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理论物理通讯：英文版

Quantum Collapse and Revival of Atom in Mode-Mode Competing System

WuQin, FANGMao-Fa

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The atomic inversion dynamics in the mode-mode competing system is studied by means of fully quantum theory. A general solution to the Schrodinger equation of this system is obtained. The influence of the relative competing strength between the atom and the two-mode field on the atomic inversion is disccussed. We show that the presence of the mode-mode competition can result in periodical collapses-revivals of the atomic inversion.

Related papers

Quantum Collapse and Revival of Atom in Mode-Mode Competing System

Qin Wu, Mao-Fa Fang

The atomic inversion dynamics in the mode-mode competing system is studied by means of fully quantum theory. A general solution to the Schrödinger equation of this system is obtained. The influence of the relative competing strength between the atom and the two-mode field on the atomic inversion is disccussed. We show that the presence of the mode-mode competition can result in periodical collapses-revivals of the atomic inversion.

Communications in Theoretical Physics•Mar 1, 2005•5 citations

Atomic dynamics in the mode–mode competition system

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The atomic dynamical properties in the system with competing k -photon and l -photon transitions are studied fully by means of quantum theory. We discuss the influences of the mode–mode competition, the relative competing strengths of the atom and the two-mode field and the initial state of the system on the atomic dynamics. We show that the presence of the mode–mode competition can result in quite a periodical collapses-revivals of the atomic inversion and the increase of the initial photons of the system can lead to the collapse–revival phenomenon and prolong the revival time of the atomic inversion.

Chinese Physics•Sep 1, 2004•5 citations

Collapse and Revival of an Atomic Beam Interacting with a Coherent State Light Field

Ben Li, Jingbiao Chen

We report on the phenomena of the periodic spontaneous collapse and revival in the dynamics of an atomic beam interacting with a single-mode and coherent-state light field. Conventional collapse and revival by Eberly et al. [ Phys. Rev. Lett. 44 (1980) 1323 ] are presented in the case of the evolution with time of the population inversion. Here, we study the evolution with coupling strength of population inversion. We define the collapse and revival coupling strengths as characteristic parameters to describe the above collapse and revival. Furthermore, we present the analytic formulas for the population inversion, the collapse and revival coupling strengths.

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Atom–field interaction – quantum theory

Marlan O. Scully, Muhammad Suhail Zubairy

In the preceding chapters concerning the interaction of a radiation field with matter, we assumed the field to be classical. In many situations this assumption is valid. There are, however, many instances where a classical field fails to explain experimentally observed results and a quantized description of the field is required. This is, for example, true of spontaneous emission in an atomic system which was described phenomenologically in Chapter 5. For a rigorous treatment of the atomic level decay in free space, we need to consider the interaction of the atom with the vacuum modes of the universe. Even in the simplest system involving the interaction of a single-mode radiation field with a single two-level atom, the predictions for the dynamics of the atom are quite different in the semiclassical theory and the fully quantum theory. In the absence of the decay process, the semiclassical theory predicts Rabi oscillations for the atomic inversion whereas the quantum theory predicts certain collapse and revival phenomena due to the quantum aspects of the field. These interesting quantum field theoretical predictions have been experimentally verified. In this chapter we discuss the interaction of the quantized radiation field with the two-level atomic system described by a Hamiltonian in the dipole and the rotating-wave approximations. For a single-mode field it reduces to a particularly simple form. This is a very interesting Hamiltonian in quantum optics for several reasons. First, it can be solved exactly for arbitrary coupling constants and exhibits some true quantum dynamical effects such as collapse followed by periodic revivals of the atomic inversion.

