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Acta Physica Sinica

ENTROPY PROPERTIES OF THE FIELD IN THE TWO- PHOTON JAYNES-CUMMINGS MODEL WITH AN ADDITIONAL KERR MEDIUM

Mao-Fa Fang, Peng Zhou

Published Jan 1, 1994• 14 citations
Publisher

Abstract

In this paper, the entropy properties of the field in the two-photon Jaynes-Cu-mmings model with an additional Kerr medium are studied, the effect of nonlineari-ty interaction of the Kerr medium with the model field on the field entropy are discussed. With the help of quantum interference in phase space between two part of the bifurcation of the Q function of the field, the physical mechanism of properties of the field entropy are explained.

DOI
10.7498/aps.43.570

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In this paper, the entropy properties of the field in the two-photon Jaynes-Cu-mmings model with an additional Kerr medium are studied, the effect of nonlineari-ty interaction of the Kerr medium with the model field on the field entropy are discussed. With the help of quantum interference in phase space between two part of the bifurcation of the Q function of the field, the physical mechanism of properties of the field entropy are explained.
The system under consideration consists of a two-level atom coupled an optical field in k-photon Jaynes-Cummings model with a Kerr medium.The time evolution of field entropy squeezing and population inversion of the atom for three and four-photon transitions was discussed.The influence of Kerr medium on field entropy squeezing and population inversion of the atom was also analyzed.The results show that the field entropy squeezing and population inversion of the atom are sensitive to effect of Kerr medium.
We study the interaction between a one-mode electromagnetic field and a two-photon Jaynes-Cummings model in the presence of the classical homogenous gravitational field with an added Kerr-like medium when the atom is prepared initially in the momentum eigenstate. The wave function is calculated by using the Schrodinger equation for a coherent electromagnetic field and an atom in the excited state. The influence of the Kerr-like medium and the classical homogenous gravitational field on the properties of the entropy of the field is examined. Keywords: two-level atom; Kerr-like medium; gravitational field; entropy .
The field entropy squeezing properties in the nonlinear Jaynes-Cummings model are studied by means of quantum information entropy, and the influences of the nonlinear interaction of the Kerr medium with the model field and the initial state of atoms on the field entropy squeezing are discussed. It shows that the nonlinear interaction of the Kerr medium can lead to an increase in the squeezing depth. On the other hand, the squeezing time and the squeezing depth increases with the increase of the atomic distribution angle.
We have studied the dynamics of the two\|photon Jaynes\|Cummings model (TPJCM) by using the quantum information theory, given the quantum mechanical channel representing the state change of atom, derived the quantum mutual entropy and reduced entropy of the atom, and examined the effects of the phase coherence of initial cavity field and the Stark shift of atomic levels on the quantum mutual entropy in the TPJCM. It is shown that quantum mutual entropy \{evolves\} periodically, quantum mechanical channel transmits periodically the information of atomic initial state to its final states, and quantum mechanical channel and mutual entropy are also dependent on the phase coherence of initial cavity field and on the Stark shift of atomic levels.