Lattice mapping for many-body open quantum systems and its application to atoms in photonic crystals
Abstract
We present a derivation that maps the original problem of a many-body open quantum system (OQS) coupled to a harmonic oscillator reservoir into that of a many-body OQS coupled to a lattice of harmonic oscillators. The present method is particularly suitable to analyze the dynamics of atoms arranged in a periodic structure and coupled with the electromagnetic field within a photonic crystal. It allows to solve the dynamics of a many-body OQS with methods alternative to the commonly used master, stochastic Schrödinger, and Heisenberg equations, and thus to reach regimes well beyond the weak coupling and Born-Markov approximations.
- Publication:
-
Physical Review A
- Pub Date:
- October 2014
- DOI:
- 10.1103/PhysRevA.90.043806
- arXiv:
- arXiv:1405.6995
- Bibcode:
- 2014PhRvA..90d3806D
- Keywords:
-
- 42.50.-p;
- 42.70.Qs;
- 03.65.Yz;
- Quantum optics;
- Photonic bandgap materials;
- Decoherence;
- open systems;
- quantum statistical methods;
- Quantum Physics
- E-Print:
- Phys. Rev. A 90, 043806 (2014)