Quantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium Billiards

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dc.creatorZhang, Chuanwei
dc.creatorLiu, Jie
dc.creatorRaizen, Mark G.
dc.creatorNiu, Qian
dc.date2004-04-19
dc.date2004-06-18
dc.date.accessioned2026-07-07T02:57:41Z
dc.date.available2026-07-07T02:57:41Z
dc.descriptionWe investigate the possibility of quantum (or wave) chaos for the Bogoliubov excitations of a Bose-Einstein condensate in billiards. Because of the mean field interaction in the condensate, the Bogoliubov excitations are very different from the single particle excitations in a non-interacting system. Nevertheless, we predict that the statistical distribution of level spacings is unchanged by mapping the non-Hermitian Bogoliubov operator to a real symmetric matrix. We numerically test our prediction by using a phase shift method for calculating the excitation energies.
dc.descriptionminor change, 4 pages, 4 figures, to appear in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0404420
dc.identifierhttp://arxiv.org/abs/cond-mat/0404420
dc.identifierPhys. Rev. Lett. 93, 074101 (2004)
dc.identifierdoi:10.1103/PhysRevLett.93.074101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23765
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleQuantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium Billiards
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