Time-dependent mode coupling and generation of two-mode squeezed states

Zhang, Xue, Zheng Zheng +2 more

Chi‐Fai Lo

Xue Zhang, Zheng Tai-Yu, Zheng Li

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.

R. F. Bishop, Apostol Vourdas

Jiangfan Li, Huang Chun-Jia, Jiang Zong-Fu +2 more

A closed solution of the Schrdinger equation for a timedependent two coupled harmonic oscillators including a driving part and a twomode coupled part is derived by adopting the LewisRiesenfeld invariant theory and properly chosen Hermitian invariant operators. The evolution operator of the system and the condition for generating twomode squeezed states are obtained. It is shown that the quantum fluctuation of squeezed states of the system is independent of the driving part, but depends on the initial states of the system.

Hong-Yi Fan, Nian-Quan Jiang, Lu Hai-Liang