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

Light forces on moving atom in micro-cavity

Cai-Ying Ding, Lei Tan, Liwei Liu, Yan Xu, 兰州大学理论物理研究所，兰州 730000

Published Jan 1, 2008• 1 citation
Publisher

Abstract

Optical forces on moving atom were investigated in micro-cavity using fully quantum theory. In terms of the models of moving atom interacting with micro-cavity field, using algebraic dynamics method, the Hamiltonian can be diagonalized by introducing a canonical transformation. The expression of evolution operator of the system and reduced density operators are calculated straightforwardly. Analytical expressions for the forces are obtained, and the forces are discussed for a traveling-wave field and a standing-wave field respectively.

DOI
10.7498/aps.57.5612

Related papers

Algebraic Structure and Analytic Solutions of a Moving V-Type Three-Level Atom Interacting with a Two-Mode Cavity Field

Cuiling Zhang, Rui Dang, Jiali Zhang

In the framework of algebraic dynamics, the dynamics of a V-type three-level atom interacting with a two-mode of the quantized cavity field is considered with atomic center-of-mass motion included. The general analytical expressions for the linearized Hamiltonian and the reduced density operator are derived, which can be used to calculate the expectation values of any system operators. As an illustration, analytical expressions for the optical forces are obtained.

Chinese Journal of Physics•Dec 1, 2013•0 citations

Quantum theory of a micromaser operating on the atomic scattering from a resonant standing wave

Farhan Saif, Fam Le Kien, Muhammad Suhail Zubairy

We study the amplification of a resonant standing-wave light field due to the interaction with a beam of monovelocity two-level atoms moving in the Raman-Nath regime and in the Bragg regime. The atomic density is low so that, at most, one atom is inside the cavity at a time. This system is very similar to the well-known micromaser but it is operating in the optical region of the field frequencies. Therefore, the situation corresponds to a microlaser. Unlike the micromaser system, the momentum transfer between the atoms and photons in the microlaser essentially effects the center-of-mass motion of the atoms and the evolution of the field.

Physical Review A•Sep 18, 2001•13 citations

Motion of Atoms in a Laser Field

Z. Ficek, Mohamed Ridza Wahiddin

In quantum optical problems involving the interaction of atoms with laser fields, the atoms are usually considered being stationary during the interaction. Since every photon has a momentum, the atomic momentum (motion) can be changed in the process of absorption and emission of photons. This may force a stationary atom to move or to change momentum of an already moving atom. Therefore, the dynamical behaviour of atoms can be varied by the interaction with a radiation field. For a weak driving field, the influence of this field on the atomic motion can be neglected. However, the intensities of laser fields are generally very strong, and then the motion of the atoms can be considerably changed by the laser field. Here, we discuss this aspect, especially the effect of a driving field on the motion of atoms and the atomic momentum distribution. In particular, we will consider diffraction of atoms by a standing-wave laser field due to an exchange of momentum with the photons of the wave, and radiation force on atoms driven by a running-or standing-wave laser field.

•Apr 19, 2016•0 citations

Radiation force on a moving atomin a bichromatical laser field

Yuzhu Wang

The radiation force on a moving atom in a bichromatical travelling field is investigated in this paper. The relation of the atomic stimulated transition rate and the radiation force on the atom with its velocity in a bichromatical travelling wave is obtained by numberical calculation. Compared with that in a monochromatical travelling or a standing wave, the result in the bichromatical field have its own character, which is useful in the investigation of laser cooling of neutral atoms, selection of atomic velocity and atomic mometum diffusion.

