Quantum Gases: Finite Temperature And Non-Equilibrium Dynamics, 1st Edition

  • Published By: Imperial College Press
  • ISBN-10: 1848168128
  • ISBN-13: 9781848168121
  • DDC: 530.43
  • Grade Level Range: College Freshman - College Senior
  • 580 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
Participants of FINESS 2009 (Durham).
Common Symbols/Expressions and their Meanings.
1: Introductory Material.
2: Editorial Notes.
3: Quantum Gases: The Background.
4: Quantum Gases: Setting the Scene.
5: Quantum Gases: Experimental Considerations.
6: Ultracold Quantum Gases: Experiments with Many-Body Systems in Controlled Environments.
7: Ultracold Quantum Gases: Key Experimental Techniques.
8: Quantum Gases: Background Key Theoretical Notions.
9: Introduction to Theoretical Modelling.
10: Ultracold Bosonic Gases: Theoretical Modelling.
11: Editorial Notes.
12: Kinetic and Many-Body Approaches.
13: Editorial Notes.
14: A Dynamical Self-Consistent Finite-Temperature Kinetic Theory: The ZNG Scheme.
15: Extended Mean-Field Theory: Reversible and Irreversible Quantum Evolution of Trapped Gases.
16: Cumulant Dynamics of Strongly Interacting Ultracold Gases.
17: Number-Conserving Approaches for Atomic Bose–Einstein Condensates: An Overview.
18: Multiconfigurational Time-Dependent Hartree Methods for Bosonic Systems: Theory and Applications.
19: Classical-Field, Stochastic and Field-Theoretic Approaches.
20: Editorial Notes.
21: C-Field Methods for Non-Equilibrium Bose Gases.
22: The Stochastic Gross–Pitaevskii Methodology.
23: A Classical-Field Approach for Bose Gases.
24: The Truncated Wigner Method for Bose Gases.
25: Number-Conserving Stochastic Approaches for Equilibrium and Time-Dependent Bose Gases.
26: Quantum Dynamics on Extended Phase Space: The Positive-P Representation.
27: Functional-Integral Approach to Non-Equilibrium Quantum Many-Body Dynamics.
28: Comparison of Common Theories.
29: Editorial Notes.
30: Selected Theoretical Comparisons for Bosons.
31: The Beliaev Broken-Symmetry Description of Superfluidity vs the Classical-Field Approach.
32: Reconciling the Classical-Field Method with the Beliaev Broken-Symmetry Approach.
33: Overview of Related Quantum-Degenerate Systems.
34: Editorial Notes.
35: Nearly Integrable One-Dimensional Systems.
36: Dynamics and Thermalisation in Correlated One-Dimensional Lattice Systems.
37: Optical Lattice Geometries.
38: Introduction to One-Dimensional Many-Body Calculations with the Time-Evolving Block Decimation Algorithm.
39: Finite-Temperature Matrix Product State Algorithms and Applications.
40: Bosonic Dynamical Mean-Field Theory.
41: Liquid Helium.
42: From Classical Fields to the Two-Fluid Model of Superfluidity: Emergent Kinetics and Local Gauge Transformations.
43: Degenerate Fermi Gases.
44: Introduction to Theoretical Modelling of Fermi Gases.
45: Time-Dependent Superfluid Local-Density Approximation.
46: Phase-Space Methods for Fermions.
47: Exciton/Polariton Condensation.
48: Dipole Excitons in Coupled Quantum Wells: Towards an Equilibrium Exciton Condensate.
49: Non-Equilibrium Bose–Einstein Condensates of Exciton–Polaritons.
50: Non-Equilibrium Bose–Einstein Condensation in a Dissipative Environment.
Author Index.
Subject Index.