizes/physics/ laureates/1997/phillips-lecture.pdf Laser cooling of atomic beams 1
Introduction to cold atoms and Bose-Einstein condensation (II)
Introduction to cold atoms and Bose-Einstein condensation (II) Wolfgang Ketterle Massachusetts Institute of Technology MIT-Harvard Center for Ultracold Atoms 7/7/04 Boulder Summer School * 1925 History
Lecture 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
Bose-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
Quantum Properties of Two-dimensional Helium Systems
Quantum Properties of Two-dimensional Helium Systems Hiroshi Fukuyama Department of Physics, Univ. of Tokyo 1. Quantum Gases and Liquids 2. Bose-Einstein Condensation 3. Superfluidity of Liquid 4 He 4.
BEC Vortex Matter. Aaron Sup October 6, Advisor: Dr. Charles Hanna, Department of Physics, Boise State University
BEC Vortex Matter Aaron Sup October 6, 006 Advisor: Dr. Charles Hanna, Department of Physics, Boise State University 1 Outline 1. Bosons: what are they?. Bose-Einstein Condensation (BEC) 3. Vortex Formation:
70 YEAR QUEST ENDS IN SUCCESS BOSE-EINSTEIN CONDENSATION 2001 NOBEL PRIZE IN PHYSICS
70 YEAR QUEST ENDS IN SUCCESS BOSE-EINSTEIN CONDENSATION 2001 NOBEL PRIZE IN PHYSICS 8.044, LECTURE 33, SPRING 2004 BOSE-EINSTEIN CONDENSATION IS A QUANUM MECHANICAL EFFECT Image removed due to copyright
Chapter 7: Quantum Statistics
Part II: Applications - Bose-Einstein Condensation SDSMT, Physics 204 Fall Introduction Historic Remarks 2 Bose-Einstein Condensation Bose-Einstein Condensation The Condensation Temperature 3 The observation
Studies of Ultracold. Ytterbium and Lithium. Anders H. Hansen University of Washington Dept of Physics
Studies of Ultracold Ytterbium and Lithium Anders H. Hansen University of Washington Dept of Physics U. Washington CDO Networking Days 11/18/2010 Why Ultracold Atoms? Young, active discipline Two Nobel
From 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
Chapter 7: Quantum Statistics
Part II: Applications - Bose-Einstein Condensation SDSMT, Physics 203 Fall Introduction Historic Remarks 2 Bose-Einstein Condensation Bose-Einstein Condensation The Condensation Temperature 3 The observation
Revolution in Physics. What is the second quantum revolution? Think different from Particle-Wave Duality
PHYS 34 Modern Physics Ultracold Atoms and Trappe Ions Today and Mar.3 Contents: a) Revolution in physics nd Quantum revolution b) Quantum simulation, measurement, and information c) Atomic ensemble and
Many-Body Physics with Quantum Gases
Many-Body Physics with Quantum Gases Christophe Salomon Okinawa Summer school on quantum dynamics September 26-October 6, 2017 Ecole Normale Supérieure, Paris Summary of lectures Quantum simulation with
Achieving steady-state Bose-Einstein condensation
PHYSICAL REVIEW A VOLUME 57, NUMBER 3 MARCH 1998 Achieving steady-state Bose-Einstein condensation J. Williams, R. Walser, C. Wieman, J. Cooper, and M. Holland JILA and Department of Physics, University
Precision 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?
