English

Frontiers of open quantum system dynamics

Quantum Physics 2019-07-18 v1 Mathematical Physics math.MP

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 drawn 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.

Keywords

Cite

@article{arxiv.1907.07516,
  title  = {Frontiers of open quantum system dynamics},
  author = {Bassano Vacchini},
  journal= {arXiv preprint arXiv:1907.07516},
  year   = {2019}
}

Comments

15 pages, contribution to "Quantum Physics and Geometry", Lecture Notes of the Unione Matematica Italiana 25,E. Ballico et al. (eds.)

R2 v1 2026-06-23T10:23:11.674Z