{ "id": "cond-mat/9709323", "version": "v1", "published": "1997-09-29T16:38:40.000Z", "updated": "1997-09-29T16:38:40.000Z", "title": "Linear density response in the random phase approximation for confined Bose vapours at finite temperature", "authors": [ "A. Minguzzi", "M. P. Tosi" ], "comment": "14 pages. To appear on J. Phys. : Condens. Matter", "journal": "J. Phys: Condens. Matter vol. 9, p. 10211 (1997)", "doi": "10.1088/0953-8984/9/46/019", "categories": [ "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "1997-09-29T16:38:40.000Z" } ], "analyses": { "keywords": [ "random phase approximation", "linear density response", "confined bose vapours", "finite temperature", "temperature-dependent hartree-fock-bogolubov-popov approximation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }