Genuine phase diffusion of a Bose-Einstein condensate in the microcanonical ensemble: A classical field study

Details Genuine phase diffusion of a Bose-Einstein condensate in the microcanonical ensemble: A classical field study Genuine phase diffusion of a Bose-Einstein condensate in the microcanonical ensemble: A classical field study

2008-08-11

arxiv.org/abs/0808.1501v1

Physical Review A: Atomic, Molecular and Optical Physics 78 (2008) 053615

Physics

Condensed Matter

Other Condensed Matter

9 pages, 6 figures

Scientific paper

10.1103/PhysRevA.78.053615

Within the classical field model, we find that the phase of a Bose-Einstein condensate undergoes a true diffusive motion in the microcanonical ensemble, the variance of the condensate phase change between time zero and time $t$ growing linearly in $t$. The phase diffusion coefficient obeys a simple scaling law in the double thermodynamic and Bogoliubov limit. We construct an approximate calculation of the diffusion coefficient, in fair agreement with the numerical results over the considered temperature range, and we extend this approximate calculation to the quantum field.

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