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

arXiv:quant-ph/0005046

Generalized Jaynes-Cummings Model with Intensity-Dependent and Non-resonant Coupling

A N F Aleixo, A. B. Balantekin, Ribeiro, M. A. Candido

Published May 12, 2000• 1 citation
arXivHTMLPDF

Abstract

We study the intensity-dependent and nonresonant Jaynes-Cummings Hamiltonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion matrix factor.
DOI
10.48550/arxiv.quant-ph/0005046

Related papers

Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems

A N F Aleixo, A. B. Balantekin, M A Cândido Ribeiro

A class of shape-invariant bound-state problems which represent transition in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels as well as intensity-dependent interactions. We show that the couple-channel Hamiltonians obtained correspond to the generalizations of the nonresonant and intensity-dependent nonresonant Jaynes-Cummings Hamiltonians, widely used in quantized theories of laser. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.

arXiv:quant-ph/0101024•Journal of Physics A Mathematical and General•Feb 2, 2001•16 citations

Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems

A N F Aleixo, A. B. Balantekin, Ribeiro, M. A. Candido

A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupled-channel Hamiltonians obtained correspond to the generalization of the non-resonant Jaynes-Cummings Hamiltonian, widely used in quantized theories of laser. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.

arXiv:quant-ph/0005045•May 12, 2000•0 citations

Quantum properties of atom in time-dependent and intensity-dependent coupling Jaynes-Cummings model

Hong‐Guang Piao

The properties of the atomic dynamical behavior in the time-dependent and intensity-dependent Jaynes-Cummings model are investigated. The effect of different pulse widths and cavity field intensity on the inversion of atomic population are discussed.

Chinese journal of atomic and molecular physics•Jan 1, 2005•0 citations

Unified Solution Formulas to Jaynes-Cummings Models with Field Nonlinearity and Strong Atom-Field Coupling

Xiaoxue Yang, Ying Wu, Kelin Gao

Unified and standardized solving formulas for eigenvalues, eigenvectors, evolution operators, time-varying atomic inversion and photon numbers are given to single-mode Jaynes-Cummings models with any forms of intensity-dependent atom-field coupling and the nonlinearity of the quantized photonic field itself such as the Kerr effect.

Chinese Physics Letters•Nov 1, 1998•13 citations

Solving Generalized Non-degenerate Two-Mode Two-Photon Jaynes–Cummings Model by Supersymmetric Unitary Transformation

Song Tong-Qiang, Zhu Yue-Jin

Based on supersymmetric quantum mechanics theory, we introduced a supersymmetric unitary transformation to diagonalize the Hamiltonian of non-degenerate two-mode two-photon Jaynes–Cummings models which include any forms of intensity-dependent coupling, field-dependent detuning, and field nonlinearity. Its eigenvalue, eigenstates, and time evolution of state vector are obtained.

Communications in Theoretical Physics•Jul 15, 2002•6 citations

Solving Generalized Non-degenerate Two-Mode Two-Photon Jaynes-Cummings Model by Supersymmetric Unitary Transformation

Song, Tong-Qiang, Жу +1 more

Based on supersymmetric quantum mechanics theory, we introduced a supersymmetric unitary transfor mation to diagonalize the Hamiltonian of non-degenerate two-mode two-photon Jaynes-Cummings models which include any forms of intensity-dependent coupling, field-dependent detuning, and field nonlinearity. Its eigenvalue, eigenstates,and time evolution of state vector are obtained.

理论物理通讯：英文版•Jan 1, 2002•2 citations
A class of shape-invariant bound-state problems which represent transition in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels as well as intensity-dependent interactions. We show that the couple-channel Hamiltonians obtained correspond to the generalizations of the nonresonant and intensity-dependent nonresonant Jaynes-Cummings Hamiltonians, widely used in quantized theories of laser. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.
A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupled-channel Hamiltonians obtained correspond to the generalization of the non-resonant Jaynes-Cummings Hamiltonian, widely used in quantized theories of laser. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.