Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica

A two-level atom in a cavity with a moving mirror

Qu Zhao-Jun, Liu Sheng-dian, Chuan‐Lu Yang, Xiao‐Guang Ma, 烟台师范学院物理系,烟台 264000

Published Jan 1, 2006• 3 citations
Publisher

Abstract

It has great meaning to study the effect of a moving mirror in a cavity on the dynamic behavior of a two-level atom injected in the cavity. In this paper, for a system composed of a two-level injected atom and a single-mode field and a moving mirror in the cavity (the moving mirror to be regarded as a quantum harmonic oscillator with frequency ωm), the time-evolution of its state is obtained by means of complete quantum theory in the interaction picture. The time-evolution of the atomic population is derived on the basis of former investigations. It is found that the atomic population oscillates near its initial value. The result shows that the periodic motion of the mirror has a periodic effect on the atomic population.

DOI
10.7498/aps.55.3393

Related papers

Preparation of Schrdinger cat states in a cavity with a moving mirror

Xiao‐Guang Ma

For a system composed of a cavity with a movable mirror(treated as a quantum harmonic oscillator with frequency ωm) and a single mode field in the cavity,the time evolution operator of the system is given,which is obtained by means of full quantum theory in the Schrdinger picture. The result shows that the state of the cavity field at the moment can give a variety of multicomponent Schrdinger cat states when the mirror returns to its original state,which are different from those in the published literature,and the desired Schrdinger cat state can be chosen by adjusting the frequency of the single mode cavity field.

College Physics•Jan 1, 2009•0 citations

Time-evolution of the population of a four-level atom in a two-mode cavity

Chuan‐Lu Yang

The time-evolution of the state of the system consisting of the cavity modes with an injected four-level atom ()~(40)Ca in a two-mode cavity is solved by means of the perturbation method in the interaction picture. The reduced atomic density operator and the time-evolution of the atomic population are derived on the basis of the above solving, which is useful for further research on the atomic dynamic behavior in the cavity field.

College Physics•Jan 1, 2004•0 citations

Evolution of wave fields and atom-field interactions in a cavity with one oscillating mirror

Maciej Janowicz

In this paper the dynamics of wave fields in a cavity with one sinusoidally moving mirror are investigated. The wave equation is solved approximately using the method of multiple time scales. Frequency shifts as well as amplitude and phase modulations of cavity modes are given. In all cases when it is possible, an approximate effective field Hamiltonian operator is derived. In the adiabatic case it is then used to analyze the interaction of radiation with a two-level atom passing through the cavity. Corrections to the Rabi oscillations due to the time-dependent frequency of the cavity photons are investigated. It is shown that adiabatic motion of a mirror can lead to suppression of the Rabi oscillations of atomic inversion.

Physical Review A•Jun 1, 1998•38 citations

Dynamics of Two-Level Atom with Moving Mass Center Considering the Multiphoton Transitions

Yi Xue-Xi

We study the effect of moving mass center on atomic dynamics for various initial conditions, and the two-level atom coupled locally in inhomogeneous cavity to a near-resonant single-mode quantized field and the atomic levels are coupled by the multiphoton transitions. Our study shows that, the Doppler effect exercised by the motion of atom can lead to the modified phenomenon of oscillation collapse and revival in the atomic population inversion at the beginning of evolution.

Communications in Theoretical Physics•Sep 15, 1996•1 citation

Photon emission from a two-level atom moving in a cavity

A. V. Kozlovskiĭ

The interaction of a two-level atom uniformly moving along a classical trajectory with a high-Q cavity quantum mode is analyzed. The dressed-state method is used to derive a recurrence formula for the transition probability of the atom with photon emission; the temporal dynamics of this probability qualitatively depends on the Doppler shift of the atomic transition frequency, on the Rabi frequency of the atom-field system, and on the detuning of the atomic transition frequency from the field mode frequency. The emission dynamics of a moving atom is very sensitive to the detuning. Rabi-type oscillations with a frequency equal to the Doppler shift can arise under certain conditions. At resonance, the emission probability of a moving atom can considerably exceed the emission probability of an atom at rest. A plane-parallel-mirror cavity and a confocal spherical-mirror cavity are considered. It is shown that the peculiarities of Doppler-Rabi oscillations must be taken into account in micromaser theory.

