A two-level atom coupled to a controllable squeezed vacuum field reservoir

Details A two-level atom coupled to a controllable squeezed vacuum field reservoir A two-level atom coupled to a controllable squeezed vacuum field reservoir

2005-05-08

arxiv.org/abs/quant-ph/0505047v1

J. Opt. B: Quantum Semiclass. Opt. 6 (2004) 510-516

Physics

Quantum Physics

8 pages, 6 figures

Scientific paper

10.1088/1464-4266/6/12/005

The dissipative and decoherence properties of the two-level atom interacting with the squeezed vacuum field reservoir are investigated based on the nonautonomous master equation of the atomic density matrix in the framework of algebraic dynamics. The nonautonomous master equation is converted into a Schr\"{o}dinger-like equations and its dynamical symmetry is found based on the left and right representations of the relevant algebra. The time-dependent solution and the steady solution are obtained analytically. The asymptotic behavior of the solution is examined and the approach to the equilibrium state is proved. Based on the analytic solution the response of the system to the squeezed vacuum field reservoir is studied numerically.

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