arxiv:cond-mat/ v1 13 Mar 1998
Stability of Solution of the Nonlinear Schrödinger Equation for the Bose-Einstein Condensation arxiv:cond-mat/9803174v1 13 Mar 1998 Yeong E. Kim and Alexander L. Zubarev Department of Physics, Purdue University
Introduction 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
ABSOLUTE ZERO Karina Aliaga
ABSOLUTE ZERO Karina Aliaga WHAT IS ABSOLUTE ZERO? Temperature is a physical quantity that measures the kinetic energy of particles in matter. It depends on the oscillations of atoms and molecules. As
Cold Metastable Neon Atoms Towards Degenerated Ne*- Ensembles
Cold Metastable Neon Atoms Towards Degenerated Ne*- Ensembles Supported by the DFG Schwerpunktprogramm SPP 1116 and the European Research Training Network Cold Quantum Gases Peter Spoden, Martin Zinner,
Ytterbium 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
What are we going to talk about: BEC and Nonlinear Atom Optics
What are we going to talk about: BEC and Nonlinear Atom Optics Nobel Prize Winners E. A. Cornell 1961JILA and NIST Boulder, Co, USA W. Ketterle C. E. Wieman 19571951MIT, JILA and UC, Cambridge.M Boulder,
Bose Einstein Condensation
April 3, 2017 Quantum Physics becomes visible in the cold Quantum Effects in Macroscopic World at Low Temperature Superconductivity Quantum Hall Effect Bose Einstein Condensation Deep down, all matter
Bose-Einstein Condensation Lesson
Bose-Einstein Condensation Lesson This is the last lecture from PHYS1010 at CU Boulder and covers Bose-Einstein Condensation, as researched by Professor Carl Wieman. Multiple applets are used, including
Bose-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
Ultra-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
Laser stabilization via saturated absorption spectroscopy of iodine for applications in laser cooling and Bose-Einstein condensate creation
Laser stabilization via saturated absorption spectroscopy of iodine for applications in laser cooling and Bose-Einstein condensate creation Arron Potter Laser stabilization via saturated absorption spectroscopy
In Situ Imaging of Cold Atomic Gases
In Situ Imaging of Cold Atomic Gases J. D. Crossno Abstract: In general, the complex atomic susceptibility, that dictates both the amplitude and phase modulation imparted by an atom on a probing monochromatic
Effective Field Theory and Ultracold Atoms
Effective Field Theory and Ultracold Atoms Eric Braaten Ohio State University support Department of Energy Air Force Office of Scientific Research Army Research Office 1 Effective Field Theory and Ultracold
Cold atoms. 1: Bose-Einstein Condensation. Emil Lundh. April 13, Department of Physics Umeå University
1: Bose-Einstein Condensation Department of Physics Umeå University lundh@tp.umu.se April 13, 2011 Umeå 114 000 inhabitants Average age 37.9 years Cultural capital of Europe 2014 400 km ski tracks 180
Quantum Mechanica. Peter van der Straten Universiteit Utrecht. Peter van der Straten (Atom Optics) Quantum Mechanica January 15, / 22
Quantum Mechanica Peter van der Straten Universiteit Utrecht Peter van der Straten (Atom Optics) Quantum Mechanica January 15, 2013 1 / 22 Matrix methode Peter van der Straten (Atom Optics) Quantum Mechanica
Workshop on Supersolid August Brief introduction to the field. M. Chan Pennsylvania State University, USA
1959-11 Workshop on Supersolid 2008 18-22 August 2008 Brief introduction to the field M. Chan Pennsylvania State University, USA Superfluid and supersolid An introduction at the ICTP Supersolid 2008 workshop
On the path to Bose-Einstein condensate
On the path to Bose-Einstein condensate Peter Ferjančič Menthors: prof. dr. Denis Arčon and dr. Peter Jeglič University of Ljubljana, Faculty of Mathematics and Physics, peter.ferjancic@gmail.com April
Supersolids. Bose-Einstein Condensation in Quantum Solids Does it really exist?? W. J. Mullin
Supersolids Bose-Einstein Condensation in Quantum Solids Does it really exist?? W. J. Mullin This is a lively controversy in condensed matter physics. Experiment says yes. Theory says no, or at best maybe.
