Quantum Integrable Multiatom Matter-Radiation Models With and Without the Rotating-Wave Approximation

Abstract

New integrable multi-atom matter-radiation models with and without rotating wave approximation (RWA) are constructed and exactly solved through algebraic Bethe ansatz. The models with RWA are generated through ancestor model approach in an unified way. The rational case yields the standard type of matter-radiaton models, while the trigonometric case corresponds to their q-deformations. The models without RWA are obtained from the elliptic case at the Gaudin and high spin limit.42.50 Pq, 03.65 Fd, 32.80 -t

Effects of Frequency Detuning and Excitation Quantum Number on the Dynamics of Entanglement in the Jaynes-Cummings Polariton Model

“…e =ε e easily gives the final property (k = 0, 1, 2, ...) e iθεe = cos(θ)Î e + i sin(θ)ε e (9) which is useful in evaluating the time-evolution operator.…”

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The Control of Entanglement in a Damped Jaynes-Cummings Model by Transient Effects

“…The model is open to some extensions to consider additional e¤ects. Some of the extensions are initial conditions [6], dissipation and damping [7,8,9], multilevel atoms and multiple atoms [10] and multi-mode description of the …eld [11]. Another extension of the JCM is incorporation of the transient e¤ects considered for the linear sweep as studied by Joshi and Lawande [12].…”

Field Squeezing in a Quantum-Dot Molecule Jaynes-Cummings Model

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