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International Journal of Theoretical Physics

Interference in Phase Space of Squeezed States for the Time-Dependent Hamiltonian System

Jeong Ryeol Choi

Published Jan 1, 2006• 6 citations
Publisher
DOI
10.1007/s10773-005-9016-9

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The design of squeezing by a time-dependent harmonic oscillator is considered. The predetermined general time-dependent squeezing transformations are taken as the starting point from which the time evolution operator U(t,0) and then the corresponding time-dependent Hamiltonian are derived. The technique of integration within an ordered product of operators and the coherent-state representation are used in the intermediate derivations, where U(t,0) is obtained as an operator image of the classical symplectic transformation in phase space by a phase-space integral over coherent states.