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Transition between dissipatively stabilized helical states
Essink, Simon (Author), Wolff, Stefan (Author), Schütz, Gunter M. (Author), Kollath, Corinna (Author), Popkov, Vladislav (Author)

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Abstract
We analyze a XXZ spin-1/2 chain which is driven dissipatively at its boundaries. The dissipative driving is modeled by Lindblad jump operators which only act on both boundary spins. In the limit of large dissipation, we find that the boundary spins are pinned to a certain value and at special values of the interaction anisotropy, the steady states are formed by a rank-2 mixture of helical states with opposite winding numbers. Contrarily to previous stabilizations of topological states, these helical states are not protected by a gap in the spectrum of the Lindbladian. By changing the anisotropy, the transition between these steady states takes place viamixed states of higher rank. In particular, crossing the value of zero anisotropy a totally mixed state is found as the steady state. The transition between the different winding numbers via mixed states can be seen in light of the transitions between different topological states in dissipatively driven systems. The results are obtained by developing a perturbation theory in the inverse dissipative coupling strength and using the numerical exact diagonalization and matrix product state methods.

Language:English
Keywords:quantum mechanics
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2020
Number of pages:Str. 022007-1-022007-7
Numbering:Vol. 2, iss. 2
UDC:530.145
ISSN on article:2643-1564
DOI:10.1103/PhysRevResearch.2.022007 This link opens in a new window
COBISS.SI-ID:25256707 This link opens in a new window
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Downloads:180
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Record is a part of a journal

Title:Physical review research
Publisher:American Phyisical Society
ISSN:2643-1564
COBISS.SI-ID:32822823 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:694544
Name:Open Many-body Non-Equilibrium Systems
Acronym:OMNES

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:17.08.2020

Secondary language

Language:Slovenian
Keywords:kvantna mehanika

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