Dressed States Approach to Quantum Systems

Abstract

Using the non-perturbative method of {\it dressed} states previously introduced in JPhysA, we study effects of the environment on a quantum mechanical system, in the case the environment is modeled by an ensemble of non interacting harmonic oscillators. This method allows to separate the whole system into the {\it dressed} mechanical system and the {\it dressed} environment, in terms of which an exact, non-perturbative approach is possible. When applied to the Brownian motion, we give explicit non-perturbative formulas for the classical path of the particle in the weak and strong coupling regimes. When applied to study atomic behaviours in cavities, the method accounts very precisely for experimentally observed inhibition of atomic decay in small cavities PhysLA, physics0111042.

References in corpus (2)

• Resummation of the hadronic tau decay width with the modified Borel transform method
• Stability of excited atoms in small cavities

Cited by in corpus (15)

• Bridging the gap between the Jaynes-Cummings and Rabi models using an intermediate rotating wave approximation
• Harmonic oscillator model for the atom-surface Casimir-Polder interaction energy
• 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
• Renormalized coordinate approach to the thermalization process
• Ground State Excitation of an Atom Strongly Coupled to a Free Quantum Field
• Anharmonic oscillator radiation process in a large 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
• Dressed (Renormalized) Coordinates in a Nonlinear System
• Dressed coordinates: the path-integrals approach
• Uncertainty principle in a cavity at finite temperature
• The time evolution of an atom coupled to a thermal radiation field