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IEEE Journal of Quantum Electronics

Quantum collapse and revival of Rydberg atoms in cavities of arbitrary Q at finite temperature

N. Nayak, R. Bullough, B. V. Thompson, G. S. Agarwal

Published Jul 1, 1988• 64 citations
Publisher

Abstract

Numerical calculations on the Jaynes-Cummings model in a cavity of arbitrary Q at finite temperature, using the master equation approach, are discussed. Effects due to mismatch of the atomic transition frequency and cavity mode frequency are included. Results relate to recent experiments on /sup 85/Rb Rydberg atoms.>
DOI
10.1109/3.971

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In this paper, we investigate thermal effects of the Jaynes–Cummings model (JCM) at finite temperature with a perturbative approach. We assume a single two-level atom and a single cavity mode to be initially in the thermal equilibrium state and the thermal coherent state, respectively, at a certain finite low temperature. Describing this system with Thermo Field Dynamics formalism, we obtain a low-temperature expansion of the atomic population inversion in a systematic manner. Letting the system evolve in time with the JCM Hamiltonian, we examine thermal effects of the collapse and the revival of the Rabi oscillations by means of the third-order perturbation theory under the low-temperature limit, that is to say, using the low-temperature expansion up to the third-order terms. From an intuitive discussion, we can expect that the period of the revival of the Rabi oscillations becomes longer as the temperature rises. Numerical results obtained with the perturbation theory reproduce well this temperature dependence of the period.