On the criterion for Bose-Einstein condensation for particles in traps

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dc.creatorPethick, C. J.
dc.creatorPitaevskii, L. P.
dc.date2000-04-12
dc.date.accessioned2026-07-07T12:37:38Z
dc.date.available2026-07-07T12:37:38Z
dc.descriptionWe consider the criterion for Bose condensation for particles in a harmonic trap. For a fixed angular momentum, the lowest energy state for a cloud of bosons with attractive interactions is the ground state of the cloud with all the angular momentum in the center-of-mass motion, and the one-particle reduced density matrix generally does not have a single large eigenvalue, but a number of them, suggesting that the state is an example of a fragmented condensate (Wilkin, Gunn, and Smith, Phys. Rev. Lett. 80, 2265 (1998)). We show that a convenient way to describe correlations in the system is by defining an internal one-particle reduced density matrix, in which the center-of-mass motion is eliminated, and that this has a single eigenvalue equal to the number of particles for the problem considered here. Our considerations indicate that care is necessary in formulating a criterion for Bose-Einstein condensation.
dc.description2 pages, RevTex, Submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0004187
dc.identifierhttp://arxiv.org/abs/cond-mat/0004187
dc.identifierPhys.Rev.A62:033609,2000
dc.identifierdoi:10.1103/PhysRevA.62.033609
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218508
dc.subjectCondensed Matter
dc.titleOn the criterion for Bose-Einstein condensation for particles in traps
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