arxiv:physics/ v2 [physics.atom-ph] 5 Oct 1998
Bose-Einstein Condensation of Atomic Hydrogen arxiv:physics/9809017v2 [physics.atom-ph] 5 Oct 1998 Dale G. Fried, Thomas C. Killian, Lorenz Willmann, David Landhuis, Stephen C. Moss, Daniel Kleppner, and
Bose-Einstein condensation; Quantum weirdness at the lowest temperature in the universe
Bose-Einstein condensation; Quantum weirdness at the lowest temperature in the universe JILA BEC Effort Eric Cornell, Carl Wieman 1990Anderson, Ensher, Jin, Hall, Matthews, Myatt, Monroe, Claussen, Roberts,
arxiv:cond-mat/ v2 5 Apr 1999
arxiv:cond-mat/9904034v2 5 Apr 1999 Making, probing and understanding Bose-Einstein condensates W. Ketterle, D.S. Durfee, and D.M. Stamper-Kurn Department of Physics and Research Laboratory of Electronics,
EYLSA laser for atom cooling
1/7 For decades, cold atom system and Bose-Einstein condensates (obtained from ultra-cold atoms) have been two of the most studied topics in fundamental physics. Several Nobel prizes have been awarded
PHYSICAL REVIEW LETTERS
PHYSICAL REVIEW LETTERS VOLUME 78 10 FEBRUARY 1997 NUMBER 6 Bose-Einstein Condensation of Lithium: Observation of Limited Condensate Number C. C. Bradley, C. A. Sackett, and R. G. Hulet Physics Department
Monte Carlo Simulation of Bose Einstein Condensation in Traps
Monte Carlo Simulation of Bose Einstein Condensation in Traps J. L. DuBois, H. R. Glyde Department of Physics and Astronomy, University of Delaware Newark, Delaware 19716, USA 1. INTRODUCTION In this paper
STIMULATED RAMAN ATOM-MOLECULE CONVERSION IN A BOSE-EINSTEIN CONDENSATE. Chisinau, Republic of Moldova. (Received 15 December 2006) 1.
STIMULATED RAMAN ATOM-MOLECULE CONVERSION IN A BOSE-EINSTEIN CONDENSATE P.I. Khadzhi D.V. Tkachenko Institute of Applied Physics Academy of Sciences of Moldova 5 Academiei str. MD-8 Chisinau Republic of
Standing Sound Waves in a Bose-Einstein Condensate
Standing Sound Waves in a Bose-Einstein Condensate G.A.R. van Dalum Debye Institute - Universiteit Utrecht Supervisors: P. van der Straten, A. Groot and P.C. Bons July 17, 2012 Abstract We study two different
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
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,
Ultracold atoms and molecules
Advanced Experimental Techniques Ultracold atoms and molecules Steven Knoop s.knoop@vu.nl VU, June 014 1 Ultracold atoms laser cooling evaporative cooling BEC Bose-Einstein condensation atom trap: magnetic
Confining 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
Minimum Bias Events at ATLAS
Camille Bélanger-Champagne Lehman McGill College University City University of New York Thermodynamics Charged Particle and Correlations Statistical Mechanics in Minimum Bias Events at ATLAS Statistical
Chapter4: Quantum Optical Control
Chapter4: Quantum Optical Control Laser cooling v A P3/ B P / C S / Figure : Figure A shows how an atom is hit with light with momentum k and slows down. Figure B shows atom will absorb light if frequency
Physics 598 ESM Term Paper Giant vortices in rapidly rotating Bose-Einstein condensates
Physics 598 ESM Term Paper Giant vortices in rapidly rotating Bose-Einstein condensates Kuei Sun May 4, 2006 kueisun2@uiuc.edu Department of Physics, University of Illinois at Urbana- Champaign, 1110 W.
Ana 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
Ion traps. Trapping of charged particles in electromagnetic. Laser cooling, sympathetic cooling, optical clocks
Ion traps Trapping of charged particles in electromagnetic fields Dynamics of trapped ions Applications to nuclear physics and QED The Paul trap Laser cooling, sympathetic cooling, optical clocks Coulomb
COPYRIGHTED MATERIAL. Index
347 Index a AC fields 81 119 electric 81, 109 116 laser 81, 136 magnetic 112 microwave 107 109 AC field traps see Traps AC Stark effect 82, 84, 90, 96, 97 101, 104 109 Adiabatic approximation 3, 10, 32
Pure Substance Properties and Equation of State
Pure Substance Properties and Equation of State Pure Substance Content Pure Substance A substance that has a fixed chemical composition throughout is called a pure substance. Water, nitrogen, helium, and
Optimization of evaporative cooling
PHYSICAL REVIEW A VOLUME 55, NUMBER 5 MAY 1997 Optimization of evaporative cooling C. A. Sackett, C. C. Bradley, and R. G. Hulet Physics Department and Rice Quantum Institute, Rice University, Houston,
Fluids 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
The Gross-Pitaevskii Equation A Non-Linear Schrödinger Equation
The Gross-Pitaevskii Equation A Non-Linear Schrödinger Equation Alan Aversa December 29, 2011 Abstract Summary: The Gross-Pitaevskii equation, also called the non-linear Schrödinger equation, describes
Quantum 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,
Week 13. PHY 402 Atomic and Molecular Physics Instructor: Sebastian Wüster, IISERBhopal, Frontiers of Modern AMO physics. 5.
