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Quantum and Semiclassical Optics Journal of the European Optical Society Part B

Time evolution of an anharmonic oscillator interacting with a squeezed bath

Giacomo Mauro D’Ariano, Mauro Fortunato, P. Tombesi

Published Dec 1, 1995• 3 citations
Publisher

Abstract

The evolution of a single mode of the electromagnetic field interacting with a squeezed bath in a Kerr medium is considered. The solution of the corresponding master equation is given numerically. It is argued that the creation of a superposition state (Schrodinger`s cat) is better achieved in the presence of a squeezed reservoir than of a thermal one.

DOI
10.1088/1355-5111/7/6/002

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The evolution of a single mode of the electromagnetic field interacting with a squeezed bath in a Kerr medium is considered. The solution of the corresponding master equation is given numerically. It is argued that the creation of a superposition state (Schrodinger`s cat) is better achieved in the presence of a squeezed reservoir than of a thermal one.
In this work we analyze the temporal dynamics of a system comprising an optical cavity filled with a nonlinear Kerr medium, whose frequency is allowed to change during time evolution. By exactly solving the corresponding time-dependent anharmonic-oscillator Hamiltonian, we demonstrate that squeezed coherent-state superpositions can be generated within the optical cavity. Moreover, we show that the squeezing degree of the produced states may be tuned by properly controlling the frequency shift of the cavity, a feature that might lead to interesting studies in the field of quantum state engineering.
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.