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

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.

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

References in corpus (3)

• Collisionless dynamics of dilute Bose gases: Role of quantum and thermal fluctuations
• Shifts and widths of collective excitations in trapped Bose gases by the dielectric formalism
• Temperature-induced resonances and Landau damping of collective modes in Bose-Einstein condensed gases in spherical traps

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• Quantum Decoherence of Phonons in Bose-Einstein Condensates
• Photonic tuning of quasi-particle decay in a superfluid
• Measurements and analysis of response function of cold atoms in optical molasses
• Limitations of squeezing due to collisional decoherence in Bose-Einstein condensates
• Nonequilibrium polariton dynamics in a Bose-Einstein condensate coupled to an optical cavity