Stochastic Schrödinger equations
Abstract
A derivation of Belavkin's stochastic Schrödinger equations is given using quantum filtering theory. We study an open system in contact with its environment, the electromagnetic field. Continuous observation of the field yields information on the system: it is possible to keep track in real time of the best estimate of the system's quantum state given the observations made. This estimate satisfies a stochastic Schrödinger equation, which can be derived from the quantum stochastic differential equation for the interaction picture evolution of system and field together. Throughout the paper we focus on the basic example of resonance fluorescence.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 2004
 DOI:
 10.1088/03054470/37/9/010
 arXiv:
 arXiv:quantph/0309205
 Bibcode:
 2004JPhA...37.3189B
 Keywords:

 Quantum Physics
 EPrint:
 24 pages