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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Squeezing and squared-amplitude squeezing in a two-atom Jaynes-Cummings model with cavity damping and atomic dissipation

Eugene K. Bashkirov, Русакова Маргарита Сергеевна

Published Feb 8, 2007• 0 citations
Publisher

Abstract

In this work we considered temporal behavior of squeezing and amplitude-squared squeezing for a two two-level atoms in a finite-Q cavity with atom dissipation. The analytic expressions for squeezing parameters are obtained on the basis of master equation solution for coherent and squeezed input. Squeezing generation conditions are considered for various dissipation parameters values and coherent and squeezed initial input.

DOI
10.1117/12.699315

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In this work we considered temporal behavior of squeezing and amplitude-squared squeezing for a two two-level atoms in a finite-Q cavity with atom dissipation. The analytic expressions for squeezing parameters are obtained on the basis of master equation solution for coherent and squeezed input. Squeezing generation conditions are considered for various dissipation parameters values and coherent and squeezed initial input.
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Amplitude-squared squeezing is investigated for the two-photon Jaynes-Cummings model with the field initially in a squeezed vacuum or a more general squeezed state. For small values of the coherence parameter and large values of the squeeze parameter, the amplitude-squared variances show threefold oscillatory behavior on the long time scale. It is found that a ground-state atom (as against an excited one) leads to considerable enhancement of the input amplitude-squared squeezing. The behavior of photon number squared and its relationship to the amplitude-squared squeezing is commented upon.
The statistical and fluctuational properties of an electromagnetic field in a nonideal cavity are studied with the help of the collective two-atom Jaynes-Cummings model taking into account losses of photons and spontaneous radiation of atoms into bath modes. For the coherent state of the field and excited initial state of atoms, the general analytical expressions for the second-order field correlation function, the second-order squeezing parameters, and the squared field amplitude are obtained by solving the master equation for the density matrix. The statistics and the degree of squeezing of the cavity field mode are studied as functions of the initial field intensity and of the coefficients of the energy dissipation of the system. It is shown that, for the two-atom dissipative model, compared to the single-atom model, the type of field statistics can be changed and the maximal degree of short-term squeezing can be increased.