Berry's Phase in the Presence of a Non-Adiabatic Environment

dc.creatorGaitan, Frank
dc.date1998-09-04
dc.date.accessioned2026-07-07T06:15:38Z
dc.date.available2026-07-07T06:15:38Z
dc.descriptionWe consider a two-level system coupled to an environment that evolves non-adiabatically. We present a non-perturbative method for determining the persistence amplitude whose phase contains all the corrections to Berry's phase produced by the non-adiabatic motion of the environment. Specifically, it includes the effects of transitions between the two energy levels to all orders in the non-adiabatic coupling. The problem of determining all non-adiabatic corrections is reduced to solving an ordinary differential equation to which numerical methods should provide solutions in a variety of situations. We apply our method to a particular example that can be realized as a magnetic resonance experiment, thus raising the possibility of testing our results in the lab.
dc.description21 pages, 1 Postscript figure, submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/9809008
dc.identifierhttp://arxiv.org/abs/quant-ph/9809008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93811
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.titleBerry's Phase in the Presence of a Non-Adiabatic Environment
dc.typetext

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