Photon states associated with Holstein-Primakoff realization of SU(1,1) Lie algebra

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dc.creatorBrif, C.
dc.date1995-04-11
dc.date.accessioned2026-07-07T12:04:20Z
dc.date.available2026-07-07T12:04:20Z
dc.descriptionStatistical and phase properties and number-phase uncertainty relations are systematically investigated for photon states associated with the Holstein-Primakoff realization of the SU(1,1) Lie algebra. Perelomov's SU(1,1) coherent states and the eigenstates of the SU(1,1) lowering generator (the Barut-Girardello states) are discussed. A recently developed formalism, based on the antinormal ordering of exponential phase operators, is used for studying phase properties and number-phase uncertainty relations. This study shows essential differences between properties of the Barut-Girardello states and the SU(1,1) coherent states. The philophase states, defined as states with simple phase-state representations, relate the quantum description of the optical phase to the properties of the SU(1,1) Lie group. A modified Holstein-Primakoff realization is derived, and eigenstates of the corresponding lowering generator are discussed. These states are shown to contract, in a proper limit, to the familiar Glauber coherent states.
dc.description32 pages, no figures, REVTeX with amssymb, to be published in Quantum and Semiclassical Optics
dc.identifierhttps://arxiv.org/abs/quant-ph/9504008
dc.identifierhttp://arxiv.org/abs/quant-ph/9504008
dc.identifierQuant.Semiclass.Opt.7:803-834,1995
dc.identifierdoi:10.1088/1355-5111/7/5/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208103
dc.subjectQuantum Physics
dc.titlePhoton states associated with Holstein-Primakoff realization of SU(1,1) Lie algebra
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