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Photon states associated with Holstein-Primakoff realization of SU(1,1) Lie algebra | | C. Brif
; | | Date: |
11 Apr 1995 | | Journal: | Quantum Semiclass. Opt. 7 (1995) 803 | | Subject: | quant-ph | | Affiliation: | Technion | | 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. | | Source: | arXiv, quant-ph/9504008 | | Services: | Forum | Review | PDF | Favorites | |
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