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Physical Review A

Effect of squeezed light on the photon-number probability distribution and sub-Poissonian distribution in the cascade three-level Jaynes-Cummings model

Lu-Bi Deng, Songen Sun

Published Oct 1, 1991• 1 citation
Publisher

Abstract

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.

DOI
10.1103/physreva.44.4757

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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.
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.
The behavior of the mean photon number, photon number variance and field squeezing is investigated for the two two-level atoms prepared in a multiatom squeezed state coupled to the vacuum or thermal field. The value of superposition angle (θ) of the atomic states is found to affect the photon number variance as well as field squeezing. The bound on the sun-Poissonian field concerning the value of θ and input mean photon number is determined. One of the field quadrature is found to exhibit permanent squeezing for the vacuum input in a small range of the value of θ. It is shown that the input thermal photons degrade the sub-Poissonian character and spontaneous squeezing. However, a considerable amount of squeezing is obtained even in the presence of thermal photons.
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.
The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state. The effect of mild squeezing on the coherent light is shown to be striking: the photon number distribution gets localized and it peaks maximally for a particular value of squeezing. The atomic inversion retains its structure for a longer time. The mean linear entropy shows that the atom has a tendency to get disentangled from field within the collapse region and also in the revival region, for mild squeezing. These properties are absent for the case of a coherent state or for an excessively squeezed coherent state. We also elucidate a connection between these properties and the photon statistics of the mildly squeezed coherent state; these states have the minimum variance and are also maximally sub-Poissonian.
Multiphoton interaction of single-mode squeezed-state light and a two-level atom is considered based on the K-photon Jaynes–Cummings model. Time evolution of quantum fluctuation and photon statistical properties of the initial squeezing light are discussed. It is found that through interaction with a two-level atom, larger squeezing levels cannot be achieved in one-photon or multiphoton processes. For photon antibunching behavior of the light field, it is shown that a smaller initial squeezing level and an appropriately larger coherent part of the initial average photon number of the radiation field favor the generation of this nonclassical behavior, especially in the lower-order interaction processes.