Effective quantum Zeno dynamics in dissipative quantum systems - Kölner UniversitätsPublikationsServer

Popkov, Vladislav, Essink, Simon ORCID: 0000-0003-1390-3885, Presilla, Carlo and Schuetz, Gunter (2018). Effective quantum Zeno dynamics in dissipative quantum systems. Phys. Rev. A, 98 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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DOI:10.1103/PhysRevA.98.052110

Abstract

We investigate the time evolution of an open quantum system described by a Lindblad master equation with dissipation acting only on a part of the degrees of freedom H-0 of the system, and targeting a unique dark state in H-0. We show that, in the Zeno limit of large dissipation, the density matrix of the system traced over the dissipative subspace H-0, evolves according to another Lindblad dynamics, with renormalized effective Hamiltonian and weak effective dissipation. This behavior is explicitly checked in the case of Heisenberg spin chains with one or both boundary spins strongly coupled to a magnetic reservoir. Moreover, the populations of the eigenstates of the renormalized effective Hamiltonian evolve in time according to a classical Markov dynamics. As a direct application of this result, we propose a computationally efficient exact method to evaluate the nonequilibrium steady state of a general system in the limit of strong dissipation.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Popkov, Vladislav	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Essink, Simon	UNSPECIFIED	orcid.org/0000-0003-1390-3885	UNSPECIFIED
Presilla, Carlo	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Schuetz, Gunter	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED