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Communications in Theoretical Physics

Sub-Poisson Distribution of a Radiation Field in a Cascade Three-Level Atomic System

Song-Gen Sun, Daning Shi

Published Mar 15, 1995• 0 citations
Publisher

Abstract

In a cascade three-level atomic system, a parametric study of sub-Poisson or super-Poisson distribution of a stimulated field was performed. By numerical calculation and figures, we investigated the time evolution of the sub-Poisson distribution of a radiation field. We found that different atomic initial states and different ratios of photon numbers of two radiation fields as well as different ratios of two transitions have a remarkable influence on this distribution. It is interesting to note that under certain conditions, in this cascade structure, there is a high degree of super-Poisson distribution that has not been reported in other structures. We try to explore this anomaly in detail.

DOI
10.1088/0253-6102/23/2/133

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In a cascade three-level atomic system, a parametric study of sub-Poisson or super-Poisson distribution of a stimulated field was performed. By numerical calculation and figures, we investigated the time evolution of the sub-Poisson distribution of a radiation field. We found that different atomic initial states and different ratios of photon numbers of two radiation fields as well as different ratios of two transitions have a remarkable influence on this distribution. It is interesting to note that under certain conditions, in this cascade structure, there is a high degree of super-Poisson distribution that has not been reported in other structures. We try to explore this anomaly in detail.
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 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 entropy evolution properties of field (atom) in a moving cascade three-level atom interacting with a single-mode field are studied through two photon transitions. When the atom is initially in coherent state, the influences of the atomic motion, the field-mode structure parameter and the initial average photon number on the evolution of the entropy are discussed. The results show that the entropy evolution period of the field is dependent of the atomic motion and the field-mode structure parameter. However, the parameter of the initial average photon number will neither lengthen nor shorten the entropy evolution period of the field, but the numerical values of maximum and sub-minimum of entropy will be affected by it.
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.
Dynamics of a three-level atom interacting with one- and two-mode radiation fields is studied when the initial state of the field is a squeezed coherent state. All the three types of level configurations cascade; V and Lambda are considered. A model similar to the Jaynes-Cumming type developed by Yoo and Eberly1 is used. Various parameter ranges including the one in which the photon number distribution for the squeezed state exhibits oscillatory behavior2 are considered. Interesting revival structures are seen. Curves are presented to illustrate the behavior.