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Acta Physica Sinica

INFLUENCE OF THE VIRTUAL PHOTON FIELD ON THE PERIODIC DECAY AND REVIVAL EFFECT OF AN ATOM

Peng Jin-sheng，Li Gao-xiang，Zhou Peng

Published Jan 1, 1991• 7 citations
Publisher

Abstract

摘要 本文利用非相对论量子电动力学理论, 研究了在旋波近似(R w A ) 和非旋波近似下与双光子场作用的二能级原子算符的时间演化规律, 通过数值法和解析法论证了虚光场是原子的周期衰变和回复呈现量子噪声的根源, 并且说明了可忽略虚光场对回复时间影响的原因. Abstract In this paper, we investigate the time evolution of the atomic operators of a two-Ievel atom interacting with the field via a two –photon Process within and without the rotating-wave approximation (RWA) by means of non-relativestic QED. We also verified that the virtual photon field is the cause for quantum chaos embodied by the periodic decay and revival effect of the atom using the numerical and analytic methods, and discussed the reason of neglecting the influence of the virtual photon field on the revival time. 作者及机构信息 彭金生;李高翔;周鹏 1. 华中师范大学物理系 湖北教育学院物理系 Authors and contacts Peng Jin-sheng; Li Gao-xiang; Zhou Peng 参考文献 施引文献

DOI
10.7498/aps.40.1042

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摘要 本文利用非相对论量子电动力学理论, 研究了在旋波近似(R w A ) 和非旋波近似下与双光子场作用的二能级原子算符的时间演化规律, 通过数值法和解析法论证了虚光场是原子的周期衰变和回复呈现量子噪声的根源, 并且说明了可忽略虚光场对回复时间影响的原因. Abstract In this paper, we investigate the time evolution of the atomic operators of a two-Ievel atom interacting with the field via a two –photon Process within and without the rotating-wave approximation (RWA) by means of non-relativestic QED. We also verified that the virtual photon field is the cause for quantum chaos embodied by the periodic decay and revival effect of the atom using the numerical and analytic methods, and discussed the reason of neglecting the influence of the virtual photon field on the revival time. 作者及机构信息 彭金生;李高翔;周鹏 1. 华中师范大学物理系 湖北教育学院物理系 Authors and contacts Peng Jin-sheng; Li Gao-xiang; Zhou Peng 参考文献 施引文献
In this paper, we investigate the time evolution of the atomic operators of a two-level atom interacting with the field via a two-photon process within and without the rotating-wave approximation (RWA) by means of non-relativestic QED. We also verified that the virtual photon field is the cause for quantum chaos embodied by the periodic decay and revival effect of the atom using the numerical and analytic methods, and discussed the reason of neglecting the in-fluence of the virtual photon field on the revival time.
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.
The dynamics of an ensemble of two-level atoms injected into a single-mode cavity is studied in the exact atom-field interaction situation, in which the counter-rotating terms describing the so-called virtual photon processes neglected in the rotating-wave approximation, are considered. The cavity mode is driven by the injected classical field,and the atom is prepared in a coherent superposition of the two levels. We first derive the generalized Lorenz-Haken equation by using the technique of quantum Langevin equation, and then numerically study the dynamics of this equation.We find that the virtual photon processes have strong effects on the dynamics, which can cause the trajectory in phase space of strange attractor spiral around four focus points, and the trajectory is modulated by virtual photon processes.The chaos region in parameter space is now enlarged. It should be stressed that the strange attractor can exist in optical bistability, and whether the atomic coherences and classical field can inhibit chaos depends on the laser frequency.
The dynamics of an ensemble of two-level atoms injected into a single-mode cavity is studied in the exact atom-field interaction situation, in which the counter-rotating terms describing the so-called virtual photon processes neglected in the rotating-wave approximation, are considered. The cavity mode is driven by the injected classical field, and the atom is prepared in a coherent superposition of the two levels. We first derive the generalized Lorenz–Haken equation by using the technique of quantum Langevin equation, and then numerically study the dynamics of this equation. We find that the virtual photon processes have strong effects on the dynamics, which can cause the trajectory in phase space of strange attractor spiral around four focus points, and the trajectory is modulated by virtual photon processes. The chaos region in parameter space is now enlarged. It should be stressed that the strange attractor can exist in optical bistability, and whether the atomic coherences and classical field can inhibit chaos depends on the laser frequency.
We have studied the squeezing properties of a field and atom in a two-level system. The influence of nonlinear interactions (Le. the arbitrary intensity-dependent coupling of a single-mode field to a single two-level atom, the nonlinear interaction of the field with a nonlinear Kerr-like medium) on the squeezing is discussed in detail in the rotating wave approximation (RWA). We show numerically that the effect of the virtual-photon field suppresses dipole squeezing predicted in the RWA and leads to an increased squeeze revival period; the suppressed squeezing can be revived due to the presence of the nonlinear Kerr-like medium.