Quantum systems coupled to a structured reservoir with multiple excitations

Abstract

We present a method for dealing with quantum systems coupled to a structured reservoir with any density of modes and with more than one excitation. We apply the method to a two-level atom coupled to the edge of a photonic band gap and a defect mode. Results pertaining to this system, provide the solution to the problem of two photons in the reservoir and possible generalization is discussed.

LaTeX format, 4 pages, 2 figures, to appear in Physical Review A

References in corpus (3)

• Non-Markovian Quantum State Diffusion
• Fluorescence into flat and structured radiation continua: An atomic density matrix without a master equation
• The Born and Markov approximations for atom lasers

Cited by in corpus (13)

• Theory of Pseudomodes in Quantum Optical Processes
• Radiating dipoles in photonic crystals
• Coherent Phenomena in Photonic Crystals
• Beyond single-photon localization at the edge of a Photonic Band Gap
• Non-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir
• Entanglement trapping in a non-stationary structured reservoir
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Non-Markovian dynamics in atom-laser outcoupling from a double-well Bose-Einstein condensate
• Long-lived quantum coherence of two-level spontaneous emission models within structured environments
• Effects of relative phase and interactions on atom-laser outcoupling from a double-well Bose-Einstein condensate: Markovian and non-Markovian dynamics
• Quantum Zeno effect by indirect measurement: The effect of the detector
• Effects of interatomic collisions on atom laser outcoupling
• Characteristic influence of exceptional points in quantum dynamics