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Journal of Modern Optics

Third-order Nonlinear Dissipative Oscillator with an Initial Squeezed State

Vlasta Peřinová, A. Lukš

Published Sep 1, 1988• 49 citations
Publisher

Abstract

The statistical properties of radiation passing through a nonlinear medium modelled as a third-order nonlinear dissipative oscillator interacting with squeezed light have been investigated. Whereas the photon statistics, being insensitive to the nonlinearity, are determined exactly, an approximative approach has been adopted in the description of squeezing in order to involve fluctuations. As a consequence of the general treatment, new results for a damped linear oscillator with initial squeezed light are provided.

DOI
10.1080/09500348814551631

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The statistical properties of radiation passing through a nonlinear medium modelled as a third-order nonlinear dissipative oscillator interacting with squeezed light have been investigated. Whereas the photon statistics, being insensitive to the nonlinearity, are determined exactly, an approximative approach has been adopted in the description of squeezing in order to involve fluctuations. As a consequence of the general treatment, new results for a damped linear oscillator with initial squeezed light are provided.
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Recently the statistical properties of the third-order nonlinear dissipative oscillator have been determined exactly to an approximation respecting non-zero reservoir temperatures for a most general input state.1 Later the assumption of zero-'temperature heat bath has been removed, but the initial coherent state has been considered. In this coinmunication we present the statistical characteristics of the third-order non linear dissipative oscillator responsive to the requirements of quantum optics and established without any restrictions on the initial state.