Damping in dilute Bose gases: a mean-field approach

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Abstract

Damping in a dilute Bose gas is investigated using a mean-field approximation which describes the coupled oscillations of condensate and non-condensate atoms in the collisionless regime. Explicit results for both Landau and Beliaev damping rates are given for non-uniform gases. In the case of uniform systems we obtain results for the damping of phonons both at zero and finite temperature. The isothermal compressibility of a uniform gas is also discussed.

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Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties

T D Lee, Kerson Huang, C. N. Yang (1957)

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Microscopic theory of superfluid helium

P.C Martin, P.C. Hohenberg (1965)

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Collective excitations of a trapped Bose-condensed gas

S Stringari (1996)

By taking the hydrodynamic limit we derive, at \(T=0\), an explicit solution of the linearized time dependent Gross-Pitaevskii equation for the order parameter of a Bose gas confined in a harmonic trap and interacting with repulsive forces. The dispersion law \(\omega=\omega_0(2n^2+2n\ell+3n+\ell)^{1/2}\) for the elementary excitations is obtained, to be compared with the prediction \(\omega=\omega_0(2n+\ell)\) of the noninteracting harmonic oscillator model. Here \(n\) is the number of radial nodes and \(\ell\) is the orbital angular momentum. The effects of the kinetic energy pressure, neglected in the hydrodynamic approximation, are estimated using a sum rule approach. Results are also presented for deformed traps and attractive forces.

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Journal

Publication date Created: 24 September 1997

Article

DOI: 10.1103/PhysRevA.57.2949

ArXiV ID: cond-mat/9709259

SO-VID: ab4e1eb7-79cf-4cc2-b897-ba3fb0b6333a

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Comments 24 pages, 1 figure, RevTex, submitted to Phys. Rev. A

Categories cond-mat

ScienceOpen disciplines: Condensed matter

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ScienceOpen disciplines: Condensed matter

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