B. Vacchini

Frontiers of Open Quantum System Dynamics
in Quantum Physics and Geometry
edited by E. Ballico et al.
Lecture Notes of the Unione Matematica Italiana, vol. 25, pp 71-85 (2019)

Abstract:

We briefly examine recent developments in the field of open quantum system theory, devoted to the introduction of a satisfactory notion of memory for a quantum dynamics. In particular, we will consider a possible formalization of the notion of non-Markovian dynamics, as well as the construction of quantum evolution equations featuring a memory kernel. Connections will be draw to the corresponding notions in the framework of classical stochastic processes, thus pointing to the key differences between a quantum and classical formalization of the notion of memory effects.

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