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Acta Sinica Quantum Optica

Correlation Properties of the Field in the System of Uncorrelated Two-mode Thermal Field Interacting with V-type Three-level Atom in Kerr Medium Cavity

HE Shu-fang

Published Jan 1, 2009• 0 citations
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Abstract

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.

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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.

Acta Physica Sinica•Jan 1, 2000•0 citations
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 properties of the light field in the system of two coupled V-type atoms interacting with coherent field in Kerr medium were studied.The solution describing the dynamics process of the system was gained by means of the coupled Tavis-Cummings model in quantum optics.Influences of the initial state,the detuning of the field,the coupling strength of dipole-dipole interaction between atoms and Kerr coefficient on the second-order correlation function and the squeezing parameter of the field were discussed.Numerical calculation results show: when the average photon number of the field in the initial state is smaller,the field exhibits apparent quantum effect;when the probability amplitude of the excited states of the atoms in the initial state changing from small to large,the anti-bunching effect of the field becomes more obvious,but the squeezing depth increase at first and then decrease;the detuning changing create small influence on the quantum properties of the field,its changing only change the oscillating period of the second-correlation function and the squeezing parameter of the field;the increasing of the coupling strength between the atoms weaken the anti-bunching effect of the field and make the squeezing depth become shallow;the increasing of Kerr coefficient enhances the anti-bunching effect of the field,but makes the squeezing depth become shallow.
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.
The statistic properties of photon in the system of a two-mode odd-even entangled coherent states field interacting with a V-type three-level atom in Kerr medium are investi- gated by solving Schr dinger equation and numerical calculations.The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode odd-even en- tangled coherent states field,the coupling strength of the Kerr medium with the light field, the mean photon numbers and the ground state probability amplitude of atomic initial state are analyzed.The results indicate that the influence of the degree of entanglement of the two-mode odd-even entangled coherent states fields on the statistic properties of photon isn't noticeable.But the enhancing of Kerr effect,the decreasing of mean photon numbers and the increasing of the ground state probability amplitude of atomic initial state cause the time evolution curves to move up or down distinctly.The enhancing of Kerr effect results in the increase of the oscillating frequency of the curve and the decrease of the oscillating amplitude of the curve.When the mean photon numbers of the mode 1 remain unchanged and the mean photon numbers of the mode 2 are decreased,the oscillating amplitude of the curve is increased.
The statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.
We have studied the non-resonance interaction between a V-type three-level atom and two-mode cavity with Kerr medium. The results show that if the detunings of the two-mode cavities are equal (δ1＝δ2), when initial strength ξ of the two cavities remains unchanged and photon difference q of the two mode cavities is decreased, the non-classical coherence degree between the two mode cavities is increased; when q remains unchanged and ξ is increased, the non-classical coherence degree between the two mode cavities is decreased. When Δδ=|δ2-δ1|=0 and q and ξ remain unchanged, the non-classical coherence degree is decreased with the increase of Kerr effect, and the value of Δδ has an importance influence on the non-classical coherence degree. The results also show that when δ1=δ2, the second-order coherence degree of the cavity 1 shows g211222222>1. On the other hand, the amplitude evolution of the second-order coherence degree of two-mode cavity is decreased due to the influence of Kerr effect.
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.