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Jiguang zazhi

The quantum dynamics of two-mode SU(1,1) coherent state interacting with a four-level atom

Xie Fang-sen

Published Jan 1, 2009• 0 citations
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Abstract

The state function of the two-mode SU(1,1) coherent states field interacting with a four-level atom is derived by means of quantum theory.It is studied that the two-mode intensity correlation function,the Cauchy-Schwartz inequality and the second-order coherence properties for each mode of the light field in the system of the two-mode SU(1,1) coherent states field interacting with four-level atom.It is discussed that the influence of the coupling coefficient between the light field and atom and the initial intensity of the light field on file quantum dynamics of the light field.The results of the studies indicate that the statistic properties of the photon depend on the initial state of the system,the correlation of the two-mode of light is both positive and non-classical,the photon anti-bunching of the first mode appear at all time,and the photon bunching and anti-bunching of the second mode appear alternately.

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The state function of the two-mode SU(1,1) coherent states field interacting with a four-level atom is derived by means of quantum theory.It is studied that the two-mode intensity correlation function,the Cauchy-Schwartz inequality and the second-order coherence properties for each mode of the light field in the system of the two-mode SU(1,1) coherent states field interacting with four-level atom.It is discussed that the influence of the coupling coefficient between the light field and atom and the initial intensity of the light field on file quantum dynamics of the light field.The results of the studies indicate that the statistic properties of the photon depend on the initial state of the system,the correlation of the two-mode of light is both positive and non-classical,the photon anti-bunching of the first mode appear at all time,and the photon bunching and anti-bunching of the second mode appear alternately.
The state function of the two-mode SU(1,1) coherent states field interacting with four-level atom added Kerr-like medium was derived. By using the state function it was studied that the influence of the Kerr effect and the initial light field intensity on the two-mode intensity correlation function, the Cauchy-Schwartz inequality, and the second-order correlation function for each mode. The results indicate that the influences of Kerr effects on the properties of the correlation on the correlation intensity between the two-mode on the bunching or antibunching effect of the two-mode SU(1,1) coherent states are obviously related to the initial intensity of the light field.
The quantum statistical properties in the system of a two-mode SU(1,1)coherent field interacting with a two-level atom are investigated by solving Milburn equation.The effects on the quantum statistical properties induced by the intrinsic decoherence,the two-mode photon number and the mean photon number are analyzed.The results show that the intrinsic decoherence strengthens the anti-bunching effect of the two-mode and the correlation intensity between the two modes and makes the first mode of the field always to be sub-Poissonian.The second-order coherence degree of the two-mode field also exhibits obvious collapse- revival effect with the intrinsic decoherence.The first mode of the field is sub-Poissonian with the evolution of the time.The photon anti-bunching appears and the correlation between the two modes of light is both positive and non-classical.But in most of the time,the second mode of the field is Poissonian with the evolution of the time and the photon bunching appears.
We study the quantum dynamics of a two-mode two-photon Jaynes–Cummings model of a two-level atom interacting with the correlated two-mode SU(1, 1) coherent states. The collapse and revival patterns in this case are noted to be quite different from those in the case of uncorrelated coherent states and correlated pair-coherent states. As an example of the time evolution of the field statistics we show that violation of the Cauchy–Schwartz inequality by the initial field states may be nullified. We also discuss the evolution of the variance of the two-mode field quadrature operator.
Anti-bunching effect of the field in the system of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level Λ-type atom are investigated by means of quantum theory and nu-merical calculations.The dependence of the anti-bunching effect on the total photon of the tow-mode,the parti-tion parameter,the coupling constant and the atomic initial state is discussed for two cases:(1) no state-selective atomic measurement;(2) direct state-selective atomic measurement.The results indicate: the anti-bunching effect of the two mode of the field exhibits when the two coupling coefficients are the same;a mode anti-bunching ef-fect is distinctly enhanced when the atom is initially on the lower level or direct state-selective measurement is performed on the atom;the anti-bunching effect of the two mode of the field is distinctly enhanced when the to-tal photon number of the two-mode is decreased;the anti-bunching effect of the field does not change over time when the two coupling coefficients are the same and the state-selective measurement is performed on the atom.
The statistic properties of photon of a light-atoms interaction system,and two atoms in Bell states interacting with two-mode entangled coherent field,were investigated by means of quantum theory and numerical method.The effect on the statistic properties of photon induced by the atomic initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms were analyzed by numerical calculations.The results indicate that photon anti-bunching effect does not appear for the Bell state ｜β00〉 or ｜β10〉,however there can appear the photon anti-bunching effect under some conditions for the Bell state ｜β01〉 or ｜β11〉 appears.In the case,the photon anti-bunching effect depends on the mean photon numbers intensively.The influence of the degree of entanglement for the two-mode entangled coherent fields and the coupling strength of dipole-dipole interaction between atoms on the statistic properties of photon is small.
The quantum properties and amplitude-squared squeezing effects of light field are studied in the system of two-mode SU(1,1) coherent states interacting with Bose-Einstein Condensate of V-type three-level atoms,and the squeezing properties of atomic laser have also been discussed.The results show that the quantum correlation properties of light field keep invariant in the process of interaction between light field and atomic BEC,and the photons of each mode produce antibunching effect.The correlation between the two modes shows the non-classical correlation in the process of interaction.There are amplitude-squared squeezing effects in these quantum states.The influence of field parameter and atom parameter on the depth and duration of squeezing are investigated.The two-mode atomic laser can be squeezed,but it is difficult to squeeze.The degree of squeezing is determined by initial light field.