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Journal of Physics B Atomic Molecular and Optical Physics

Quantum statistical properties of the non-resonant interaction of a three-level atom with two radiation fields

Songen Sun

Published Jan 28, 1989• 1 citation
Publisher

Abstract

Quantum statistical properties such as first-order coherence, antibunching, sub-Poisson distribution and the probability distribution of photon number are studied by considering the non-resonant interaction of two radiation fields with a ' Lambda ' structure three-level atom. It is found that the different detunings and the different ratios of average photon number of two radiation fields as well as the time regime have a remarkable influence on quantum statistical properties of the two radiation fields. The author also emphasises that the initial atomic state plays an important role in the non-resonant interaction and tries to explore the connections among these non-classical effects.

DOI
10.1088/0953-4075/22/2/019

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Quantum statistical properties such as first-order coherence, antibunching, sub-Poisson distribution and the probability distribution of photon number are studied by considering the non-resonant interaction of two radiation fields with a ' Lambda ' structure three-level atom. It is found that the different detunings and the different ratios of average photon number of two radiation fields as well as the time regime have a remarkable influence on quantum statistical properties of the two radiation fields. The author also emphasises that the initial atomic state plays an important role in the non-resonant interaction and tries to explore the connections among these non-classical effects.
Quantum-statistical properties such as the photon-number probability distribution and sub-Poissonian distribution are studied by considering the resonant interaction of two radiation fields, one of which is in a squeezed state with a cascade-structure three-level atom. It is noteworthy to emphasize that the direction of squeezing, i.e., the angle \ensuremath{\theta}, and the squeezing parameter r as well as the initial atomic state play important roles in the determination of the nonclassical behavior of the radiation field. At the same time we give a possible explanation for the effect of the ratio of the intensity of the two fields on the quantum-statistical properties.
The quantum-statistical model for a three-level atom interacting with two radiation fields is studied. The mean atomic occupations and photon numbers are obtained under different initial conditions of one coherent field and one chaotic field or both chaotic or coherent fields, with the atom in upper or lower states. Through numerical summation, it is shown that the effects of coherent sources and chaotic sources are different even for low intensities. Meanwhile the effects of detuning on this interaction are discussed.
Quantum statistic properties of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the sub-Poisson statistics,the coherent properties of two-mode cavity field,photon bunching and anti-bunching,and the violations of Cauchy-Schwarz inequality on the average photon number of the cavity mode,the coupling constant and the interaction time is discussed in three cases:(1) no state-selective measurement on the atom;(2) direct state-selective measurement on the atom;(3) state-selective measurement on the atom after the application of a classical field.The results indicate,when the state-selective measurement is performed on the atom,the sub-Poisson statistic properties is distinctly enhanced,the anti-correlative degree between two-mode is distinctly deadened,and the Cauchy-Schwarz inequality is always violated;the mode a anti-bunching exhibits when the state-selective measurement is performed on the atom and the average photon number difference of the two cavity modes is large.
The time evolution of the antibunching and quantum beat is studied by considering the resonant interaction of two radiation fields with a cascade three-level atom. It is found that different initial atomic states and different ratios of the average photon number of two radiation fields as well as the different coupling coefficients have a remarkable influence on the antibunching and quantum beat of two radiation fields. By numerical summation and a number of figures, it is interesting to note that under certain conditions, some strange behaviour occurs in this cascade three-level atomic system. The explanation of these strange behaviours is given.
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.
Statistic properties of photon in the system of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the statistic properties of photon on the total photon number of the two-mode,the partition parameter and the coupling constant are discussed for three cases:①no state-selective atomic measurement;②direct state-selective atomic measurement;③state-selective atomic measurement after the application of a classical field.The results indicate that when the direct state-selective measurement is performed on the atom,the average intensity of the sub-poisson statistic distribution of mode a is enhanced;when the partition parameter is decreased,the average intensity of the sub-poisson statistic distribution of mode a is reduced and that of mode b is enhanced;when the state-selective mesurement is performed on the atom,the Cauchy-Schwarz inequality is violated;when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom,the anti-correlation character between the two modes is preserved,but the average intensity of the anti-correlation is reduced.