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Acta Physica Sinica

ENTROPY PROPERTIES OF THE FIELD OR THE ATOM IN THE INTERACTING SYSTEM OF TWO-MOD E FIELD WITH THE V-TYPE THREE-LEVEL ATOM IN A KERR-LIKE MEDIUM

Lai Zhen-jiang, Liu Zi-xin, 河南师范大学物理系,新乡 453002

Published Jan 1, 2000• 0 citations
Publisher

Abstract

Using the method of the systematic state vector we formulate the entropy of the V-type three-level atom interacting with initially uncorrelated two-mode coheren t states of arbitrary detunings in a cavity filled with Kerr-like medium. It is shown by numerical calculation that the behavior of the entropy is strongly affe cted by the Kerr medium. Weak Kerr medium improves the quantum correlation. Stro nger Kerr medium induces strongly periodic fluctuation of the quantum correlatio n between the atom and the fields.

DOI
10.7498/aps.49.1714

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Using the method of the systematic state vector we formulate the entropy of the V-type three-level atom interacting with initially uncorrelated two-mode coheren t states of arbitrary detunings in a cavity filled with Kerr-like medium. It is shown by numerical calculation that the behavior of the entropy is strongly affe cted by the Kerr medium. Weak Kerr medium improves the quantum correlation. Stro nger Kerr medium induces strongly periodic fluctuation of the quantum correlatio n between the atom and the fields.
The entropy properties of field in the system of coupled identical V-type three-level atoms interacting with vacuum field in cavity filled with Kerr-like medium are studied by means of quantum theory. The time evolution of entropy of field via the initial state of the atomic system,coupling coefficient between the atoms and Kerr coefficient are discussed.Numerical calculation results show that when the ground state and excited state of atoms are in appropriate superpositions state,the entropy of field is behaving periodic oscillation.The oscillation frequency and amplitude are depending on the coupling constant between atoms and the third-order nonlinear coefficient of Kerr-like medium.Therefore,the entropy of field is very sensitive to the atomic initial state.
In this paper, we study the interaction between a three-level atom and a quantized single-mode field with 'intensity-dependent coupling' in a 'Kerr medium'. The three-level atom is considered to be in a Λ-type configuration. Under particular initial conditions, which may be prepared for the atom and the field, the dynamical state vector of the entire system will be explicitly obtained, for the arbitrary nonlinearity function f(n) associated with any physical system. Then, after evaluating the variation of the field entropy against time, we will investigate the quantum statistics as well as some of the nonclassical properties of the introduced state. During our calculations we investigate the effects of intensity-dependent coupling, Kerr medium and detuning parameters on the depth and domain of the nonclassicality features of the atom–field state vector. Finally, we compare our obtained results with those of V -type three-level atoms.
The entropy properties of the light field of coupled identical Λ-type three-level atoms interacting with vacuum field in cavity filled with Kerr medium were investigated by means of quantum theory.The time evolutions of the entropy of the light field were discussed via the initial state of the system,detuning,coupling coefficient between the atoms,and the Kerr coefficient.Numerical calculation results show that the evolution of the entropy of the light field exhibits periodic oscillation,and its frequency and amplitude are intensively dependent on the initial state of the system.When the detuning the oscillation amplitude decreases with the increases of coupling strength and Kerr coefficient.
The correlation properties of the uncorrelated two-mode thermal field during their interaction with V-type three-level atom in the Kerr medium cavity is studied.By numerical calculation and graphic analysis,the influences of the Kerr medium,the detuning,mean photon number and coupling constant on correlation property are discussed.The result shows that;when the V-type three-level atom is interacting with initial uncorrelated two-mode thermal field,the correlation of the two-mode field will take place and the correlation intensity of the fields depends on the coupling strength,the detuning and the Kerr medium;when the two-mode thermal field interacts with nude atom symmetrically,the two-mode field is always positive correlative;with the mean photon number of one mode increasing,the correlation intensity of the field will decrease;the enhancing of Kerr medium and detuning will reduce the correlation intensity of the fields;when the two-mode thermal field interacts with nude atom nonsymmetrically,without loss of generality,supposed g1g2,the property of correlation appears alternately between correlation and anti-correlation;when the mean photon number of one mode remains unchanging and the mean photon number of the other mode increases,anti-correlation will disappear.
The quantum reduced entropy properties of a V-type three-level atom interacting with the two-mode odd-even entangled coherent field in Kerr medium are studied by means of quantum theory.The effects of the Kerr medium's coupling constant,the detuning,mean photon numbers of the fields on the entropy are discussed.The results show that the coupling strength of Kerr medium with the field influences the frequency of the entropy.The maximum values of entropy evolution decreases with the increasing of the detuning,meanwhile the frequencies increase,and the needed time to get the maximum value from the initial value zero is longer.When the mean photon numbers are too less or too more,the maximum values of entropy oscillation are much smaller.
We study the interaction of a three-level atom with two-mode cavity field containing a Kerr-like medium in this cavity. The atom is initially prepared in a momentum eigenstate and the field is in the squeezed state. The constants of motion and the wave function for the atomic system of Λ-configuration at any time t > 0 are obtained. Also, the momentum increment, the momentum diffusion and the field entropy are calculated. The analytic results are employed to perform some investigations of the temporal evolution of the momentum increment and the field entropy. The influence of the number operators, the detunings and/or the Kerr-like medium is analysed. It is shown that the addition of the Kerr medium and/or the detunings in the presence or absence of the number operators has an important effect on the properties of the momentum increment and of the field entropy. Finally, conclusions and some features and comments are given.