Quantum gases : finite temperature and non-equilibrium dynamics

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Title:

Series:

Cold atoms ; v. 1

Publication Information:

London : Imperial College Press, 2013

Physical Description:

xxiv, 554 p. : ill. ; 24 cm.

ISBN:

9781848168107

Abstract:

A broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics and statistical mechanics

Subject Term:

Cold gases

Quantum theory

Added Author:

Proukakis, Nick

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Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010312199	QC175.16.P5 Q36 2013	Open Access Book	Book	Searching... Unknown

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Summary

The 1995 observation of Bose-Einstein condensation in dilute atomic vapours spawned the field of ultracold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems.This self-contained volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics. Thematically organised chapters on different methodologies, contributed by key researchers using a unified notation, provide the first integrated view of the relative merits of individual approaches, aided by pertinent introductory chapters and the guidance of editorial notes.Both graduate students and established researchers wishing to understand the state of the art will greatly benefit from this comprehensive and up-to-date review of non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids.

N.P. Proukakis and K. BurnettP. KrügerS.A. Hopkins and S.L. CornishM.J. Davis and S.A. Gardiner and T.M. Hanna and N. Nygaard and N.P. Proukakis and M.H. SzymanskaA.J. Allen and C.F. Barenghi and N.P. Proukakis and E. ZarembaR. WalserT.M. Hanna and J. Mur-PetitS.A. Gardiner and P.P. BillamO.E. Alon and A.I. Streltsov and K. Sakmann and L.S. CederbaumM.J. Davis and T.M. Wright and P.B. Blakie and A.S. Bradley and R.J. Ballagh and C.W. GardinerS.P. Cockburn and N.P. ProukakisM. Brewczyk and M. Gajda and K. RzazewskiJ. Ruostekoski and A.D. MartinA. Sinatra and Y. Castin and I. Carusotto and C. Lobo and E. WitkowskaP.D. DrummondC. Bodet and M. Kronenwett and B. Nowak and D. Sexty and T. GasenzerN.P. Proukakis and M.J. Davis and S.A. GardinerA. Griffin and E. ZarembaT.M. Wright and M.J. Davis and N.P. ProukakisM. RigolA.J. DaleyM.L. Wall and L.D. CarrM. Snoek and W. HofstetterH. Salman and N.G. Berloff and P.H. RobertsN. NygaardA. Bulgac and M.M. ForbesP. Corboz and M. Ögren and K. Kheruntsyan and J.F. CorneyD.W. SnokeD. Sanvitto and I. CarusottoM.H. Szymanska and J. Keeling and P.B. Littlewood

Foreword	p. v
Preface	p. vii
Participants of FINESS 2009 (Durham)	p. xi
Common Symbols/Expressions and their Meanings	p. xxi
Part I Introductory Material	p. 1
Editorial Notes	p. 3
I.A Quantum Gases: The Background	p. 5
1 Quantum Gases: Setting the Scene	p. 7
I.B Quantum Gases: Experimental Considerations	p. 25
2 Ultracold Quantum Gases: Experiments with Many-Body Systems in Controlled Environments	p. 27
3 Ultracold Quantum Gases: Key Experimental Techniques	p. 41
I.C Quantum Gases: Background Key Theoretical Notions	p. 61
4 Introduction to Theoretical Modelling	p. 63
Part II Ultracold Bosonic Gases: Theoretical Modelling	p. 85
Editorial Notes	p. 87
II.A Kinetic and Many-Body Approaches	p. 89
Editorial Notes	p. 91
5 A Dynamical Self-Consistent Finite-Temperature Kinetic Theory: The ZNG Scheme	p. 93
6 Extended Mean-Field Theory: Reversible and Irreversible Quantum Evolution of Trapped Gases	p. 107
7 Cumulant Dynamics of Strongly Interacting Ultracold Gases	p. 121
8 Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview	p. 133
9 Multiconfigurational Time-Dependent Hartree Methods for Bosonic Systems: Theory and Applications	p. 147
II.B Classical-Field, Stochastic and Field-Theoretic Approaches	p. 159
Editorial Notes	p. 161
10 C-Field Methods for Non-Equilibrium Bose Gases	p. 163
11 The Stochastic Gross-Pitaevskii Methodology	p. 177
12 A Classical-Field Approach for Bose Gases	p. 191
13 The Truncated Wigner Method for Bose Gases	p. 203
14 Number-Conserving Stochastic Approaches for Equilibrium and Time-Dependent Bose Gases	p. 215
15 Quantum Dynamics on Extended Phase Space: The Positive-P Representation	p. 229
16 Functional-Integral Approach to Non-Equilibrium Quantum Many-Body Dynamics	p. 241
II.C Comparison of Common Theories	p. 257
Editorial Notes	p. 259
17 Selected Theoretical Comparisons for Bosons	p. 261
18 The Beliaev Broken-Symmetry Description of Superfluidity vs the Classical-Field Approach	p. 287
19 Reconciling the Classical-Field Method with the Beliaev Broken-Symmetry Approach	p. 299
Part III Overview of Related Quantum-Degenerate Systems	p. 313
Editorial Notes	p. 315
III.A Nearly Integrable One-Dimensional Systems	p. 317
20 Dynamics and Thermalisation in Correlated One-Dimensional Lattice Systems	p. 319
III.B Optical Lattice Geometries	p. 331
21 Introduction to One-Dimensional Many-Body Calculations with the Time-Evolving Block Decimation Algorithm	p. 333
22 Finite-Temperature Matrix Product State Algorithms and Applications	p. 345
23 Bosonic Dynamical Mean-Field Theory	p. 355
III.C Liquid Helium	p. 367
24 From Classical Fields to the Two-Fluid Model of Superfluidity: Emergent Kinetics and Local Gauge Transformations	p. 369
III.D Degenerate Fermi Gases	p. 385
25 Introduction to Theoretical Modelling of Fermi Gases	p. 387
26 Time-Dependent Superfluid Local-Density Approximation	p. 397
27 Phase-Space Methods for Fermions	p. 407
IIIE Exciton/Polariton Condensation	p. 417
28 Dipole Excitons in Coupled Quantum Wells: Towards an Equilibrium Exciton Condensate	p. 419
29 Non-Equilibrium Bose-Einstein Condensates of Exciton-Polaritons	p. 433
30 Non-Equilibrium Bose-Einstein Condensation in a Dissipative Environment	p. 447
References	p. 461
Author Index	p. 539
Subject Index	p. 541

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Table of Contents