Adiabatic Theory of Nonlinear Evolution of Quantum States

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dc.creatorLiu, Jie
dc.creatorWu, Biao
dc.creatorNiu, Qian
dc.date2002-05-23
dc.date2002-08-02
dc.date.accessioned2026-07-07T06:04:14Z
dc.date.available2026-07-07T06:04:14Z
dc.descriptionWe present a general theory for adiabatic evolution of quantum states as governed by the nonlinear Schrodinger equation, and provide examples of applications with a nonlinear tunneling model for Bose-Einstein condensates. Our theory not only spells out conditions for adiabatic evolution of eigenstates, but also characterizes the motion of non-eigenstates which cannot be obtained from the former in the absence of the superposition principle. We find that in the adiabatic evolution of non-eigenstates, the Aharonov-Anandan phases play the role of classical canonical actions.
dc.descriptionsubstantial revision, 5 pages and 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0205152
dc.identifierhttp://arxiv.org/abs/quant-ph/0205152
dc.identifierPhys. Rev. Lett. 90 (2003) 170404
dc.identifierdoi:10.1103/PhysRevLett.90.170404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90226
dc.subjectQuantum Physics
dc.subjectSoft Condensed Matter
dc.titleAdiabatic Theory of Nonlinear Evolution of Quantum States
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