Derivation of Maxwell-Bloch-type equations by projection of quantum models

Details Derivation of Maxwell-Bloch-type equations by projection of quantum models Derivation of Maxwell-Bloch-type equations by projection of quantum models

2008-03-19

arxiv.org/abs/0803.2887v1

Physics

Quantum Physics

4 pages, 1 EPS figure

Scientific paper

10.1103/PhysRevA.78.015801

A simple algebraic procedure is described for deriving Maxwell-Bloch-type equations from single-atom cavity quantum electrodynamics (cavity QED) master equations via orthogonal projection onto a manifold of semiclassical states. In particular the usual Maxwell-Bloch Equations are obtained--up to a state-dependent correction factor of order unity--straightforwardly from the unconditional Jaynes-Cummings master equation. The technique of projecting onto a semiclassical manifold can also be applied with conditional master equations (quantum filters), leading to stochastic simulation models that include multiplicative noise terms associated with fluctuations of the atomic dipole. The utility of such models is briefly explored in the context of single-atom absorptive bistability.

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