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Langevin equation of collective modes of Bose-Einstein condensates in traps

Robert Graham
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Abstract

A quantum Langevin equation for the amplitudes of the collective modes in Bose-Einstein condensate is derived. The collective modes are coupled to a thermal reservoir of quasi-particles, whose elimination leads to the quantum Langevin equation. The dissipation rates are determined via the correlation function of the fluctuating force and are evaluated in the local-density approximation for the spectrum of quasi-particles and the Thomas-Fermi approximation for the condensate. I take great pleasure in dedicating this paper to Gregoire Nicolis on the occasion of his sixtieth birthday.

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Robert Graham. 2000-07-06. Langevin equation of collective modes of Bose-Einstein condensates in traps. https://doi.org/10.1023/a%3A1026453803436

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