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.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 PhysicsMay 1, 20074 citations

On the rotating wave approximation

Bruce J. West, Katja Lindenberg

Physics Letters AMay 1, 198410 citations

Dynamics of two-level systems beyond the rotating-wave approximation

Jie Song, Yan Xia, Xiudong Sun +3 more

The European Physical Journal DApr 1, 20129 citations

Spin-wave spectral properties of the Mott-Hubbard antiferromagnet: The intermediate-coupling regime

Avinash Singh

Spectral properties of spin-wave excitations in the Mott-Hubbard antiferromagnet are studied in the intermediate-coupling regime, wherein extended-range spin couplings are present in the equivalent spin-1/2 Heisenberg model. A systematic expansion in powers of ${\mathit{t}}^{2}$ / ${\mathit{U}}^{2}$ is developed for the spin-wave propagator in the random-phase approximation, and its quantitative usefulness is investigated. In two dimensions the spin-wave density of states exhibits a peak structure, resembling the broadening effect of spin-wave damping. Implications for recent light-pair scattering experiments in ${\mathrm{La}}_{2}$ ${\mathrm{CuO}}_{4}$ wherein the complete spin-wave spectrum is accessible in principle, are discussed.Spectral properties of spin-wave excitations in the Mott-Hubbard antiferromagnet are studied in the intermediate-coupling regime, wherein extended-range spin couplings are present in the equivalent spin-1/2 Heisenberg model. A systematic expansion in powers of ${\mathit{t}}^{2}$/${\mathit{U}}^{2}$ is developed for the spin-wave propagator in the random-phase approximation, and its quantitative usefulness is investigated. In two dimensions the spin-wave density of states exhibits a peak structure, resembling the broadening effect of spin-wave damping. Implications for recent light-pair scattering experiments in ${\mathrm{La}}_{2}$${\mathrm{CuO}}_{4}$ wherein the complete spin-wave spectrum is accessible in principle, are discussed.

Physical review. B, Condensed matterSep 1, 199310 citations

{\mathit{t}}^{2}

{\mathit{U}}^{2}

is developed for the spin-wave propagator in the random-phase approximation, and its quantitative usefulness is investigated. In two dimensions the spin-wave density of states exhibits a peak structure, resembling the broadening effect of spin-wave damping. Implications for recent light-pair scattering experiments in

{\mathrm{La}}_{2}

{\mathrm{CuO}}_{4}

wherein the complete spin-wave spectrum is accessible in principle, are discussed.