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

Communications in Theoretical Physics

Exact Solution of Jaynes–Cummings Model Without Rotating Wave Approximation

Feng Mang, Wang Kelin, Shi L, Fang Ximing, Yan Min, Zhu Xiwen

Published Sep 15, 1998• 3 citations
Publisher

Abstract

In coherent-state representation, the Jaynes–Cummings (JC) model in the absence of rotating wave approximation (RWA), i.e., in detuning case, is treated by the solution of some differential equations with constant coefficients and can be exactly solved. This approach can be easily extended to deal with the JC model without RWA in more complicated cases.

DOI
10.1088/0253-6102/30/2/169

Related papers

Dynamics of Jaynes–Cummings Model in the Absence of Rotating-Wave Approximation

Fan Yun-Xia, Tao Liu, Feng Mang +1 more

The Jaynes-Cummings model (JCM) is studied in the absence of the rotating-wave approximation (RWA) by a coherent-state expansion technique. In comparison with the previous paper in which the coherent-state expansion was performed only to the third order, we carry out in this paper a complete expansion to demonstrate exactly the dynamics of the JCM without the RWA. Our study gives a systematic method to solve the non-RWA problem, which would be useful in various physical systems, e.g., in a system with an ultracold trapped ion experiencing the running waves of lasers.

Communications in Theoretical Physics•May 1, 2007•4 citations

Exact Solution of a Many-Level Atom Interacting with a Monochromatic Field Without Rotating Wave Approximation

Feng Mang, Fang Ximing, Shi Lei +2 more

In the coherent-state representation, the technique applied to the Jaynes-Cummings (JC) model in the absence of rotating wave approximation (RWA) is extended to the treatment of a many-level atom interacting with a monochromatic field. Some general results are presented.

Communications in Theoretical Physics•Mar 15, 1999•1 citation

Exact solutions to the Jaynes-Cummings model without the rotating-wave approximation

Qing‐Hu Chen, Tao Liu, Yuyu Zhang +1 more

By using tunable extended bosonic coherent states, the JC model without the rotating-wave approximation can be mapped to a polynomial equation with a single variable. The solutions to this polynomial equation recover exactly all eigenvalues and eigenfunctions of the model for all coupling strengths and detunings, which can be readily applied to recent circuit quantum electrodynamic systems operating in the ultra-strong coupling regime.

arXiv:1011.3280•Europhysics Letters (EPL)•Sep 16, 2011•44 citations

An approach to the time-dependent Jaynes-Cummings model without the rotating wave approximation

Jian Qi Shen

This report presents an approach to the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without the rotating wave approximation (RWA). It is shown that there is a squeezing-operator unitary transformation for relating the J-C model without RWA and the one with RWA. Thus by using an appropriate squeezing unitary transformation, the time-dependent J-C model without RWA can be transformed into the one with RWA that has been exactly solved previously, and based on this one can readily obtain the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without RWA. The approach presented here also shows that we can treat these two kinds of time-dependent J-C models (both with and without RWA) in a unified way.

arXiv:quant-ph/0311140•Nov 20, 2003•1 citation

Ground State of Jaynes–Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation

LI Xiao-hong, Kelin Wang, Tao Liu

The eigenenergy spectrum of the Jaynes–Cummings (JC) model with and without the rotating-wave approximation (RWA) is investigated. The numerical analysis indicates that the non-RWA spectrum can only be approximated by the RWA in the range of sufficiently small coupling constant and detuning. In other region, the counter-rotating terms remarkably change the nature of the RWA energy spectrum. A simple expression with high accuracy for ground eigenenergy and eigenvector for non-RWA is available. The ground eigenvector for non-RWA shows that the ground state is not a dark state and very different from that of RWA which is a dark state.

Chinese Physics Letters•Mar 31, 2009•6 citations

Exact periodic solution in the semiclassical Jaynes-Cummings model without the rotating-wave approximation

Adam Kujawski

In the semiclassical version of the Jaynes-Cummings model without the rotating-wave approximation, an exact periodic solution has been obtained and studied for some specific values of the coupling constant and the detuning.

Physical Review A•Feb 1, 1988•15 citations
In coherent-state representation, the Jaynes–Cummings (JC) model in the absence of rotating wave approximation (RWA), i.e., in detuning case, is treated by the solution of some differential equations with constant coefficients and can be exactly solved. This approach can be easily extended to deal with the JC model without RWA in more complicated cases.
The Jaynes-Cummings model (JCM) is studied in the absence of the rotating-wave approximation (RWA) by a coherent-state expansion technique. In comparison with the previous paper in which the coherent-state expansion was performed only to the third order, we carry out in this paper a complete expansion to demonstrate exactly the dynamics of the JCM without the RWA. Our study gives a systematic method to solve the non-RWA problem, which would be useful in various physical systems, e.g., in a system with an ultracold trapped ion experiencing the running waves of lasers.
This report presents an approach to the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without the rotating wave approximation (RWA). It is shown that there is a squeezing-operator unitary transformation for relating the J-C model without RWA and the one with RWA. Thus by using an appropriate squeezing unitary transformation, the time-dependent J-C model without RWA can be transformed into the one with RWA that has been exactly solved previously, and based on this one can readily obtain the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without RWA. The approach presented here also shows that we can treat these two kinds of time-dependent J-C models (both with and without RWA) in a unified way.
The eigenenergy spectrum of the Jaynes–Cummings (JC) model with and without the rotating-wave approximation (RWA) is investigated. The numerical analysis indicates that the non-RWA spectrum can only be approximated by the RWA in the range of sufficiently small coupling constant and detuning. In other region, the counter-rotating terms remarkably change the nature of the RWA energy spectrum. A simple expression with high accuracy for ground eigenenergy and eigenvector for non-RWA is available. The ground eigenvector for non-RWA shows that the ground state is not a dark state and very different from that of RWA which is a dark state.