Evolution and Generation of Dynamics of Two-Mode Squeezed States of Time-Dependent Coupled Boson System

Xue Zhang, Zheng Tai-Yu, Zheng Li · Communications in Theoretical Physics · 2008

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.

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