Dissipative generation of pure steady states and a gambler's ruin problem

Popkov, Vladislav (avtor), Essink, Simon (avtor), Kollath, Corinna (avtor), Presilla, Carlo (avtor)

We consider an open quantum system, with dissipation applied only to a part of its degrees of freedom, evolving via a quantum Markov dynamics. We demonstrate that, in the Zeno regime of large dissipation, the relaxation of the quantum system towards a pure quantum state is linked to the evolution of a classical Markov process towards a single absorbing state. The rates of the associated classical Markov process are determined by the original quantum dynamics. Extension of this correspondence to absorbing states with internal structure allows us to establish a general criterion for having a Zeno-limit nonequilibrium stationary state of arbitrary finite rank. An application of this criterion is illustrated in the case of an open XXZ spin-1/2 chain dissipatively coupled at its edges to baths with fixed and different polarizations. For this system, we find exact nonequilibrium steady-state solutions of ranks 1 and 2.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, open quantum systems, Markov processes
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: Str. 032205-1-032205-7
• Številčenje: Vol. 102, iss. 3
• PID: 20.500.12556/RUL-124029
• UDK: 530.145
• ISSN pri članku: 2469-9926
• DOI: 10.1103/PhysRevA.102.032205
• COBISS.SI-ID: 43012099
• Datum objave v RUL: 21.12.2020

Gradivo je del revije

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

Sekundarni jezik

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

Projekti

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