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Evolution and Generation of Dynamics of Two-Mode Squeezed States of Time-Dependent Coupled Boson System
Authors:ZHANG Xue  ZHENG Tai-Yu  ZHENG Li
Institution:1. Institute of Theoretical Physics, Northeast Normal University, Changchun 130000, China ;2. College of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China
Abstract:The system of the Hamiltonian involving a driving part, a single mode part, and a two-mode squeezed one and a two-mode coupled one is discussed using the Lewis-Riesenfeld invariant theory. The time evolution operator is obtained. When the initial state is a coherent state, the quantum fluctuation of the system is calculated, and it is dependent on the squeezed part and the two-mode coupled part, but not dependent on the driving one.
Keywords:two-mode squeezed states  Lewis-Riesenfeld invariant  theory  time evolution operator                                                                                                                    
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