Professor Simon Gardiner s.a.gardiner@durham.ac.uk
Professor
A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas
Gardiner, S.A.; Morgan, S.A.
Authors
S.A. Morgan
Abstract
We describe a number-conserving approach to the dynamics of Bose-Einstein condensed dilute atomic gases. This builds upon the works of Gardiner [Phys. Rev. A 56, 1414 (1997)] and Castin and Dum [Phys. Rev. A 57, 3008 (1998)]. We consider what is effectively an expansion in powers of the ratio of noncondensate to condensate particle numbers, rather than inverse powers of the total number of particles. This requires the number of condensate particles to be a majority, but not necessarily almost equal to the total number of particles in the system. We argue that a second-order treatment of the relevant dynamical equations of motion is the minimum order necessary to provide consistent coupled condensate and noncondensate number dynamics for a finite total number of particles, and show that such a second-order treatment is provided by a suitably generalized Gross-Pitaevskii equation, coupled to the Castin-Dum number-conserving formulation of the Bogoliubov–de Gennes equations. The necessary equations of motion can be generated from an approximate third-order Hamiltonian, which effectively reduces to second order in the steady state. Such a treatment as described here is suitable for dynamics occurring at finite temperature, where there is a significant noncondensate fraction from the outset, or dynamics leading to dynamical instabilities, where depletion of the condensate can also lead to a significant noncondensate fraction, even if the noncondensate fraction is initially negligible.
Citation
Gardiner, S., & Morgan, S. (2007). A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas. Physical Review A, 75, https://doi.org/10.1103/physreva.75.043621
Journal Article Type | Article |
---|---|
Publication Date | Apr 1, 2007 |
Deposit Date | Apr 28, 2008 |
Publicly Available Date | Apr 28, 2008 |
Journal | Physical Review A |
Print ISSN | 1050-2947 |
Electronic ISSN | 1094-1622 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 75 |
DOI | https://doi.org/10.1103/physreva.75.043621 |
Public URL | https://durham-repository.worktribe.com/output/1549394 |
Files
Other material
(368 Kb)
PDF
You might also like
Quantum emission of light with densely packed driven dipoles
(2022)
Journal Article
Roadmap on Atomtronics: State of the art and perspective
(2021)
Journal Article
Collective effects in the photon statistics of thermal atomic ensembles
(2021)
Journal Article
Quantum and nonlinear effects in light transmitted through planar atomic arrays
(2020)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search