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

Europhysics Letters (EPL)

Quasi-Stationary States in the Case of Two-Level Atoms Interacting with a Damped Fock-State Field inside a Cavity

JOSIP SEKE

Published Jun 1, 1988• 0 citations
Publisher

Abstract

An exact recurrence equation of motion for density matrix elements is derived for an assembly of N atoms interacting with a damped Fock-state radiation field inside a cavity. The numerical solutions show the appearance of new quasi-stationary states.
DOI
10.1209/0295-5075/6/3/005

Related papers

Influence of the Fock-state field on the many-atom radiation processes in a damped cavity

JOSIP SEKE, Frank Rattay

Radiation effects from two-level atoms caused by the presence of a Fock-state field in a damped single-mode cavity are examined. An exact recurrence differential equation for density-matrix elements valid for any number of atoms or photons is derived. Numerical solutions for different cavity dampings (low- and high-Q cavities) and different photon numbers of the Fock-state field being present initially in the cavity are presented. Collective effects caused by the presence of many atoms are investigated. It is shown that new quasistationary states as well as collective radiation inhibition appear in the time behavior of the atomic energy expectation value. These effects arise from averaging over an ensemble of which each member consists of N identical two-level atoms placed into a resonant single-mode cavity. A comparison of the obtained results with those for an initial coherent or thermal field is also given.

Physical Review A•Jan 1, 1989•33 citations

Exact Equations of Motion for Density-matrix Elements and Numerical Results for Many-atom Spontaneous Emission in a Damped Cavity

JOSIP SEKE, Frank Rattay

An exact closed set of first-order linear differential equations for density-matrix elements, expressible in terms of a simple recurrence equation, is derived. This recurrence equation makes possible numerical calculations for a larger number N of atoms and arbitrary cavity damping in the case of spontaneous emission. For the first time, numerical results are presented for N = 3 10 and 18 in the case of high-Q cavities. A comparison with the approximate calculations of Bonifacio et al. is also given for low-Q cavities.

Journal of Modern Optics•May 1, 1987•3 citations

Exact Equations of Motion and Numerical Results for Two-atom Spontaneous Emission in a Damped Cavity

JOSIP SEKE, G. Adam, Otto Hittmaır

By using a new technique developed recently, exact closed equations of motion for expectation values for the spontaneous emission from two two-level atoms in a resonant damped cavity are derived. These equations are solved numerically for different values of the cavity damping. Moreover, different atom and field fluctuations are calculated numerically. A comparison is made with results obtained by Bonifacio, Schwendimann and Haake in the case of strong damping.

Optica Acta International Journal of Optics•Jun 1, 1986•16 citations

N-atom spontaneous emission in a detuned damped cavity

JOSIP SEKE, Frank Rattay

An exact closed system of linear differential equations of the first order, which can be expressed by a simple recurrence equation, is derived for matrix elements of the statistical density operator. This exact recurrence equation opens the way for numerical solutions for collective many-atom spontaneous emission in cavities with arbitrary damping and detuning. For the first time to the authors’ knowledge, numerical results are presented for N = 10 and N = 15. Moreover, the influence of the cavity damping and detuning on the collective spontaneous emission is discussed. New effects, such as the suppression of the superfluorescent effects in strongly detuned cavities, are also pointed out.

Journal of the Optical Society of America B•Mar 1, 1987•12 citations

Collective dynamics of two three-level atoms in the finite-Q cavity

Eugene K. Bashkirov

On the basis of the master equation for the density matrix the dynamics of the collective spontaneous radiation of two Λ - type three-level atoms interacting with two modes of quantum electromagnetic field in the damped cavity has been considered. The behaviour of the photon numbers in modes has been investigated in the case when both atoms are in excited state at the initial time.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 20, 2004•0 citations

Quantum Theory of a Damped Two-Level Atom

Thomas Von Foerster

The interaction of a two-level atom with the radiation field in a cavity is discussed in quantum mechanical terms that are closely analogous to those used in discussing the classical Langevin equation; the quantum Langevin equation for this case, however, is nonlinear. A technique is developed for finding the measurable properties of the solution of the equations exactly; the properties of the solution are compared with those for the harmonic oscillator.

American Journal of Physics•Jun 1, 1972•17 citations
Radiation effects from two-level atoms caused by the presence of a Fock-state field in a damped single-mode cavity are examined. An exact recurrence differential equation for density-matrix elements valid for any number of atoms or photons is derived. Numerical solutions for different cavity dampings (low- and high-Q cavities) and different photon numbers of the Fock-state field being present initially in the cavity are presented. Collective effects caused by the presence of many atoms are investigated. It is shown that new quasistationary states as well as collective radiation inhibition appear in the time behavior of the atomic energy expectation value. These effects arise from averaging over an ensemble of which each member consists of N identical two-level atoms placed into a resonant single-mode cavity. A comparison of the obtained results with those for an initial coherent or thermal field is also given.
An exact closed set of first-order linear differential equations for density-matrix elements, expressible in terms of a simple recurrence equation, is derived. This recurrence equation makes possible numerical calculations for a larger number N of atoms and arbitrary cavity damping in the case of spontaneous emission. For the first time, numerical results are presented for N = 3 10 and 18 in the case of high-Q cavities. A comparison with the approximate calculations of Bonifacio et al. is also given for low-Q cavities.
An exact closed system of linear differential equations of the first order, which can be expressed by a simple recurrence equation, is derived for matrix elements of the statistical density operator. This exact recurrence equation opens the way for numerical solutions for collective many-atom spontaneous emission in cavities with arbitrary damping and detuning. For the first time to the authors’ knowledge, numerical results are presented for N = 10 and N = 15. Moreover, the influence of the cavity damping and detuning on the collective spontaneous emission is discussed. New effects, such as the suppression of the superfluorescent effects in strongly detuned cavities, are also pointed out.