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Exact nonequilibrium steady state of open XXZ/XYZ spin-1/2 chain with Dirichlet boundary conditions
ID
Popkov, Vladislav
(
Author
),
ID
Prosen, Tomaž
(
Author
),
ID
Zadnik, Lenart
(
Author
)
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https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.160403
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Abstract
We investigate a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, described by Lindblad master equation. The nonequilibrium steady state is expressed in terms of a matrix product ansatz using novel site-dependent Lax operators. The components of Lax operators satisfy a simple set of linear recurrence equations that generalize the defining algebraic relations of the quantum group $U_q(sl_2)$. We reveal connection between the nonequilibrium steady state of the nonunitary dynamics and the respective integrable model with edge magnetic fields, described by coherent unitary dynamics.
Language:
English
Keywords:
statistical physics
,
nonequilibrium statistical mechanics
,
open quantum systems
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Author Accepted Manuscript
Year:
2020
Number of pages:
Str. 160403-1-160403-5
Numbering:
Vol. 124, iss. 16
PID:
20.500.12556/RUL-117815
UDC:
536.93
ISSN on article:
0031-9007
DOI:
10.1103/PhysRevLett.124.160403
COBISS.SI-ID:
23755779
Publication date in RUL:
28.07.2020
Views:
1352
Downloads:
470
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Record is a part of a journal
Title:
Physical review letters
Shortened title:
Phys. rev. lett.
Publisher:
American Physical Society
ISSN:
0031-9007
COBISS.SI-ID:
1282575
Secondary language
Language:
Slovenian
Keywords:
statistična fizika
,
neravnovesna statistična mehanika
,
odprti kvantni sistemi
Projects
Funder:
EC - European Commission
Funding programme:
H2020
Project number:
694544
Name:
Open Many-body Non-Equilibrium Systems
Acronym:
OMNES
Funder:
ARRS - Slovenian Research Agency
Project number:
P1-0402
Name:
Matematična fizika
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