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

Modern Physics Letters B

SPONTANEOUS EMISSION BY MOVING ATOMS UNDERGOING TWO PHOTON-TRANSITION IN THE STRONG COUPLING REGIME

Amitabh Joshi

Published Aug 20, 1996• 0 citations
Publisher

Abstract

The dependence of spontaneous emission on atomic motion for an atom undergoing two-photon transition and moving along the axis of a Fabry-Perot cavity is analyzed here. For this purpose we consider the strong coupling limit of atom and cavity field mode and demonstrate the effects of atomic velocity and spatial mode structure of cavity mode on the excitation probability of atom.

DOI
10.1142/s0217984996001012

Related papers

Spontaneous emission in a Fabry-Pérot cavity: The effects of atomic motion

Martin Wilkens, Z. Bial ynicka-Birula, Pierre Meystre

We show that the spontaneous emission of a moving atom inside a cavity is modified by two different mechanisms. The first one is a Doppler-induced detuning of the cavity line that leads to observable changes in the spontaneous emission rate for atomic velocities in excess of a characteristic velocity ${\mathit{v}}_{\mathrm{cav}}$=c/Q, Q being the quality factor of the cavity. In addition, spatial mode effects can lead to a temporal modulation of the exponential decay rate. This modulation is observable for velocities that do not exceed another characteristic velocity ${\mathit{v}}_{\mathrm{mod}}$ which is typically several orders of magnitude smaller than ${\mathit{v}}_{\mathrm{cav}}$.

Physical Review A•Jan 1, 1992•41 citations

Spontaneous emission in a standing-wave cavity: Classical center-of-mass motion

W. Ren, James D. Cresser, H. J. Carmichael

We present a nonperturbative result for the spectrum of spontaneous photons emitted by an atom coupled on resonance to a standing-wave cavity mode. Motion of the atom through the standing-wave mode function is included in a classical way. We discuss the form of the spectrum as a function of the velocity of the atom in the limit of strong dipole coupling. For slow atoms the normal-mode doublet (``vacuum'' Rabi spectrum) survives with small changes. The motion of a fast atom through the standing wave averages the coupling constant to zero, and the spectrum reverts to a single peak. At intermediate velocities the spectrum has a complicated multipeaked structure that can be understood in terms of interfering probability amplitudes for different quantum-mechanical emission paths or as a frequency-modulation spectrum for radiating coupled oscillators.

Physical Review A•Dec 1, 1992•28 citations

Spontaneous emission in a Fabry–Perot cavity: frequency modulation and collective effects

Maciej Janowicz, Arkadiusz Orłowski, Jan Mostowski

The spontaneous emission of radiation from two two-level atoms in a Fabry–Perot cavity is considered. The transition frequency of the atoms is assumed to be modulated. It is shown that the frequency modulation leads to radical change of the spontaneous emission dynamics, including the decoherence properties of the entangled atomic states. Two ingredients are necessary in order to achieve this. Firstly, the modulation should be able to periodically detune the atoms from the resonance with the cavity. Secondly, the dynamics of spontaneous emission is efficiently modified if a resonant condition between the modulation frequency and modulation depth is fulfilled. Thus, frequency modulation can be used to dynamically control the collective effects in spontaneous emission in cavities.

Journal of Physics B Atomic Molecular and Optical Physics•Mar 10, 2008•3 citations

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

SPONTANEOUS EMISSION IN AN OPTICAL CAVITY WITH OUTPUT COUPLING

Kikuo Ujihara

Enhancement or suppression of spontaneous emission by the presence of a cavity has been a subject of numerous papers [1]. The effective number of radiation modes was estimated in terms of the cavity Q. Sachdev [2] has improved on this by an exact quantum Langevin treatment of a lossy, single-mode cavity and predicted a vacuum Rabi oscillation for high-Q cavities. Cook et al. [3] included retardation effects by incorporating multiple Fabry-Perot modes and treated the coupling loss by a heuristic introduction of the mirror reflectivity. The present author [4] has considered the same problem in perturbation and Wigner-Weisskopf approximations by use of a set of continuously distributed radiation modes which describes a cavity having output coupling.

•Jul 18, 1988•1 citation

NONPERTURBATIVE THEORY OF CAVITY-CONTROLLED SPONTANEOUS EMISSION OF TWO LEVEL ATOM

Vladislav Cheltsov

Cavity-controlled spontaneous emission spectrum of two level atom coupled to two lossless symmetrically detuned modes has been found rigorously to be a function of the system's energy eigenvalues and displays triplet, doublet or single form depending on detuning, natural linewidth and coupling constant.

Modern Physics Letters B•Oct 20, 1995•2 citations
The dependence of spontaneous emission on atomic motion for an atom undergoing two-photon transition and moving along the axis of a Fabry-Perot cavity is analyzed here. For this purpose we consider the strong coupling limit of atom and cavity field mode and demonstrate the effects of atomic velocity and spatial mode structure of cavity mode on the excitation probability of atom.
We show that the spontaneous emission of a moving atom inside a cavity is modified by two different mechanisms. The first one is a Doppler-induced detuning of the cavity line that leads to observable changes in the spontaneous emission rate for atomic velocities in excess of a characteristic velocity vcav{\mathit{v}}_{\mathrm{cav}}vcav​=c/Q, Q being the quality factor of the cavity. In addition, spatial mode effects can lead to a temporal modulation of the exponential decay rate. This modulation is observable for velocities that do not exceed another characteristic velocity vmod{\mathit{v}}_{\mathrm{mod}}vmod​ which is typically several orders of magnitude smaller than vcav{\mathit{v}}_{\mathrm{cav}}vcav​.
We present a nonperturbative result for the spectrum of spontaneous photons emitted by an atom coupled on resonance to a standing-wave cavity mode. Motion of the atom through the standing-wave mode function is included in a classical way. We discuss the form of the spectrum as a function of the velocity of the atom in the limit of strong dipole coupling. For slow atoms the normal-mode doublet (``vacuum'' Rabi spectrum) survives with small changes. The motion of a fast atom through the standing wave averages the coupling constant to zero, and the spectrum reverts to a single peak. At intermediate velocities the spectrum has a complicated multipeaked structure that can be understood in terms of interfering probability amplitudes for different quantum-mechanical emission paths or as a frequency-modulation spectrum for radiating coupled oscillators.
The spontaneous emission of radiation from two two-level atoms in a Fabry–Perot cavity is considered. The transition frequency of the atoms is assumed to be modulated. It is shown that the frequency modulation leads to radical change of the spontaneous emission dynamics, including the decoherence properties of the entangled atomic states. Two ingredients are necessary in order to achieve this. Firstly, the modulation should be able to periodically detune the atoms from the resonance with the cavity. Secondly, the dynamics of spontaneous emission is efficiently modified if a resonant condition between the modulation frequency and modulation depth is fulfilled. Thus, frequency modulation can be used to dynamically control the collective effects in spontaneous emission in cavities.
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.
Enhancement or suppression of spontaneous emission by the presence of a cavity has been a subject of numerous papers [1]. The effective number of radiation modes was estimated in terms of the cavity Q. Sachdev [2] has improved on this by an exact quantum Langevin treatment of a lossy, single-mode cavity and predicted a vacuum Rabi oscillation for high-Q cavities. Cook et al. [3] included retardation effects by incorporating multiple Fabry-Perot modes and treated the coupling loss by a heuristic introduction of the mirror reflectivity. The present author [4] has considered the same problem in perturbation and Wigner-Weisskopf approximations by use of a set of continuously distributed radiation modes which describes a cavity having output coupling.