Coherent States of a Harmonic Oscillator in a Finite-dimensional Hilbert Space and Their Squeezing Properties |
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| Authors: | Le-Man Kuang Fa-Bo Wang Yan-Guo Zhou |
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| Affiliation: | 1. Theoretical Physics Division , Nankai Institute of Mathematics , Tianjin , 300071 , PR China;2. Department of Physics , Institute of Physics, Hunan Normal University , Hunan , 410006 , PR China;3. Department of Physics , Institute of Physics, Hunan Normal University , Hunan , 410006 , PR China |
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| Abstract: | Abstract New coherent states of a harmonic oscillator in a finite-dimensional Fock space are introduced. Some properties of these coherent states are discussed. The second-order squeezing of these coherent states with respect to the quadrature operators is studied in detail. In particular, for a two-state system the arbitrary higher-order squeezing of these states is investigated. It is shown that these coherent states exhibit much richer squeezing properties than the coherent states of a usual harmonic oscillator in an infinite-dimensional Fock space. It is found that these coherent states have not only second-order squeezing but also higher-order squeezing with respect to the quadrature operators of the field under consideration. |
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