C-Field Methods for Non-Equilibrium Bose Gases

Davis, Matthew J., Wright, Tod M., Blakie, P. Blair, Bradley, Ashton S., Ballagh, Rob J. and Gardiner, Crispin W. (2013). C-Field Methods for Non-Equilibrium Bose Gases. In Nick Proukakis, Simon Gardine, Matthew Davi and Marzena Szymańska (Ed.), Quantum gases: finite temperature and non-equilibrium dynamics (pp. 163-175) London, United Kingdom: Imperial College Press. doi:10.1142/9781848168121_0010

Author Davis, Matthew J.
Wright, Tod M.
Blakie, P. Blair
Bradley, Ashton S.
Ballagh, Rob J.
Gardiner, Crispin W.
Title of chapter C-Field Methods for Non-Equilibrium Bose Gases
Title of book Quantum gases: finite temperature and non-equilibrium dynamics
Place of Publication London, United Kingdom
Publisher Imperial College Press
Publication Year 2013
Sub-type Research book chapter (original research)
DOI 10.1142/9781848168121_0010
Open Access Status
Series Cold atoms
ISBN 9781848168107
ISSN 2045-9734
Editor Nick Proukakis
Simon Gardine
Matthew Davi
Marzena Szymańska
Volume number 1
Chapter number 10
Start page 163
End page 175
Total pages 13
Total chapters 38
Language eng
Abstract/Summary We review c-field methods for simulating the non-equilibrium dynamics of degenerate Bose gases beyond the mean-field Gross-Pitaevskii approximation. We describe three separate approaches that utilise similar numerical methods, but have distinct regimes of validity. Systems at finite temperature can be treated with either the closed-system projected Gross-Pitaevskii equation (PGPE), or the open-system stochastic projected Gross-Pitaevskii equation (SPGPE). These are both applicable in quantum degenerate regimes in which thermal fluctuations are significant. At low or zero temperature, the truncated Wigner projected Gross-Pitaevskii equation (TWPGPE) allows for the simulation of systems in which spontaneous collision processes seeded by quantum fluctuations are important. We describe the regimes of validity of each of these methods, and discuss their relationships to one another, and to other simulation techniques for the dynamics of Bose gases. The utility of the SPGPE formalism in modelling non-equilibrium Bose gases is illustrated by its application to the dynamics of spontaneous vortex formation in the growth of a Bose-Einstein condensate.
Q-Index Code B1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Book Chapter
Collection: School of Mathematics and Physics
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