Markovian approximation is a widely-employed idea in descriptions of the dynamics of open
quantum systems (OQSs). Although it is usually claimed to be a concept inspired by …

Dissipation, the irreversible loss of energy and coherence, from a microsystem is the result
of coupling to a much larger macrosystem (or reservoir) that is so large that one has no …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

The notion of a quantum dynamical semigroup is defined using the concept of a completely
positive map. An explicit form of a bounded generator of such a semigroup on B (ℋ) is …

In this paper we establish the general form of the generator of a completely positive
dynamical semigroup of an N-Ievel quantum system (Sec. II) and we find the conditions, in …

The control of individual quantum systems is now a reality in a variety of physical settings.
Feedback control is an important class of control methods because of its ability to reduce the …

In order to provide a mathmatical framework for the process of making repeated
measurements on continuous observables in a statistical system we make a mathematical …

General state changes of quantum systems (operations) due to external interventions
(measurements) are studied. The formalism developed in previous papers is simplified and …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

In the last decade, some attempts were developed to construct a satisfactory theory of the
quantum mechanical measurement of an observable with continuous spectrum. 1-9 …