Inhomogeneous matrix product ansatz and exact steady states of boundary-driven spin chains at large dissipation

Vladislav Popkov (Author), Tomaž Prosen (Author), Lenart Zadnik (Author)

Abstract

We find novel site-dependent Lax operators in terms of which we demonstrate exact solvability of a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, with jump operators polarizing the boundary spins in arbitrary directions. We write the corresponding nonequilibrium steady state using an inhomogeneous matrix product ansatz, where the constituent matrices satisfy a simple set of linear recurrence relations. Although these matrices can be embedded into an infinite-dimensional auxiliary space, we have verified that they cannot be simultaneously put into a tridiagonal form, not even in the case of axially symmetric (XXZ) bulk interactions and general nonlongitudinal boundary dissipation. We expect our results to have further fundamental applications for the construction of nonlocal integrals of motion for the open XYZ model with arbitrary boundary fields, or the eight-vertex model.

Keywords

statistična fizika;odprti kvantni sistemi;kvantne spinske verige;statistical physics;open quantum systems;quantum spin chains;

Data

Language:	English
Year of publishing:	2020
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	530.145
COBISS:	23761667
ISSN:	2470-0045
Views:	472
Downloads:	519
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	statistična fizika;odprti kvantni sistemi;kvantne spinske verige;
Pages:	str. 042122-1-042122-10
Volume:	ǂVol. ǂ101
Issue:	ǂiss. ǂ4
Chronology:	2020
DOI:	10.1103/PhysRevE.101.042122
ID:	11922577