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

Chinese journal of atomic and molecular physics

Correlation between the atomic translational motion and its internal state population for the intensity-dependent coupling

Yougen Yi

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The influence of the atomic internal state population on its translational motion in a quantized standing-wave cavity field with spatial periodic structure is investigated for the intensity-dependent coupling case.On the basis of resonance interaction between the atom and the cavity field and with the aid of the atomic-field dressed state,the Schrodinger equations satisfied by the atomic translational motion for the two different atomic dressed internal states are built and their general relation for a spatial periodic cavity field is obtained.And under an appropriate approximation,the state vector of the whole system is derived and allows us to study the interaction between the atomic internal state and its translational dynamics.It is found that the scalar product of the translational motion wave functions in Hilbert space determines the atomic internal state population,as well as,the distortion of the atomic translational motion wave-packet is sensitivity to its initial internal state population for a quantized standing-wave cavity field at coherent state.

Related papers

THE STATE VETORS OF THE WHOLE SYSTEM ON THE DRESSED STATE ATOM IN A QUANTIZED STANDING-WAVE CAVITY FIELD

Duzhi Huang

On the basis of resonance interaction between the atom and the cavity field and with aid of the atomic-field dressed state,the schrdinger equations satisfied by the atomic translational motion for two different atomic dressed internal states were built and under an appropriate approximation,the state vector of the whole system was derived and the interaction was studied.

Journal of Hunan University of Arts and Science•Jan 1, 2003•0 citations

Evolvement of the Atomic Translational Motion Wave Functions and Internal State Population in High Q-cavity

Tang Jing

On the basis of resonance interaction between the atcm and the cavity field and with aid of the atomic - field dressed state,the influence between the atomic internal state population and cuantized translational motion in a quantized standing - wave cavity was discussed.Specially,when the atom was at the superpositions of two internal state equal weight same phase, the translational motion wave function presented the very stable characteristics.

•Jan 1, 2004•0 citations

Correlation between the quantized translational motion and atomic internal state population in high Q-cavity

Tang Jing-wu

In this paper,their interaction between the two-level atomic quantized translational motion and internal state population in a quantized standing-wave cavity are studied. It is found that the atomic quantized translational motion sensitively depends on the atomic internal state population .

Journal of Hunan University of Science & Technology•Jan 1, 2002•0 citations

Correlations between Rabi oscillations and atomic translational dynamics

Alessandro Vaglica

We analyze some aspects of the internal and translational dynamics of a two-level atom interacting with a resonant standing wave of an ideal cavity. We show that the cavity vacuum field can split the incoming wave packet of the excited two-level atom into two parts, whose scalar product in the Hilbert space determines the behavior of the Rabi oscillations. The state of the whole system is derived and allows us to study the correlations between the internal and the translational atomic dynamics. We find that these correlations become negligible when the two parts are sufficiently away from each other in the space.

Physical Review A•Nov 1, 1998•19 citations

Random walking of a two-level atom in a standing-wave field

V. Yu. Sirotkin, Sergey V. Prants

We study the coupled translational and internal dynamics of a two-level atom in a spatially periodic optical potential created by a single-mode field in a high-finesse Fabry-Perot cavity. The strongly-coupled atom-cavity system with atomic center-of-mass motion included in modeled by semiclassical nonlinear Heisenberg equations of motion with two degrees of freedom. At exact resonance between the internal atomic transition and the cavity eigen frequency, the internal and translational degrees of freedom are separated from each other resulting in periodically modulated Rabi oscillations and regular translational motion. Near the atom-field resonance, the coupled dynamics is found to be irregular and even chaotic in the sense of external sensitivity to initial conditions. It is manifested as a chaotic motion of an atom in an absolutely regular spatially periodic potential in the absence of any random fluctuations. This effect may be explained as a result of the interaction of nonlinear resonances in the atom-field nonlinear pendulum whose low- frequency translational motion is modulated by the high- frequency Rabi oscillations. The irregular motion is studied in detail in numerical experiments using the arsenal of methods of the dynamical systems theory. The results obtained are compared with recent experiments with ultra cold single atoms interacting with single photons in the strong-coupling regime. We estimate the ranges of the system's control parameters, the detuning, the recoil frequency, and the mean number of intracavity photons, in which the interaction of nonlinear resonances may lead, under realistic conditions, to local instability of the center-of-mass motion and some manifestations of dynamical chaos, the effect which is of interest in studying the quantum-classical correspondence and quantum chaos in atomic optics.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 3, 2002•1 citation