Cambridge University Press eBooks•Sep 4, 1997•7 citations

Collapses and revivals in the Dicke model

S. M. Chumakov, J. J. Sánchez-Mondragón

We discuss the time evolution of the atomic inversion of a system of N two-level atoms interacting with a single quantized field mode in a high-Q cavity. We present both the operator solution and analytical expressions for the corresponding revivals, and extend the well-known picture of the single-atom (JCM). The operator solution is perturbative based on the approximate dynamic symmetry of this model1; the analytical revival method was introduced recently.2

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Quantum properties of atom and two-mode filed with intrinsic decoherence

Yun‐Jie Xia

The atomic population inversion in the system of a two-mode SU(1,1) coherent field interacting with a two-level atom is investigated by solving Milburn equation. The effects on the atomic population inversion induced by the intrinsic decoherence, the two-mode photon number and the mean photon number are analyzed. The results show that the collapse and revival phenomena of the atomic population inversion will appear when the two- mode photon number is not zero and will disappear gradually with the decrease of the mean photon number. The collapse and revival phenomena of the atomic population inversion will also appear with the intrinsic decoherence, but the amplitude of the Rabi oscillation will be reduced to zero with the evolution of the time.

Chinese Journal of Quantum Electronics•Jan 1, 2007•0 citations
The atomic inversion dynamics in the mode-mode competing system is studied by means of fully quantum theory. A general solution to the Schrodinger equation of this system is obtained. The influence of the relative competing strength between the atom and the two-mode field on the atomic inversion is disccussed. We show that the presence of the mode-mode competition can result in periodical collapses-revivals of the atomic inversion.
The atomic dynamical properties in the system with competing k -photon and l -photon transitions are studied fully by means of quantum theory. We discuss the influences of the mode–mode competition, the relative competing strengths of the atom and the two-mode field and the initial state of the system on the atomic dynamics. We show that the presence of the mode–mode competition can result in quite a periodical collapses-revivals of the atomic inversion and the increase of the initial photons of the system can lead to the collapse–revival phenomenon and prolong the revival time of the atomic inversion.
We report on the phenomena of the periodic spontaneous collapse and revival in the dynamics of an atomic beam interacting with a single-mode and coherent-state light field. Conventional collapse and revival by Eberly et al. [ Phys. Rev. Lett. 44 (1980) 1323 ] are presented in the case of the evolution with time of the population inversion. Here, we study the evolution with coupling strength of population inversion. We define the collapse and revival coupling strengths as characteristic parameters to describe the above collapse and revival. Furthermore, we present the analytic formulas for the population inversion, the collapse and revival coupling strengths.
In the preceding chapters concerning the interaction of a radiation field with matter, we assumed the field to be classical. In many situations this assumption is valid. There are, however, many instances where a classical field fails to explain experimentally observed results and a quantized description of the field is required. This is, for example, true of spontaneous emission in an atomic system which was described phenomenologically in Chapter 5. For a rigorous treatment of the atomic level decay in free space, we need to consider the interaction of the atom with the vacuum modes of the universe. Even in the simplest system involving the interaction of a single-mode radiation field with a single two-level atom, the predictions for the dynamics of the atom are quite different in the semiclassical theory and the fully quantum theory. In the absence of the decay process, the semiclassical theory predicts Rabi oscillations for the atomic inversion whereas the quantum theory predicts certain collapse and revival phenomena due to the quantum aspects of the field. These interesting quantum field theoretical predictions have been experimentally verified. In this chapter we discuss the interaction of the quantized radiation field with the two-level atomic system described by a Hamiltonian in the dipole and the rotating-wave approximations. For a single-mode field it reduces to a particularly simple form. This is a very interesting Hamiltonian in quantum optics for several reasons. First, it can be solved exactly for arbitrary coupling constants and exhibits some true quantum dynamical effects such as collapse followed by periodic revivals of the atomic inversion.
The atomic population inversion in the system of a two-mode SU(1,1) coherent field interacting with a two-level atom is investigated by solving Milburn equation. The effects on the atomic population inversion induced by the intrinsic decoherence, the two-mode photon number and the mean photon number are analyzed. The results show that the collapse and revival phenomena of the atomic population inversion will appear when the two- mode photon number is not zero and will disappear gradually with the decrease of the mean photon number. The collapse and revival phenomena of the atomic population inversion will also appear with the intrinsic decoherence, but the amplitude of the Rabi oscillation will be reduced to zero with the evolution of the time.