dorsal/arxiv
View SchemaPhoton states associated with Holstein-Primakoff realization of SU(1,1) Lie algebra
| Authors | C. Brif |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9504008 |
| URL | https://arxiv.org/abs/quant-ph/9504008 |
| DOI | 10.1088/1355-5111/7/5/004 |
| Journal | Quant.Semiclass.Opt.7:803-834,1995 |
Abstract
Statistical 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.
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"abstract": "Statistical and phase properties and number-phase uncertainty relations are\nsystematically investigated for photon states associated with the\nHolstein-Primakoff realization of the SU(1,1) Lie algebra. Perelomov\u0027s SU(1,1)\ncoherent states and the eigenstates of the SU(1,1) lowering generator (the\nBarut-Girardello states) are discussed. A recently developed formalism, based\non the antinormal ordering of exponential phase operators, is used for studying\nphase properties and number-phase uncertainty relations. This study shows\nessential differences between properties of the Barut-Girardello states and the\nSU(1,1) coherent states. The philophase states, defined as states with simple\nphase-state representations, relate the quantum description of the optical\nphase to the properties of the SU(1,1) Lie group. A modified Holstein-Primakoff\nrealization is derived, and eigenstates of the corresponding lowering generator\nare discussed. These states are shown to contract, in a proper limit, to the\nfamiliar Glauber coherent states.",
"arxiv_id": "quant-ph/9504008",
"authors": [
"C. Brif"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1355-5111/7/5/004",
"journal_ref": "Quant.Semiclass.Opt.7:803-834,1995",
"title": "Photon states associated with Holstein-Primakoff realization of SU(1,1) Lie algebra",
"url": "https://arxiv.org/abs/quant-ph/9504008"
},
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