Acta Optica Sinica•Jan 1, 1993•0 citations

Theory of a single-atom laser including light forces

Thomas Salzburger, P. Domokos, Helmut Ritsch

We study a single incoherently pumped atom moving within an optical high-$Q$ resonator in the strong-coupling regime. Using a semiclassical description for the atom and field dynamics, we derive a closed system of differential equations to describe this coupled atom-field dynamics. For sufficiently strong pumping, the system starts lasing when the atom gets close to a field antinode, and the associated light forces provide for self-trapping of the atom. For a cavity mode blue detuned with respect to the atomic transition frequency, this is combined with cavity-induced motional cooling, allowing for long-term steady-state operation of such a laser. The analytical results for temperature and field statistics agree well with our earlier predictions based on quantum Monte Carlo simulations. We find sub-Doppler temperatures that decrease with gain and coupling strength, and can even go beyond the limit of passive cavity cooling. Besides demonstrating the importance of light forces in single-atom lasers, this result also gives strong evidence to enhance laser cooling through stimulated emission in resonators.

arXiv:quant-ph/0504094•Physical Review A•Sep 8, 2005•14 citations

Exact results on cavity cooling in a system of a two-level atom and a cavity field

Yuqing Zhang, Lei Tan, Zhu Zhong-Hua +1 more

Using the algebraic dynamical method, this paper investigates the laser cooling of a moving two-level atom coupled to a cavity field. Analytical solutions of optical forces and the cooling temperatures are obtained. Considering Rb atoms as an example, it finds that the numerical results are relevant to the recent experimental laser cooling investigations.

Chinese Physics B•Mar 1, 2010•1 citation
Optical forces on moving atom were investigated in micro-cavity using fully quantum theory. In terms of the models of moving atom interacting with micro-cavity field, using algebraic dynamics method, the Hamiltonian can be diagonalized by introducing a canonical transformation. The expression of evolution operator of the system and reduced density operators are calculated straightforwardly. Analytical expressions for the forces are obtained, and the forces are discussed for a traveling-wave field and a standing-wave field respectively.
We study the amplification of a resonant standing-wave light field due to the interaction with a beam of monovelocity two-level atoms moving in the Raman-Nath regime and in the Bragg regime. The atomic density is low so that, at most, one atom is inside the cavity at a time. This system is very similar to the well-known micromaser but it is operating in the optical region of the field frequencies. Therefore, the situation corresponds to a microlaser. Unlike the micromaser system, the momentum transfer between the atoms and photons in the microlaser essentially effects the center-of-mass motion of the atoms and the evolution of the field.
In quantum optical problems involving the interaction of atoms with laser fields, the atoms are usually considered being stationary during the interaction. Since every photon has a momentum, the atomic momentum (motion) can be changed in the process of absorption and emission of photons. This may force a stationary atom to move or to change momentum of an already moving atom. Therefore, the dynamical behaviour of atoms can be varied by the interaction with a radiation field. For a weak driving field, the influence of this field on the atomic motion can be neglected. However, the intensities of laser fields are generally very strong, and then the motion of the atoms can be considerably changed by the laser field. Here, we discuss this aspect, especially the effect of a driving field on the motion of atoms and the atomic momentum distribution. In particular, we will consider diffraction of atoms by a standing-wave laser field due to an exchange of momentum with the photons of the wave, and radiation force on atoms driven by a running-or standing-wave laser field.
The radiation force on a moving atom in a bichromatical travelling field is investigated in this paper. The relation of the atomic stimulated transition rate and the radiation force on the atom with its velocity in a bichromatical travelling wave is obtained by numberical calculation. Compared with that in a monochromatical travelling or a standing wave, the result in the bichromatical field have its own character, which is useful in the investigation of laser cooling of neutral atoms, selection of atomic velocity and atomic mometum diffusion.
We study a single incoherently pumped atom moving within an optical high-QQQ resonator in the strong-coupling regime. Using a semiclassical description for the atom and field dynamics, we derive a closed system of differential equations to describe this coupled atom-field dynamics. For sufficiently strong pumping, the system starts lasing when the atom gets close to a field antinode, and the associated light forces provide for self-trapping of the atom. For a cavity mode blue detuned with respect to the atomic transition frequency, this is combined with cavity-induced motional cooling, allowing for long-term steady-state operation of such a laser. The analytical results for temperature and field statistics agree well with our earlier predictions based on quantum Monte Carlo simulations. We find sub-Doppler temperatures that decrease with gain and coupling strength, and can even go beyond the limit of passive cavity cooling. Besides demonstrating the importance of light forces in single-atom lasers, this result also gives strong evidence to enhance laser cooling through stimulated emission in resonators.