Effects of the Rabi oscillations on the atomic motion in a standing-wave cavity

Sergey V. Prants, V. Yu. Sirotkin

We study the coupled translational and internal dynamics of a two-level atom in a spatially periodic optical potential created by a single-mode field in a high-finesse Fabry-Perot cavity. The strongly coupled atom-cavity system with atomic center-of-mass motion included is modeled by semiclassical nonlinear Heisenberg equations of motion with two degrees of freedom. At exact resonance between the internal atomic transition and the cavity eigenfrequency, the internal and translational degrees of freedom are separated from each other resulting in periodically modulated Rabi oscillations and regular translational motion. Near the atom-field resonance, the coupled dynamics is found to be irregular and even chaotic in the sense of extremal sensitivity to initial conditions. It is manifested as a chaotic motion of an atom in an absolutely regular spatially periodic potential in the absence of any random fluctuations. This effect may be explained as a result of the interaction of nonlinear resonances in the atom-field nonlinear pendulum whose low-frequency translational motion is modulated by the high-frequency Rabi oscillations. The irregular motion is studied in detail in numerical experiments using the arsenal of methods of the dynamical systems theory. The results obtained are compared with recent experiments with ultracold single atoms interacting with single photons in the strong-coupling regime. We estimate the ranges of the system's control parameters, the detuning, the recoil frequency, and the mean number of intracavity photons, in which the interaction of nonlinear resonances may lead, under realistic conditions, to local instability of the center-of-mass motion and some manifestations of dynamical chaos, which is the effect of interest in studying the quantum-classical correspondence and quantum chaos in atomic optics.

Physical Review A•Aug 13, 2001•36 citations
The influence of the atomic internal state population on its translational motion in a quantized standing-wave cavity field with spatial periodic structure is investigated for the intensity-dependent coupling case.On the basis of resonance interaction between the atom and the cavity field and with the aid of the atomic-field dressed state,the Schrodinger equations satisfied by the atomic translational motion for the two different atomic dressed internal states are built and their general relation for a spatial periodic cavity field is obtained.And under an appropriate approximation,the state vector of the whole system is derived and allows us to study the interaction between the atomic internal state and its translational dynamics.It is found that the scalar product of the translational motion wave functions in Hilbert space determines the atomic internal state population,as well as,the distortion of the atomic translational motion wave-packet is sensitivity to its initial internal state population for a quantized standing-wave cavity field at coherent state.
We analyze some aspects of the internal and translational dynamics of a two-level atom interacting with a resonant standing wave of an ideal cavity. We show that the cavity vacuum field can split the incoming wave packet of the excited two-level atom into two parts, whose scalar product in the Hilbert space determines the behavior of the Rabi oscillations. The state of the whole system is derived and allows us to study the correlations between the internal and the translational atomic dynamics. We find that these correlations become negligible when the two parts are sufficiently away from each other in the space.
We study the coupled translational and internal dynamics of a two-level atom in a spatially periodic optical potential created by a single-mode field in a high-finesse Fabry-Perot cavity. The strongly-coupled atom-cavity system with atomic center-of-mass motion included in modeled by semiclassical nonlinear Heisenberg equations of motion with two degrees of freedom. At exact resonance between the internal atomic transition and the cavity eigen frequency, the internal and translational degrees of freedom are separated from each other resulting in periodically modulated Rabi oscillations and regular translational motion. Near the atom-field resonance, the coupled dynamics is found to be irregular and even chaotic in the sense of external sensitivity to initial conditions. It is manifested as a chaotic motion of an atom in an absolutely regular spatially periodic potential in the absence of any random fluctuations. This effect may be explained as a result of the interaction of nonlinear resonances in the atom-field nonlinear pendulum whose low- frequency translational motion is modulated by the high- frequency Rabi oscillations. The irregular motion is studied in detail in numerical experiments using the arsenal of methods of the dynamical systems theory. The results obtained are compared with recent experiments with ultra cold single atoms interacting with single photons in the strong-coupling regime. We estimate the ranges of the system's control parameters, the detuning, the recoil frequency, and the mean number of intracavity photons, in which the interaction of nonlinear resonances may lead, under realistic conditions, to local instability of the center-of-mass motion and some manifestations of dynamical chaos, the effect which is of interest in studying the quantum-classical correspondence and quantum chaos in atomic optics.
We study the coupled translational and internal dynamics of a two-level atom in a spatially periodic optical potential created by a single-mode field in a high-finesse Fabry-Perot cavity. The strongly coupled atom-cavity system with atomic center-of-mass motion included is modeled by semiclassical nonlinear Heisenberg equations of motion with two degrees of freedom. At exact resonance between the internal atomic transition and the cavity eigenfrequency, the internal and translational degrees of freedom are separated from each other resulting in periodically modulated Rabi oscillations and regular translational motion. Near the atom-field resonance, the coupled dynamics is found to be irregular and even chaotic in the sense of extremal sensitivity to initial conditions. It is manifested as a chaotic motion of an atom in an absolutely regular spatially periodic potential in the absence of any random fluctuations. This effect may be explained as a result of the interaction of nonlinear resonances in the atom-field nonlinear pendulum whose low-frequency translational motion is modulated by the high-frequency Rabi oscillations. The irregular motion is studied in detail in numerical experiments using the arsenal of methods of the dynamical systems theory. The results obtained are compared with recent experiments with ultracold single atoms interacting with single photons in the strong-coupling regime. We estimate the ranges of the system's control parameters, the detuning, the recoil frequency, and the mean number of intracavity photons, in which the interaction of nonlinear resonances may lead, under realistic conditions, to local instability of the center-of-mass motion and some manifestations of dynamical chaos, which is the effect of interest in studying the quantum-classical correspondence and quantum chaos in atomic optics.