Stochastic unravelings of non-Markovian completely positive and trace-preserving maps

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

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.

• Language: English
• Keywords: quantum mechanics, open quantum systems
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: Str. 042111-1-042111-11
• Numbering: Vol. 98, iss. 4
• PID: 20.500.12556/RUL-122926
• UDC: 530.145
• ISSN on article: 2469-9926
• DOI: 10.1103/PhysRevA.98.042111
• COBISS.SI-ID: 42754563
• Publication date in RUL: 16.12.2020

Record is a part of a journal

• Title: Physical review
• Publisher: American Physical Society
• ISSN: 2469-9926
• COBISS.SI-ID: 2996836

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, odprti kvantni sistemi

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open Many-body Non-Equilibrium Systems
• Acronym: OMNES