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

Oscillator-like coherent states for the Jaynes-Cummings Model

Yves Bérubé-Lauzière, Véronique Hussin, Michael Martin Nieto

Published Jan 1, 1995• 0 citations
OpenAlex

Abstract

A new way of diagonalizing the Jaynes-Cummings Hamiltonian is proposed, which allows the definition of annihilation operators and coherent states for this model. Mean values and dispersions over these states are computed and interpreted.

Related papers

Annihilation operators and coherent states for the Jaynes-Cummings model

Yves Bérubé-Lauzière, Véronique Hussin, Luis Miguel Nieto

An alternative way of diagonalizing the Jaynes-Cummings Hamiltonian is proposed and allows the definition of annihilation operators and coherent states for this model. Mean values and dispersions over these states are computed and interpreted. Limiting cases which are physically interesting are also examined.

Physical Review A•Aug 1, 1994•24 citations

Diagonalizing the Jaynes-Cummings Hamiltonian and Jaynes-Cummings coherent states

Stephen Mark Barnett, Bryan J. Dalton

We determine the form of the unitary transformation that diagonalizes the Jaynes-Cummings Hamiltonian. This leads to operators the action of which has a simple interpretation in terms of the dressed states, the energy eigenstates. This suggests a set of coherent states and spin coherent states based on the dressed states.

arXiv:2404.11272•Journal of the Optical Society of America B•Apr 24, 2024•2 citations

Correlated coherent states in the Jaynes-Cummings model: I

É. M. Verlan, Margarita A. Razumova

In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation Â, the spin operator $$\hat \Sigma \_$$ , and the corresponding Hermitian-conjugate operators are found. Using these operators, correlated coherent states were constructed and statistical properties of a field mode and an atom in these states are studied. Nonclassical field properties, such as the deviation of the probability distribution for the number of photons from the Poissonian distribution, its time dependence, and the squeezing of quadrature field components are found. For small interaction coefficients k, all these characteristics of the model vary weakly in time in the resonance case.

Optics and Spectroscopy•Jun 1, 2001•1 citation

General sets of coherent states and the Jaynes$ndash$Cummings model

Mohammed Daoud A, Véronique Hussin

General sets of coherent states are constructed for quantum systems admitting a nondegenerate infinite discrete energy spectrum. They are eigenstates of an annihilation operator and satisfy the usual properties of standard coherent states. The application of such a construction to the quantum optics Jaynes–Cummings model leads to a new understanding of the properties of this model.

Journal of Physics A Mathematical and General•Aug 13, 2002•38 citations

The Dynamics of a Modified Jaynes-Cummings Model

Moorad Alexanian

We introduce a dynamical system that instead of exchanging a single photon as in the atomic system of the usual Jaynes-Cummings model (JCM), it exchanges instead a squeezed coherent photon. Accordingly, the creation and annihilation photon operators in the JCM are replaced by the creation and annihilation operators of squeezed coherent states, respectively. This transformation generates a photon Hamiltonian that modifies the JCM that includes terms usually omitted in the JCM when making the rotating-wave approximation and, in addition, the transformation introduces atom exchange terms absent in the JCM.

arXiv:2212.12021•Armenian Journal of Physics•Dec 22, 2022•1 citation

Solving the Jaynes–Cummings Model with Shift Operators Constructed by Means of the Matrix-Diagonalizing Technique

Jie Zhou, Hong-Yi Su, Fulin Zhang +2 more

The Jaynes–Cummings model is solved with the raising and lowering (shift) operators using the matrix-diagonalizing technique. Bell nonlocality is also found to be present ubiquitously in the excitation states of the model .

arXiv:1710.00170•Chinese Physics Letters•Jan 1, 2018•1 citation
In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation Â, the spin operator Σ^_\hat \Sigma \_Σ^_ , and the corresponding Hermitian-conjugate operators are found. Using these operators, correlated coherent states were constructed and statistical properties of a field mode and an atom in these states are studied. Nonclassical field properties, such as the deviation of the probability distribution for the number of photons from the Poissonian distribution, its time dependence, and the squeezing of quadrature field components are found. For small interaction coefficients k, all these characteristics of the model vary weakly in time in the resonance case.
General sets of coherent states and the JaynesndashndashndashCummings model
We introduce a dynamical system that instead of exchanging a single photon as in the atomic system of the usual Jaynes-Cummings model (JCM), it exchanges instead a squeezed coherent photon. Accordingly, the creation and annihilation photon operators in the JCM are replaced by the creation and annihilation operators of squeezed coherent states, respectively. This transformation generates a photon Hamiltonian that modifies the JCM that includes terms usually omitted in the JCM when making the rotating-wave approximation and, in addition, the transformation introduces atom exchange terms absent in the JCM.