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.
Frontiers of Open Quantum System Dynamics / B. Vacchini (LECTURE NOTES OF THE UNIONE MATEMATICA ITALIANA). - In: Quantum Physics and Geometry / [a cura di] E. Ballico, A. Bernardi, I. Carusotto, S. Mazzucchi, V. Moretti. - [s.l] : Springer, 2019. - ISBN 9783030061210. - pp. 71-85 [10.1007/978-3-030-06122-7_4]
Frontiers of Open Quantum System Dynamics
B. Vacchini
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.File | Dimensione | Formato | |
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