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

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

Povzetek

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.

Ključne besede

kvantna mehanika;odprti kvantni sistemi;markovski procesi;quantum mechanics;open quantum systems;Markov processes;

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	530.145
COBISS:	43012099
ISSN:	2469-9926
Št. ogledov:	285
Št. prenosov:	254
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	kvantna mehanika;odprti kvantni sistemi;markovski procesi;
Strani:	str. 032205-1-032205-7
Letnik:	ǂVol. ǂ102
Zvezek:	ǂiss. ǂ3
Čas izdaje:	2020
DOI:	10.1103/PhysRevA.102.032205
ID:	12345754