Simulations of Bose fields at finite temperature

Details Simulations of Bose fields at finite temperature Simulations of Bose fields at finite temperature

2000-11-27

arxiv.org/abs/cond-mat/0011431v3

Phys. Rev. Lett. 87, 160402 (2001)

Physics

Condensed Matter

Four pages, four figures, revtex. Updated to version in PRL. Note that the numerical data has changed since v1, however the co

Scientific paper

10.1103/PhysRevLett.87.160402

We introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially condensed homogeneous Bose gas, and find that this equation will evolve randomised 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 {\bf 33}, 3847 (2000)], and find that we can determine a temperature when the theory is valid. As the Gross-Pitaevskii equation is non-perturbative, we expect that it can describe the correct thermal behaviour of a Bose gas as long as all relevant modes are highly occupied. Our method could be applied to other boson fields.

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