Damped quantum interference using stochastic calculus

Quantum Stochastic Calculus

Detereministic classical dynamics, reversible quantum dynamics in the Schrr odinger-Heinsenberg pictures and irreversible dynamics of diiusion processes driven by Brownian motion admitìnnnitesimal' or`diierential' descriptions which can be expressed in terms of derivations of * algebras. One of the central aims of quantum stochastic calculus is to unify all these and explore for similar algebra...

Quantum Stochastic Calculus and Quantum Nonlinear Filtering

A ?–algebraic inde…nite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an in…nitely dimensional nuclear space. The class of nondemolition output QS processes in quantum open systems is characterized in terms of the QS calculus, and the problem of QS nonlinear …lt...

Feynman Diagrams and the Quantum Stochastic Calculus

We present quantum stochastic calculus in terms of diagrams taking weights in the algebra of observables of some quantum system. In particular, we note the absence of non-time-consecutive Goldstone diagrams. We review recent results in Markovian limits in these terms. AMS Classification: 81S25, 81T18

Photoemissive Sources and Quantum Stochastic Calculus

On Q-deformed Quantum Stochastic Calculus

In this paper we investigate a quantum stochastic calculus build of creation, annihilation and number of particles operators which fulfill some deformed commutation relations. Namely, we introduce a deformation of a number of particles operator which has simple commutation relations with well known q-deformed creation and annihilation operators. Since all operators considered in this theory are...