QUANTUM FLOWS ASSOCIATED TO MASTER-EQUATIONS IN QUANTUM OPTICS

Citation
F. Fagnola et al., QUANTUM FLOWS ASSOCIATED TO MASTER-EQUATIONS IN QUANTUM OPTICS, Journal of mathematical physics, 35(1), 1994, pp. 1-12
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
35
Issue
1
Year of publication
1994
Pages
1 - 12
Database
ISI
SICI code
0022-2488(1994)35:1<1:QFATMI>2.0.ZU;2-2
Abstract
A stochastic dilation of master equation for a maser is constructed us ing the technique of quantum stochastic differential equations with un bounded operator coefficients. The associated quantum Markov flow is c haracterized and turns out to extend a classical birth and death proce ss. Furthermore, the stationary distribution of the aforementioned pro cess, which is connected to the stationary state of the micromaser, is obtained in a closed form.