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

Abstract

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.

arXiv comment15 pages, LATEX, 3 figures; version to appear in J. Phys. A - Math. Theor

References in corpus (7)

• An Exact Approach to the Oscillator Radiation Process in an Arbitrarily Large Cavity
• Dressed States Approach to Quantum Systems
• Stability of excited atoms in small cavities
• Dressed-state approach to a simple radiating atom
• Time evolution of a superposition of dressed oscillator states in a cavity
• Sum rules in the oscillator radiation processes
• Dressed (Renormalized) Coordinates in a Nonlinear System

Cited by in corpus (5)

• Time evolution of a superposition of dressed oscillator states in a cavity
• Behavior of a bipartite system in a cavity
• Thermal Effects on the Stability of Excited Atoms in Cavities
• Time evolution of entangled biatomic states in a cavity
• Uncertainty principle in a cavity at finite temperature