Linear density response in the random phase approximation for confined Bose vapours at finite temperature

Details Linear density response in the random phase approximation for confined Bose vapours at finite temperature Linear density response in the random phase approximation for confined Bose vapours at finite temperature

1997-09-29

arxiv.org/abs/cond-mat/9709323v1

J. Phys: Condens. Matter vol. 9, p. 10211 (1997)

Physics

Condensed Matter

Statistical Mechanics

14 pages. To appear on J. Phys. : Condens. Matter

Scientific paper

10.1088/0953-8984/9/46/019

A linear response framework is set up for the evaluation of collective excitations in a confined vapour of interacting Bose atoms at finite temperature. Focusing on the currently relevant case of contact interactions between the atoms, the theory is developed within a random phase approximation with exchange. This approach is naturally introduced in a two-fluid description by expressing the density response of both the condensate and the non-condensate in terms of the response of a Hartree-Fock reference gas to the selfconsistent Hartree-Fock potentials. Such an approximate account of correlations (i) preserves an interplay between the condensate and the non-condensate through off-diagonal components of the response, which instead vanish in the Hartree-Fock-Bogolubov approximation; and (ii) yields a common resonant structure for the four partial response functions. The theory reduces to the temperature-dependent Hartree-Fock-Bogolubov-Popov approximation for the fluctuations of the condensate when its coupling with the density fluctuations of the non-condensate is neglected. Analytic results are presented which are amenable to numerical calculations and to inclusion of damping rates.

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