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PHOTON STATISTICS AND QUANTUM FLUCTUATIONS IN TWO-PHOTON JAYNES-CUMMINGS MODEL

Shi-Yao Zhu, Kunchi Peng

Published Jul 18, 1988• 0 citations
OpenAlex

Abstract

Single-photon J-C model (or two-level J-C model) composed of a two-level atom and single-mode field has been studied for many years. Recently, this model was expanded into two–photon J–C model (or three-level J–C model) composed of a three-level atom and single-mode field, which has the potential to produce antibunched field[1] and even squeezed field. A main property of the J-C model is the collapse and revival phenomenon, which has experimentally in single-photon J-C model been proved[2] last year. In the collapse period, average photon number and atomic populations keep constant, as if no interaction between the atom and field exists. We would like to ask if other properties of the field change little in the collapse period and there is really no interaction.

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When single mode coherent light field interacts with two-level atomic mixed-state,the properties of the atomic population inversion is studied by means of the multi-photon anti-Jaynes-Cummings model.The influence for the parameters of average photon number of the coherent light field,transition photon number and mixing extent of the atomic initial state on the atomic population inversion has been discussed.The results show that the collapse and revival phenomena of periodicity will also appear in the two-level atomic population inversion.With the increasing of the average photon number of the coherent light field and the transition photon number,the revival period and attenuation time of collapse will change.With the increase of the average photon number of the coherent light field,the oscillation frequency of the atomic population inversion increases correspondingly.The revival period and attenuation time of collapse will not change,but the oscillation amplitude of the atomic population inversion will be increase as the decreasing of mixing extent of the atomic initial state.

Journal of Atomic and Molecular Physics•Jan 1, 2011•0 citations
Single-photon J-C model (or two-level J-C model) composed of a two-level atom and single-mode field has been studied for many years. Recently, this model was expanded into two–photon J–C model (or three-level J–C model) composed of a three-level atom and single-mode field, which has the potential to produce antibunched field[1] and even squeezed field. A main property of the J-C model is the collapse and revival phenomenon, which has experimentally in single-photon J-C model been proved[2] last year. In the collapse period, average photon number and atomic populations keep constant, as if no interaction between the atom and field exists. We would like to ask if other properties of the field change little in the collapse period and there is really no interaction.
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.
With the concept of negative photon and the -photon J C model, we investigate analytically the effect of virtual photon field on the collapse revival effect of atomic inversion and squeezing of atom, we find that there is a significant effect of virtual photon field on atomic inversion and squeezing of atom; with the one-photon model as an example, we find that the squeezing of atom occurs periodically, the time and times of squeezing are only related to the resonance frequency and the amplitude of squeezing related to coupling constant of atom field, mean photon number and resonance frequency; also we show that the effect of squeezing of atom does not exist within rotating wave approximation if . Taking the approach of nearest-neighboring spectrum in the quantum chaos field, we investigate the properties of energy spectrum in one-photon JC model and show that the integrable region, non-integrable region and transition region of this system can be illustrated by a phase diagram;also we discuss the influence of interaction of atoms on spectrum and statistics of adjacent energy levels, we find that the influence of interaction is little obvious in strong field but takes great important role in weak field.
For pt.1, see ibid., p.241, 1991. The authors consider phase properties of the field in the two-mode three-level problem. Phase properties of each individual mode as well as their joint probability distribution and correlation function are studied. They find that phase properties of the field reflect the collapses and revivals of the level occupation probabilities in most situations. However, there exist exceptions, for example, in the case of Raman scattering, which allows them to conclude that the collapses and revivals of the atomic population can be completely decorrelated from the phase of the field. This takes place when the field mode is fed by the photons emitted spontaneously from a real atomic level, which affects the field occupation numbers but not its phase.
In this paper we study the interaction between two-level atom and quantized single-mode field, namely, Jaynes-Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state, respectively. For this system we prove that the revival-collapse phenomenon exhibited in the atomic inversion of the standard JCM can be numerically (naturally) manifested in the evolution of the squeezing factor of the three-photon (standard) JCM provided that the initial photon-number distribution of the radiation has a smooth envelope.
When single mode coherent light field interacts with two-level atomic mixed-state,the properties of the atomic population inversion is studied by means of the multi-photon anti-Jaynes-Cummings model.The influence for the parameters of average photon number of the coherent light field,transition photon number and mixing extent of the atomic initial state on the atomic population inversion has been discussed.The results show that the collapse and revival phenomena of periodicity will also appear in the two-level atomic population inversion.With the increasing of the average photon number of the coherent light field and the transition photon number,the revival period and attenuation time of collapse will change.With the increase of the average photon number of the coherent light field,the oscillation frequency of the atomic population inversion increases correspondingly.The revival period and attenuation time of collapse will not change,but the oscillation amplitude of the atomic population inversion will be increase as the decreasing of mixing extent of the atomic initial state.