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Journal of Jiangsu University of Science and Technology

Atomic and field squeezing effects in Jaynes-Cummings model with cavity dissipation

Zhang Xianhan

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The field squeezing and the atomic dipole squeezing of a two-level atom in a dissipative cavity initially in vacuum are investigated.By means of exact solution of the master equation,the matrix elements of the density operator of the compound atom-field system are obtained.It is found that the cavity dissipation has an obvious influence on the atomic squeezing and the field squeezing under the resonant atom-field interaction.But the effects of the cavity dissipation on both squeezing will decrease under the off-resonance interaction condition.

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The field squeezing and the atomic dipole squeezing of a two-level atom in a dissipative cavity initially in vacuum are investigated.By means of exact solution of the master equation,the matrix elements of the density operator of the compound atom-field system are obtained.It is found that the cavity dissipation has an obvious influence on the atomic squeezing and the field squeezing under the resonant atom-field interaction.But the effects of the cavity dissipation on both squeezing will decrease under the off-resonance interaction condition.
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.
Based on the time-convolutionless master-equation approach, we investigate squeezing of light field in a dissipative Jaynes–Cummings model. The results show that squeezing light can be generated when the atom transits to a ground state from an excited state, and then a collapse-revival phenomenon will occur in the squeezing of light field due to atom-cavity coupling. Enhancing the atom-cavity coupling can increase the frequency of the collapse-revival of squeezing. The stronger the non-Markovian effect is, the more obvious the collapse-revival phenomenon is. The oscillatory frequency of the squeezing is dependent on the resonant frequency of the atom-cavity.