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 three-level two-mode model with multiphoton transitions

A.S. Shumovsky, E.I. Aliskenderov, Fam Le Kien

Published Nov 11, 1985• 21 citations
Publisher

Abstract

The solutions of the equations of motion for the level population and photon number operators are obtained. The characteristic and photon distribution functions, the statistical moments of photon numbers and the correlations of modes are found.
DOI
10.1088/0305-4470/18/16/007

Related papers

N-level atom and (N-1) modes: an exactly solvable model with detuning and multiphotons

A.M. Abdel-Hafez, A.‐S. F. Obada, Mahmoud Ahmad

A model is presented for the interaction between an N-level atom and (N-1) modes. Under the exact resonance condition between the modes with a detuning parameter, the Hamiltonian becomes solvable. The evolution operator is calculated and the time development for the photon number operators and the occupation numbers are obtained. Multiphoton processes are discussed.

Journal of Physics A Mathematical and General•Apr 21, 1987•42 citations

On a Jaynes-Cummings type model with multiphoton transitions

A.S. Shumovsky, E.I. Aliskenderov, Fam Le Kien +1 more

The authors present a quantum electrodynamic model, soluble in the dipole and rotating wave approximation, for a three-level atom interacting with a two-mode resonant radiation field through the multiphoton transition mechanism. Population dynamics and photon statistics in this Jaynes-Cummings type model are examined.

Journal of Physics A Mathematical and General•Dec 1, 1986•19 citations

On an exactly solvable N-level system coupled to N-1 field modes

M. Kozierowski

The time evolution of level population and photon number operators is found in the rotating wave approximation.

Journal of Physics B Atomic and Molecular Physics•Aug 14, 1986•15 citations

Photon statistics in multiphoton absorption and emission processes

Muhammad Suhail Zubairy, J. J. Yeh

Exact solutions of the master equations which describe single-mode $m$-photon absorption and $m$-photon emission processes in a two-level atomic system are obtained using a density-matrix approach. Some aspects of the photon statistics, e.g., antibunching, are discussed.

Physical Review A•May 1, 1980•69 citations

On the exactly soluble model in quantum electrodynamics

Nikolay N. Bogolubov, Fam Le Kien, A.S. Shumovsky

The model of a ladder configuration three-level atom interacting with a two-mode near-resonant radiation field is treated. It is shown that the operator equations of motion can be solved explicitly. The dynamical behaviour of the photon numbers and level populations is studied for various initial conditions.

Journal of Physics A Mathematical and General•Feb 1, 1986•33 citations

Cooperative atomic interactions in a single-mode laser

Sajid Mahmood, Muhammad Suhail Zubairy

An equation of motion for the reduced density matrix for the field in a single-mode laser is derived when the single- and two-atom interactions are included. An exact steady-state solution for the photon distribution function is presented and some aspects of the photon statistics are discussed.

Physical Review A•Jan 1, 1987•39 citations
Exact solutions of the master equations which describe single-mode mmm-photon absorption and mmm-photon emission processes in a two-level atomic system are obtained using a density-matrix approach. Some aspects of the photon statistics, e.g., antibunching, are discussed.