Giulio Gasbarri (Author), L. Ferialdi (Author)

Abstract

We consider open quantum systems with factorized initial states, providing the structure of the reduced system dynamics, in terms of environment cumulants. We show that such completely positive (CP) and trace preserving (TP) maps can be unraveled by linear stochastic Schrödinger equations (SSEs) characterized by sets of colored stochastic processes (with n-th order cumulants). We obtain both the conditions such that the SSEs provide CPTP dynamics, and those for unraveling an open system dynamics. We then focus on Gaussian non-Markovian unravellings, whose known structure displays a functional derivative. We provide a novel description that replaces the functional derivative with a recursive operatorial structure. Moreover, for the family of quadratic bosonic Hamiltonians, we are able to provide an explicit operatorial dependence for the unravelling.

Keywords

kvantna mehanika;odprti kvantni sistemi;quantum mechanics;open quantum systems;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 42754563 Link will open in a new window
ISSN: 2469-9926
Views: 286
Downloads: 209
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;odprti kvantni sistemi;
Pages: str. 042111-1-042111-11
Volume: ǂVol. ǂ98
Issue: ǂiss. ǂ4
Chronology: 2018
DOI: 10.1103/PhysRevA.98.042111
ID: 12267646