Week 13 PHY 402 Atomic and Molecular Physics Instructor: Sebastian Wüster, IISERBhopal,2018 These notes are provided for the students of the class above only. There is no warranty for correctness, please
Quantum Theory of the Atom
The Wave Nature of Light Quantum Theory of the Atom Electromagnetic radiation carries energy = radiant energy some forms are visible light, x rays, and radio waves Wavelength ( λ) is the distance between
Bose-Einstein condensates & tests of quantum mechanics
Bose-Einstein condensates & tests of quantum mechanics Poul Lindholm Pedersen Ultracold Quantum Gases Group PhD day, 31 10 12 Bose-Einstein condensation T high Classical particles T = 0 Pure condensate
Multipath 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
BEC AND MATTER WAVES an overview Allan Griffin, University of Toronto
BEC AND MATTER WAVES an overview Allan Griffin, University of Toronto The discovery of Bose-Einstein condensation ( BEC ) in 1995 in dilute, ultracold trapped atomic gases is one of the most exciting developments
A 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
cond-mat/ v2 16 Aug 1999
Mach-Zehnder Bragg interferometer for a Bose-Einstein Condensate Yoshio Torii,* Yoichi Suzuki, Mikio Kozuma and Takahiro Kuga Institute of Physics, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902,
Ultracold Fermi and Bose Gases and Spinless Bose Charged Sound Particles
October, 011 PROGRESS IN PHYSICS olume 4 Ultracold Fermi Bose Gases Spinless Bose Charged Sound Particles ahan N. Minasyan alentin N. Samoylov Scientific Center of Applied Research, JINR, Dubna, 141980,
We can then linearize the Heisenberg equation for in the small quantity obtaining a set of linear coupled equations for and :
Wednesday, April 23, 2014 9:37 PM Excitations in a Bose condensate So far: basic understanding of the ground state wavefunction for a Bose-Einstein condensate; We need to know: elementary excitations in
Quantum Information Storage with Slow and Stopped Light
Quantum Information Storage with Slow and Stopped Light Joseph A. Yasi Department of Physics, University of Illinois at Urbana-Champaign (Dated: December 14, 2006) Abstract This essay describes the phenomena
The 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
OPTICAL METHODS. A SIMPLE WAY TO INTERROGATE AND TO MANIPULATE ATOMSI CLAUDE COHEN-TANNOUDJI
OPTICAL METHODS. A SIMPLE WAY TO INTERROGATE AND TO MANIPULATE ATOMSI CLAUDE COHEN-TANNOUDJI OPTICAL METHODS By letting atoms interact with resonant light, one can - prepare atoms in interesting states
arxiv:cond-mat/ v1 [cond-mat.quant-gas] 26 Nov 2002
Bose-Einstein condensation in a magnetic double-well potential arxiv:cond-mat/21164v1 [cond-mat.quant-gas] 26 Nov 22 T.G. Tiecke, M. Kemmann, Ch. Buggle, I. Shvarchuck, W. von Klitzing, and J.T.M. Walraven
BEC of 6 Li 2 molecules: Exploring the BEC-BCS crossover
Institut für Experimentalphysik Universität Innsbruck Dresden, 12.10. 2004 BEC of 6 Li 2 molecules: Exploring the BEC-BCS crossover Johannes Hecker Denschlag The lithium team Selim Jochim Markus Bartenstein
Dynamics of interacting vortices on trapped Bose-Einstein condensates. Pedro J. Torres University of Granada
Dynamics of interacting vortices on trapped Bose-Einstein condensates Pedro J. Torres University of Granada Joint work with: P.G. Kevrekidis (University of Massachusetts, USA) Ricardo Carretero-González
Interferencing intensity in two Bose Einstein condensates with Josephson-like coupling
Physica A 274 (1999) 484 490 www.elsevier.com/locate/physa Interferencing intensity in two Bose Einstein condensates with Josephson-like coupling Xiao-Guang Wang a;, Shao-Hua Pan b;c, Guo-Zhen Yang b;c
6P 3/2 6S 1/2. optical pumping. degenerate Raman transition. ıν=2> ıν=1> ıν=0> ıν=2> ıν=1> ıν=0> Zeeman energy. F=3, m F =3
