Universität zu Köln

Popkov, Vladislav, Essink, Simon, Kollath, Corinna and Presilla, Carlo (2020). Dissipative generation of pure steady states and a gambler's ruin problem. Phys. Rev. A, 102 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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Abstract

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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Popkov, Vladislav UNSPECIFIED UNSPECIFIED UNSPECIFIED Essink, Simon UNSPECIFIED UNSPECIFIED UNSPECIFIED Kollath, Corinna UNSPECIFIED UNSPECIFIED UNSPECIFIED Presilla, Carlo UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-319556
DOI:	10.1103/PhysRevA.102.032205
Journal or Publication Title:	Phys. Rev. A
Volume:	102
Number:	3
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/31955