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Phys. Rev. A 54, R4633–R4636 (1996)

Condensate fraction and critical temperature of a trapped interacting Bose gas

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S. Giorgini, L. P. Pitaevskii, and S. Stringari
Dipartimento di Fisica, Università di Trento, and Istituto Nazionale di Fisica della Materia, I-38050 Povo, Italy
Department of Physics, Technion, 32000 Haifa, Israel Kapitza Institute for Physical Problems, 117454 Moscow, Russia

Received 16 July 1996; published in the issue dated December 1996

By using a mean-field approach, based on the Popov approximation, we calculate the temperature dependence of the condensate fraction of an interacting Bose gas of N atoms confined in an anisotropic harmonic trap. For systems interacting with repulsive forces we find a significant decrease of the condensate fraction and of the critical temperature with respect to the predictions of the noninteracting model with the same value of N. An analytic result for the shift of the critical temperature holding to first order in the scattering length is also derived. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.54.R4633
DOI:
10.1103/PhysRevA.54.R4633
PACS:
03.75.Fi, 02.70.Lq, 67.40.Db