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

Journal of Physics A Mathematical and General

Exactly solvable 3D model of resonance energy transfer

David J. Kaup, V. I. Rupasov

Published Nov 7, 1996• 9 citations
Publisher

Abstract

The dynamics of two atoms coupled to the vacuum radiation field is investigated within the framework of the resonance dipole approximation. The exact solution of the resonance energy transfer problem is obtained.
DOI
10.1088/0305-4470/29/21/022

Related papers

Exactly solvable one-dimensional model of resonance energy transfer

David J. Kaup, V. I. Rupasov

The dynamics of two atoms coupled to the vacuum radiation field is investigated within the framework of a one-dimensional model in the resonance dipole approximation. The exact solution of the resonance energy transfer problem is obtained. A many-atom generalization of the model is also discussed.

Journal of Physics A Mathematical and General•May 7, 1996•5 citations

Exact solution for energy transfer between radiators localized in separate coupled cavities

N. A. Enaki, Sergiu Bazgan

The transferred energy between two (three) radiators localized in two (three) cavities in interaction through an evanescent field is investigated. In the good-cavity limit the exact solution of the Schrödinger equation for this system is obtained. An interesting problem appears when the located excitation in one atom from one distinguished cavity is transferred to a second atom from another cavity. We analyze analytically and numerically the dynamics of the transferred energy as a function of the coupling constant between the cavities. Another interesting problem is the trapping condition for two atoms flying through different coupled cavities. For subsystems consisting of two atomic levels, we know that, only a dynamic trapping condition can be found. In this paper, we show that due to the coupling of the cavities, the trapping condition for two atoms flying through different cavities becomes possible. This effect depends on the coupling constants between the cavities and the dipole interaction between the radiators and cavity modes. A similar problem is studied in the bad-cavity limit, when the lifetime of photons in the cavity is smaller than the decay time of excited atoms. In this case, we write the analytical solution of the master equation and show its entanglement. We obtain that entangled states arise from non-entangled initial states of the atoms. The exact description of such a system opens up new possibilities for the processing of quantum information with two optical cavities.

Physica Scripta•Mar 1, 2013•2 citations

INTERACTION OF AN ATOM WITH A CAVITY RADIATION FIELD

Fam Le Kien, A.S. Shumovsky

We review the dynamical statistical theory of the interaction of an atom with a cavity radiation field in the framework of exactly solvable Jaynes-Cummings type models.

International Journal of Modern Physics B•Aug 20, 1991•23 citations

A Class of Quasi-exact Solutions of Rabi Hamiltonian

Feng Pan, Yao You-Kun, Mingxia Xie +2 more

A class of quasi-exact solutions of the Rabi Hamiltonian, which describes a two-level atom interacting with a single-mode radiation field via a dipole interaction without the rotating-wave approximation, are obtained by using a wavefunction ansatz. Exact solutions for part of the spectrum are obtained when the atom-field coupling strength and the field frequency satisfy certain relations. As an example, the lowest exact energy level and the corresponding atom-field entanglement at the quasi-exactly solvable point are calculated and compared to results from the Jaynes–Cummings and counter-rotating cases of the Rabi Hamiltonian.

Communications in Theoretical Physics•Jul 1, 2007•3 citations

Collision of two atoms in laser radiation field with formation of Feshbach resonances

E. A. Gazazyan, A. D. Gazazyan, V. O. Chaltykyan

The European Physical Journal D•Sep 1, 2013•2 citations

On the quantum theory of resonance scattering of atoms by light

A. P. Kazantsev, Gregory I. Surdutovich, Valery P. Yakovlev

•May 1, 1980•12 citations
The transferred energy between two (three) radiators localized in two (three) cavities in interaction through an evanescent field is investigated. In the good-cavity limit the exact solution of the Schrödinger equation for this system is obtained. An interesting problem appears when the located excitation in one atom from one distinguished cavity is transferred to a second atom from another cavity. We analyze analytically and numerically the dynamics of the transferred energy as a function of the coupling constant between the cavities. Another interesting problem is the trapping condition for two atoms flying through different coupled cavities. For subsystems consisting of two atomic levels, we know that, only a dynamic trapping condition can be found. In this paper, we show that due to the coupling of the cavities, the trapping condition for two atoms flying through different cavities becomes possible. This effect depends on the coupling constants between the cavities and the dipole interaction between the radiators and cavity modes. A similar problem is studied in the bad-cavity limit, when the lifetime of photons in the cavity is smaller than the decay time of excited atoms. In this case, we write the analytical solution of the master equation and show its entanglement. We obtain that entangled states arise from non-entangled initial states of the atoms. The exact description of such a system opens up new possibilities for the processing of quantum information with two optical cavities.
A class of quasi-exact solutions of the Rabi Hamiltonian, which describes a two-level atom interacting with a single-mode radiation field via a dipole interaction without the rotating-wave approximation, are obtained by using a wavefunction ansatz. Exact solutions for part of the spectrum are obtained when the atom-field coupling strength and the field frequency satisfy certain relations. As an example, the lowest exact energy level and the corresponding atom-field entanglement at the quasi-exactly solvable point are calculated and compared to results from the Jaynes–Cummings and counter-rotating cases of the Rabi Hamiltonian.