Time evolution of a superposition of dressed oscillator states in a cavity

Details Time evolution of a superposition of dressed oscillator states in a cavity Time evolution of a superposition of dressed oscillator states in a cavity

2008-01-24

arxiv.org/abs/0801.3820v1

Physics

Quantum Physics

15 pages, LATEX, 3 figures; version to appear in J. Phys. A - Math. Theor

Scientific paper

10.1088/1751-8113/41/7/075404

Using the formalism of {\it renormalized} coordinates and \textit{dressed} states introduced in previous publications, we perform a nonperturbative study of the time evolution of a superposition of two states, the ground state and the first excited level of a harmonic oscillator, the system being confined in a perfectly reflecting cavity of radius $R$. For $R\to\infty$, we find dissipation with dominance of the interference terms of the density matrix, in both weak- and strong-coupling regimes. For small values of $R$ all elements of the density matrix present an oscillatory behavior as times goes on and the system is not dissipative. In both cases, we obtain improved theoretical results with respect to those coming from perturbation theory.

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