Commutability between Semiclassical Limit and Adiabatic Limit

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dc.creatorWu, Biao
dc.creatorLiu, Jie
dc.date2005-07-30
dc.date.accessioned2026-07-07T06:25:03Z
dc.date.available2026-07-07T06:25:03Z
dc.descriptionWe study the semiclassical limit and the adiabatic limit with a second-quantized two-mode model, which describes a many-boson interacting system. When its mean-field interaction is small, these two limits are commutable. However, when the interaction is strong and over a critical value, the two limits become incommutable. This change of commutability is associated with a topological change in the structure of the energy bands. These results reveal that nonlinear mean-field theories, such as Gross-Pitaevskii equations for Bose-Einstein condensates, can be invalid in the adiabatic limit.
dc.description5 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0508008
dc.identifierhttp://arxiv.org/abs/cond-mat/0508008
dc.identifierPhys. Rev. Lett. 96 (2006) 020405
dc.identifierdoi:10.1103/PhysRevLett.96.020405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96741
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleCommutability between Semiclassical Limit and Adiabatic Limit
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