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Chinese Journal of Quantum Electronics

Entropy squeezing of the field in the nonlinear J-C model

Mao-Fa Fang

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

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.

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Acta Physica Sinica•Jan 1, 2008•1 citation
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.
The field entropy squeezing properties in the nonlinear interaction between squeezing vacuum state field and atom are studied by means of quantum information entropy theory. The influences of nonlinear interaction intensity of Kerr medium and the squeezing degree of initial squeezing vacuum state field on the entropy squeezing properties are discussed. The results show that the field entropy can be squeezed periodically without Kerr medium, and the nonlinear interaction intensity of Kerr medium can change the periodicities of evolution of the field entropy squeezing, the field may exhibit long-time entropy squeezing effect when the squeezing degree of initial squeezing vacuum state field is big ((r=5).)
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.
From a quantum information point of view we study the entropy squeezing of a two-level atom interacting with two modes with intensity-dependent coupling. The Hamiltonian we consider consists of all acceptable forms of nonlinearities. A definition of squeezing is presented for this system, based on information theory. The utility of the definition is illustrated by examining squeezing in the information entropy of a two-level atom in the presence of a nonlinear medium. We examine the influence of the nonlinear interaction, the atomic coherence and the detuning parameter on the properties of the entropy and squeezing of the atomic variables. It is shown that features of the quantum entropy are influenced significantly by the kinds of intensity-dependent atom-field coupling and the nonlinearities of the two-mode fields.
The properties of the field quantum entropy evolution in a system of a single-mode squeezed coherent state field interacting with a two-level atom is studied by utilizing the complete quantum theory, and we focus our attention on the discussion of the influences of field squeezing parameter γ, atomic distribution angle θ and coupling strength g between the field and the atom on the properties of the evolution of field quantum entropy. The results obtained from numerical calculation indicate that the amplitude of oscillation of field quantum entropy evolution decreases with the increasing of squeezing parameter γ, and that both atomic distribution angle θ and coupling strength g between the field and the atom can influence the periodicity of field quantum entropy evolution.
The interaction between a two-level atom and a single-mode field in the k -photon Jaynes—Cummings model (JCM) in the presence of the Stark shift and a Kerr medium is studied. All terms in the Hamiltonian, such as the single-mode field, its interaction with the atom, the contribution of the Stark shift and the Kerr medium effects are considered to be f -deformed. In particular, the effect of the initial state of the radiation field on the dynamical evolution of some physical properties such as atomic inversion and entropy squeezing are investigated by considering different initial field states (coherent, squeezed and thermal states).