Communications in Theoretical Physics

A Generalized Jaynes-Cummings Model for Two Collectively Radiating Atoms

Fan Hong‐Yi

Published Jun 1, 1989• 8 citations

Abstract

The Jaynes-Cummings model is theoretically generalized to the simplest case of collectively radiating atoms. The corresponding Hamiltonian is diagonalized and some transition process is calculated.

DOI: 10.1088/0253-6102/11/4/509

Related papers

A GENERALIZED JAYNES-CUMMINGS MODEL WITH INTENSITY-DEPENDENT COUPLING

Peng Zhou, 彭金生

Jaynes-Cummings model (JCM) for describing a two-level atom interacting with a single-mode radiation field via the one-photon transition is one of the important theoretical models in quantum optics. Recently, Sukumar et al. have generalized the JCM to

中国科学通报：英文版Jan 1, 19910 citations

Collective Radiation Inhibition Effects in the Many-Atom Jaynes-Cummings Model

JOSIP SEKE, Roman Schnabl, Frank Rattay

Springer eBooksJan 1, 19900 citations

A GENERALIZED MULTIPHOTON JAYNES–CUMMINGS MODEL FOR TWO COLLECTIVELY RADIATING ATOMS SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION

Huai-Xin Lu, Xiaoqin Wang, HAN-JUN LIU +1 more

The multiphoton Jaynes–Cummings model is theoretically generalized to the simplest case of collectively radiating atoms. For this Jaynes–Cummings model, we find its supersymmetric structure. Based on this, we introduce a supersymmetric unitary transformation to diagonalize the Hamiltonian, and in so doing, its eigenvalues and eigenfunctions are obtained. Some transition processes are calculated.

Modern Physics Letters BJun 30, 20015 citations

The Jaynes-Cummings Model Generalized: Three-Level Atoms Interacting with Two Oscillators

Fritz Haake, K.D. Harms

Springer eBooksJan 1, 19930 citations

Exactly-solvable generalization of the jaynes-Cummings model and its application to atom-molecule systems

Stuart Pittel, J. Dukelsky, G.G. Dussel

5 pags., 3 figs. -- The work reported here is based on a talk presented by one of the authors (SP) at the XXVIIth Symposium on Nuclear Physics held in Taxco, Mexico, from 5-8 January 2004. -- PACS: 02.30.Ik; 03.75.-b; 34.50.-s; 42.50.Pq

Revista Mexicana de FísicaDec 1, 20040 citations

Solving a Generalized Jaynes-Cummings Model by Supersymmetric Unitary Transformation

Lu Huai-Xin, Wang Xiao-Qin, Fan Hong-Yi

For the generalized Jaynes-Cummings model Hamiltonian which can describe two collectively radiation atoms, we find its supersymmetric structure. Based on supersymmetric quantum mechanics theory, we introduce a supersymmetric unitary transformation, in which the supersymmetric unitary transformation operator can be constructed by supersymmetric generators of the super-Lie algebra, to diagonalize the Hamiltonian. On doing so, its eigenvalue and eigenstates are obtained.

Chinese Physics LettersMay 1, 20008 citations