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Geometric phases and the Rabi Hamiltonian

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dc.contributor.author Calderon, J es_PE
dc.contributor.author De Zela, F es_PE
dc.date.accessioned 2024-05-30T23:13:38Z
dc.date.available 2024-05-30T23:13:38Z
dc.date.issued 2016
dc.description This work was partially financed by DGI-PUCP (Grant No. 2015-224). J.C. received financial support from CONCYTEC/FONDECYT (Peru).
dc.description.abstract We address Berry phases that have been predicted to appear when a two-level system interacts with a quantized field, including the vacuum state. The issue became controversial after it was argued that the appearance of such Berry phases is an artifact of the rotating-wave approximation (RWA). As is widely believed, whenever the RWA applies, one may replace the Rabi model of a two-level system interacting with a quantized field by the analytically solvable Jaynes-Cummings model. Conflicting predictions of these two models under conditions that validate the RWA would signal a serious inconsistency of this approximation. We show that this is not the case and that claims to the contrary are inconsistent with analytical results concerning the Rabi model. We provide also numerical evidence supporting our analytical approach. Furthermore, we argue that the appearance of Berry phases in the addressed cases does not depend on adiabatic conditions nor on any particular Hamiltonian, but on the underlying vector space. Thus, the appropriate framework is given by the kinematic approach to geometric phases, which contains Berry's phase as a special case.
dc.description.sponsorship Fondo Nacional de Desarrollo Científico y Tecnológico - Fondecyt
dc.identifier.doi https://doi.org/10.1103/PhysRevA.93.033823
dc.identifier.isi 371726700010
dc.identifier.uri https://hdl.handle.net/20.500.12390/1212
dc.language.iso eng
dc.publisher American Physical Society
dc.relation.ispartof Physical Review A
dc.rights info:eu-repo/semantics/openAccess
dc.subject RWA applies
dc.subject Jaynes-Cummings model es_PE
dc.subject Rabi model es_PE
dc.subject.ocde https://purl.org/pe-repo/ocde/ford#1.03.00
dc.title Geometric phases and the Rabi Hamiltonian
dc.type info:eu-repo/semantics/article
dspace.entity.type Publication
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