Open AccessThe evolution and two-mode squeezed states of the time-dependent two coupled harmonic oscillators
Author(s) -
Jiangfan Li,
Huang Chun-Jia,
Zongfu Jiang,
Huang Zu-hong
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.522
Subject(s) - physics , harmonic oscillator , invariant (physics) , time evolution , operator (biology) , squeezed coherent state , quantum mechanics , mode (computer interface) , hermitian matrix , harmonic , quantum , coherent states , classical mechanics , computer science , biochemistry , chemistry , repressor , transcription factor , gene , operating system
A closed solution of the Schrdinger equation for a timedependent two coupled harmonic oscillators including a driving part and a twomode coupled part is derived by adopting the LewisRiesenfeld invariant theory and properly chosen Hermitian invariant operators. The evolution operator of the system and the condition for generating twomode 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.