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

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

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.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, open quantum systems
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2018
• Št. strani: Str. 042111-1-042111-11
• Številčenje: Vol. 98, iss. 4
• PID: 20.500.12556/RUL-122926
• UDK: 530.145
• ISSN pri članku: 2469-9926
• DOI: 10.1103/PhysRevA.98.042111
• COBISS.SI-ID: 42754563
• Datum objave v RUL: 16.12.2020

Gradivo je del revije

• Naslov: Physical review
• Založnik: American Physical Society
• ISSN: 2469-9926
• COBISS.SI-ID: 2996836

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, odprti kvantni sistemi

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES