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Chinese Journal of Quantum Electronics

Influence of intrinsic decoherence on the quantum statistical properties of light field

Zhang Cheng-qiang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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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.
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 atomic population inversion in the system of a two-mode SU(1,1) coherent field interacting with a two-level atom is investigated by solving Milburn equation. The effects on the atomic population inversion induced by the intrinsic decoherence, the two-mode photon number and the mean photon number are analyzed. The results show that the collapse and revival phenomena of the atomic population inversion will appear when the two- mode photon number is not zero and will disappear gradually with the decrease of the mean photon number. The collapse and revival phenomena of the atomic population inversion will also appear with the intrinsic decoherence, but the amplitude of the Rabi oscillation will be reduced to zero with the evolution of the time.
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 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.
Considering the interaction between two-mode SU(1,1) coherence states and a two-level atom, we find an exact solution of the Milburn equation for the system. We investigate the time evolution of the entanglement of field-atom and one of two modes of field using the quantum-reduced entropy and quantum relative entropy, respectively. The influences of intrinsic decoherence and two-mode photon number difference on the evolution of the entanglement of field-atom and one of two modes of field are discussed. It is shown that the entanglement of field-atom reduces to a stationary value with time evolution and the entanglement between two modes increases to another stationary value with intrinsic decoherence, and the values only depend on the two-mode photon number and mean photon number.
The statistic properties of photon in the system of a two-mode entangled coherent state interacting with a Ξ-type three-level atom are investigated by solving Schrdinger equation and using numerical calculations. The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode entangled coherent state, the ground state probability amplitude of the atomic initial state, the detuning, the atom-field coupling constant and the mean photon number are analyzed. The results indicate that the influence of the degree of entanglement of the two-mode entangled coherent state on the statistic properties of photon is small. The increasing of the ground state probability amplitude of the atomic initial state causes the center of the time evolution curve to move up distinctly. The increasing of the detuning results in the decrease of the oscillating frequency of the time evolution curve. The influences of the atom-field coupling constant and the mean photon number on the statistic properties of photon are noticeable. The correlation of the two modes of light is non-classical all the time.