Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques

Blakie, P. B., Bradley, A. S., Davis, M. J., Ballagh, R. J. and Gardiner, C. W. (2008) Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques. Advances In Physics, 57 5: 363-455. doi:10.1080/00018730802564254


Author Blakie, P. B.
Bradley, A. S.
Davis, M. J.
Ballagh, R. J.
Gardiner, C. W.
Title Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
Journal name Advances In Physics   Check publisher's open access policy
ISSN 0001-8732
Publication date 2008-09-30
Year available 2008
Sub-type Critical review of research, literature review, critical commentary
DOI 10.1080/00018730802564254
Open Access Status
Volume 57
Issue 5
Start page 363
End page 455
Total pages 93
Editor Sherrington, D.
Place of publication United Kingdom
Publisher Taylor and Francis Ltd.
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
020601 Degenerate Quantum Gases and Atom Optics
Abstract We review phase-space techniques based on the Wigner representation that provide an approximate description of dilute ultra-cold Bose gases. In this approach the quantum field evolution can be represented using equations of motion of a similar form to the Gross-Pitaevskii equation but with stochastic modifications that include quantum effects in a controlled degree of approximation. These techniques provide a practical quantitative description of both equilibrium and dynamical properties of Bose gas systems. We develop versions of the formalism appropriate at zero temperature, where quantum fluctuations can be important, and at finite temperature where thermal fluctuations dominate. The numerical techniques necessary for implementing the formalism are discussed in detail, together with methods for extracting observables of interest. Numerous applications to a wide range of phenomena are presented.
Keyword Physics, Condensed Matter
Physics
PHYSICS, CONDENSED MATTER
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
 
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Created: Tue, 14 Apr 2009, 23:33:01 EST by Stephanie Golding on behalf of ARC Centre of Excellence for Quantum-Atom Optics