Simulations of Bose Fields at Finite Temperature
Abstract
We introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially condensed homogeneous Bose gas, and find that this equation will evolve randomized initial wave functions to equilibrium. We compare our numerical data to the predictions of a gapless, second order theory of Bose-Einstein condensation [S. A. Morgan, J. Phys. B 33, 3847 (2000)], and find that we can determine a temperature when the theory is valid. As the Gross-Pitaevskii equation is nonperturbative, we expect that it can describe the correct thermal behavior of a Bose gas as long as all relevant modes are highly occupied. Our method could be applied to other boson fields.
- Publication:
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Physical Review Letters
- Pub Date:
- October 2001
- DOI:
- arXiv:
- arXiv:cond-mat/0011431
- Bibcode:
- 2001PhRvL..87p0402D
- Keywords:
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- Condensed Matter
- E-Print:
- Four pages, four figures, revtex. Updated to version in PRL. Note that the numerical data has changed since v1, however the conclusions remain the same