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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Graham, R. Langevin Equation of Collective Modes of Bose–Einstein Condensates in Traps. Journal of Statistical Physics 101, 243–257 (2000). https://doi.org/10.1023/A:1026453803436
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DOI: https://doi.org/10.1023/A:1026453803436