RAMAN SIDEBAND COOLING IN AN OPTICAL LATTICE VLADAN VULETIĆ, ANDREW J. KERMAN, CHENG CHIN, AND STEVEN CHU Department of Physics, Stanford University, Stanford, CA 94306-4060, USA E-mail: vladan2@leland.stanford.edu
Lecture 21: Lasers, Schrödinger s Cat, Atoms, Molecules, Solids, etc. Review and Examples. Lecture 21, p 1
Lecture 21: Lasers, Schrödinger s Cat, Atoms, Molecules, Solids, etc. Review and Examples Lecture 21, p 1 Act 1 The Pauli exclusion principle applies to all fermions in all situations (not just to electrons
C. A. Sackett, J. M. Gerton, M. Welling, and R. G. Hulet 1. Physics Department, MS 61. Rice University. Houston, TX 77251
Collective Collapse of a Bose-Einstein Condensate with Attractive Interactions C. A. Sackett, J. M. Gerton, M. Welling, and R. G. Hulet 1 Physics Department, MS 61 Rice University Houston, TX 77251 Abstract.
Complete nomenclature for electron orbitals
Complete nomenclature for electron orbitals Bohr s model worked but it lacked a satisfactory reason why. De Broglie suggested that all particles have a wave nature. u l=h/p Enter de Broglie again It was
The XY model, the Bose Einstein Condensation and Superfluidity in 2d (I)
The XY model, the Bose Einstein Condensation and Superfluidity in 2d (I) B.V. COSTA UFMG BRAZIL LABORATORY FOR SIMULATION IN PHYSICS A Guide to Monte Carlo Simulations in Statistical Physics by Landau
BOSE-EINSTEIN CONDENSATION AND MACROSCOPIC INTERFERENCE WITH ATOMIC TUNNEL ARRAYS
BOSE-EINSTEIN CONDENSATION AND MACROSCOPIC INTERFERENCE WITH ATOMIC TUNNEL ARRAYS a dissertation submitted to the department of applied physics and the committee on graduate studies of stanford university
Optimization of transfer of laser-cooled atom cloud to a quadrupole magnetic trap
PRAMANA c Indian Academy of Sciences Vol. 82, No. 2 journal of February 2014 physics pp. 419 423 Optimization of transfer of laser-cooled atom cloud to a quadrupole magnetic trap SPRAM, S K TIWARI, S R
PHYS 172: Modern Mechanics Fall 2009
PHYS 172: Modern Mechanics Fall 2009 Lecture 14 Energy Quantization Read 7.1 7.9 Reading Question: Ch. 7, Secs 1-5 A simple model for the hydrogen atom treats the electron as a particle in circular orbit
A 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
Fermi Condensates ULTRACOLD QUANTUM GASES
Fermi Condensates Markus Greiner, Cindy A. Regal, and Deborah S. Jin JILA, National Institute of Standards and Technology and University of Colorado, and Department of Physics, University of Colorado,
CRITICAL TEMPERATURE AND CONDENSATE FRACTION OF A BOSE EINSTEIN CONDENSATE TRAPPED IN A FINITE VOLUME
CRITICAL TEMPERATURE AND CONDENSATE FRACTION OF A BOSE EINSTEIN CONDENSATE TRAPPED IN A FINITE VOLUME Mukoya AK 1, *Sakwa TW, 3, Khanna KM 4, Ayodo YK, Sarai A, Rapando BW and Namwitako J 4 1 Department
Exceptional Points for Nonlinear Schrödinger Equations Describing Bose-Einstein Condensates of Ultracold Atomic Gases
Exceptional Points for Nonlinear Schrödinger Equations Describing Bose-Einstein Condensates of Ultracold Atomic Gases G. Wunner, H. Cartarius, P. Köberle, J. Main, S. Rau Abstract The coalescence of two
Quantum Information Processing
Quantum Information Processing Jonathan Jones http://nmr.physics.ox.ac.uk/teaching The Information Age Communication Shannon Computation Turing Current approaches are essentially classical which is wrong
UNIVERSITY OF MARYLAND Department of Physics College Park, Maryland. PHYSICS Ph.D. QUALIFYING EXAMINATION PART II
UNIVERSITY OF MARYLAND Department of Physics College Park, Maryland PHYSICS Ph.D. QUALIFYING EXAMINATION PART II January 20, 2017 9:00 a.m. 1:00 p.m. Do any four problems. Each problem is worth 25 points.
