SU(1,1) Coherent States for the Generalized Two-Mode Time-Dependent Quadratic Hamiltonian System |
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Authors: | Jeong Ryeol Choi Kyu Hwang Yeon |
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Institution: | (1) Department of Physics and Advanced Materials Science, Sun Moon University, Asan, 336-708, Republic of Korea;(2) BK21 Physics Program and Department of Physics, College of Natural Science, Chungbuk National University, Cheongju, Chungbuk, 361-763, Republic of Korea |
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Abstract: | The SU(1,1) coherent states, so-called Barut-Girardello coherent state and Perelomov coherent state, for the generalized two-mode time-dependent quadratic Hamiltonian system are investigated through SU(1,1) Lie algebraic formulation. Two-mode Schrödinger cat states defined as an eigenstate of $\hat{K}_{-}^{2}The SU(1,1) coherent states, so-called Barut-Girardello coherent state and Perelomov coherent state, for the generalized two-mode
time-dependent quadratic Hamiltonian system are investigated through SU(1,1) Lie algebraic formulation. Two-mode Schr?dinger
cat states defined as an eigenstate of
are also studied. We applied our development to two-mode Caldirola-Kanai oscillator which is a typical example of the time-dependent
quadratic Hamiltonian system. The time evolution of the quadrature distribution for the probability density in the coherent
states are analyzed for the two-mode Caldirola-Kanai oscillator by plotting relevant figures. |
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Keywords: | SU(1 1) coherent states Time-dependent quadratic Hamiltonian system Caldirola-Kanai oscillator |
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