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Physical Review A

Time evolution of an anharmonic oscillator in an initial Holstein-Primakoff SU(1,1) coherent state

Vladimír Bužek

Published May 1, 1989• 15 citations
Publisher

Abstract

We have studied the interaction of the squeezed light with the nonabsorbing nonlinear medium in the framework of the model of an anharmonic oscillator initially in a Holstein-Primakoff SU(1,1) coherent state. We have shown that the initial squeezing reappears periodically. Furthermore, due to the interaction with the nonlinear medium, the squeezing can be enhanced.

DOI
10.1103/physreva.39.5432

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We have studied the interaction of the squeezed light with the nonabsorbing nonlinear medium in the framework of the model of an anharmonic oscillator initially in a Holstein-Primakoff SU(1,1) coherent state. We have shown that the initial squeezing reappears periodically. Furthermore, due to the interaction with the nonlinear medium, the squeezing can be enhanced.
In this paper the squeezing properties of the two-mode radiation field interacting with a nonliner nonabsorbing Kerr-like medium modelled as a two-mode anharmonic oscillator are studied. Time evolution of the variances of the radiation field initially prepared in the two-mode coherent state as well as the two-mode squeezed vacuum state are analyzed. In particular, it is shown that in the case when the radiation field is initially prepared in the two-mode coherent state the interaction between two modes leads to a high degree of squeezing.