THEORETICAL PROBLEM 2 DOPPLER LASER COOLING AND OPTICAL MOLASSES
THEORETICAL PROBLEM 2 DOPPLER LASER COOLING AND OPTICAL MOLASSES The purpose of this problem is to develop a simple theory to understand the so-called laser cooling and optical molasses phenomena. This
NanoKelvin 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
84 Quantum Theory of Many-Particle Systems ics [Landau and Lifshitz (198)] then yields the thermodynamic potential so that one can rewrite the statist
Chapter 6 Bosons and fermions at finite temperature After reviewing some statistical mechanics in Sec. 6.1, the occupation number representation is employed to derive some standard results for noninteracting
From 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
PHYS 3313 Section 001 Lecture # 24
PHYS 3313 Section 001 Lecture # 24 Wednesday, April 29, Dr. Alden Stradling Equipartition Theorem Quantum Distributions Fermi-Dirac and Bose-Einstein Statistics Liquid Helium Laser PHYS 3313-001, Spring
All-optical formation of a Bose-Einstein condensate for applications in scanning electron microscopy
Appl. Phys. B manuscript No. (will be inserted by the editor) All-optical formation of a Bose-Einstein condensate for applications in scanning electron microscopy T. Gericke 1, P. Würtz 1, D. Reitz 1,
Output coupling of a Bose-Einstein condensate formed in a TOP trap
Output coupling of a Bose-Einstein condensate formed in a TOP trap J. L. Martin, C. R. McKenzie, N. R. Thomas, J. C. Sharpe, D. M. Warrington, P. J. Manson, W. J. Sandle and A. C. Wilson Department of
features CHRISTOPHER TOWNSEND, WOLFGANG KETTERLE AND SANDRO STRINGARI
features Physics World 29 Bose-Einstein condensation is an exotic quantum phenomenon that was observed in dilute atomic gases for the first time in 1995, and is now the subject of intense theoretical and
Interaction between atoms
Interaction between atoms MICHA SCHILLING HAUPTSEMINAR: PHYSIK DER KALTEN GASE INSTITUT FÜR THEORETISCHE PHYSIK III UNIVERSITÄT STUTTGART 23.04.2013 Outline 2 Scattering theory slow particles / s-wave
SUPPLEMENTARY INFORMATION
Summary We describe the signatures of exciton-polariton condensation without a periodically modulated potential, focusing on the spatial coherence properties and condensation in momentum space. The characteristics
A study of the BEC-BCS crossover region with Lithium 6
A study of the BEC-BCS crossover region with Lithium 6 T.Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. Kokkelmans, Christophe Salomon Theory: D. Petrov, G. Shlyapnikov,
PROGRESS TOWARDS CONSTRUCTION OF A FERMIONIC ATOMIC CLOCK FOR NASA S DEEP SPACE NETWORK
PROGRESS TOWARDS CONSTRUCTION OF A FERMIONIC ATOMIC CLOCK FOR NASA S DEEP SPACE NETWORK Megan K. Ivory Advisor: Dr. Seth A. Aubin College of William and Mary Atomic clocks are the most accurate time and
Non-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
Bose-Einstein condensation of lithium molecules and studies of a strongly interacting Fermi gas
Bose-Einstein condensation of lithium molecules and studies of a strongly interacting Fermi gas Wolfgang Ketterle Massachusetts Institute of Technology MIT-Harvard Center for Ultracold Atoms 3/4/04 Workshop