Journal of Experimental and Theoretical Physics•Sep 1, 2001•1 citation

Preparation of Schr dinger cat states in a cavity with medium and a moving mirror

Qu Zhao-Jun, Liu Sheng-dian, Chuan‐Lu Yang +1 more

For a system composed of a cavity with Kerr medium, a movable mirror (treated as a quantum harmonic oscillator with frequencyω_m and a single mode field in the cavity, the time evolution operator and its transformation of the system are given. Time evolution of the system state is obtained with full quantum theory. State of the cavity field at the time of the mirror back to its original state is discussed, and a variety of multicomponent Schrdinger cat states which are different from those in the published literature are obtained, which is significant for the investigation of the nature and applications of the Schrdinger cat states.

Chinese Journal of Quantum Electronics•Jan 1, 2010•0 citations
It has great meaning to study the effect of a moving mirror in a cavity on the dynamic behavior of a two-level atom injected in the cavity. In this paper, for a system composed of a two-level injected atom and a single-mode field and a moving mirror in the cavity (the moving mirror to be regarded as a quantum harmonic oscillator with frequency ωm), the time-evolution of its state is obtained by means of complete quantum theory in the interaction picture. The time-evolution of the atomic population is derived on the basis of former investigations. It is found that the atomic population oscillates near its initial value. The result shows that the periodic motion of the mirror has a periodic effect on the atomic population.
For a system composed of a cavity with a movable mirror(treated as a quantum harmonic oscillator with frequency ωm) and a single mode field in the cavity,the time evolution operator of the system is given,which is obtained by means of full quantum theory in the Schrdinger picture. The result shows that the state of the cavity field at the moment can give a variety of multicomponent Schrdinger cat states when the mirror returns to its original state,which are different from those in the published literature,and the desired Schrdinger cat state can be chosen by adjusting the frequency of the single mode cavity field.
In this paper the dynamics of wave fields in a cavity with one sinusoidally moving mirror are investigated. The wave equation is solved approximately using the method of multiple time scales. Frequency shifts as well as amplitude and phase modulations of cavity modes are given. In all cases when it is possible, an approximate effective field Hamiltonian operator is derived. In the adiabatic case it is then used to analyze the interaction of radiation with a two-level atom passing through the cavity. Corrections to the Rabi oscillations due to the time-dependent frequency of the cavity photons are investigated. It is shown that adiabatic motion of a mirror can lead to suppression of the Rabi oscillations of atomic inversion.
The interaction of a two-level atom uniformly moving along a classical trajectory with a high-Q cavity quantum mode is analyzed. The dressed-state method is used to derive a recurrence formula for the transition probability of the atom with photon emission; the temporal dynamics of this probability qualitatively depends on the Doppler shift of the atomic transition frequency, on the Rabi frequency of the atom-field system, and on the detuning of the atomic transition frequency from the field mode frequency. The emission dynamics of a moving atom is very sensitive to the detuning. Rabi-type oscillations with a frequency equal to the Doppler shift can arise under certain conditions. At resonance, the emission probability of a moving atom can considerably exceed the emission probability of an atom at rest. A plane-parallel-mirror cavity and a confocal spherical-mirror cavity are considered. It is shown that the peculiarities of Doppler-Rabi oscillations must be taken into account in micromaser theory.
For a system composed of a cavity with Kerr medium, a movable mirror (treated as a quantum harmonic oscillator with frequencyω_m and a single mode field in the cavity, the time evolution operator and its transformation of the system are given. Time evolution of the system state is obtained with full quantum theory. State of the cavity field at the time of the mirror back to its original state is discussed, and a variety of multicomponent Schrdinger cat states which are different from those in the published literature are obtained, which is significant for the investigation of the nature and applications of the Schrdinger cat states.