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

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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9 pages, Revtex, to appear in J. Stat. Phys

Scientific paper

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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