The time evolution and the quantum fluctuation for two forced quantum oscillators with mixing of two modes

Li, Jiangfan; Xiao, Fuliang; Jiang, Zongfu; Jia-Yuan, Fang

doi:10.1088/0305-4470/38/42/009

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2008

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“…In addition, simplifying the system in this paper, we can get the classical generalized force driving harmonic oscillator, [8] degenerate parametric down-conversion, [9] degenerate parametric down-conversion with the driving force, [10] non-degenerate parametric down-conversion, [11] generalized parametric frequency up-conversion of classical pumping, [18] and the results are in argument with others.…”

Section: Discussionmentioning

confidence: 99%

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

Zhang

Tao

Zheng

2008

Commun. Theor. Phys.

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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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