Imaginary Phases in Two-Level Model with Spontaneous Decay

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dc.creatorPinto, A. C. Aguiar
dc.creatorThomaz, M. T.
dc.date2002-07-08
dc.date2003-05-13
dc.date.accessioned2026-07-07T11:36:46Z
dc.date.available2026-07-07T11:36:46Z
dc.descriptionWe study a two-level model coupled to the electromagnetic vacuum and to an external classic electric field with fixed frequency. The amplitude of the external electric field is supposed to vary very slow in time. Garrison and Wright [{\it Phys. Lett.} {\bf A128} (1988) 177] used the non-hermitian Hamiltonian approach to study the adiabatic limit of this model and obtained that the probability of this two-level system to be in its upper level has an imaginary geometric phase. Using the master equation for describing the time evolution of the two-level system we obtain that the imaginary phase due to dissipative effects is time dependent, in opposition to Garrison and Wright result. The present results show that the non-hermitian hamiltonian method should not be used to discuss the nature of the imaginary phases in open systems.
dc.description11 pages, new version, to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0207038
dc.identifierhttp://arxiv.org/abs/quant-ph/0207038
dc.identifierJ.Phys.A36:7461-7467,2003
dc.identifierdoi:10.1088/0305-4470/36/26/316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199036
dc.subjectQuantum Physics
dc.titleImaginary Phases in Two-Level Model with Spontaneous Decay
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