Transition between dissipatively stabilized helical states

Essink, Simon (author), Wolff, Stefan (author), Schütz, Gunter M. (author), Kollath, Corinna (author), Popkov, Vladislav (author)

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
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2020
• Number of pages: Str. 022007-1-022007-7
• Numbering: Vol. 2, iss. 2
• PID: 20.500.12556/RUL-118043
• UDC: 530.145
• ISSN on article: 2643-1564
• DOI: 10.1103/PhysRevResearch.2.022007
• COBISS.SI-ID: 25256707
• Publication date in RUL: 17.08.2020

ESSINK, Simon, WOLFF, Stefan, SCHÜTZ, Gunter M., KOLLATH, Corinna and POPKOV, Vladislav, 2020, Transition between dissipatively stabilized helical states. Physical review research [online]. 2020. Vol. 2, no. 2, p. 022007-1- 022007–7. [Accessed 5 April 2025]. DOI 10.1103/PhysRevResearch.2.022007. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=118043

Record is a part of a journal

• Title: Physical review research
• Publisher: American Phyisical Society
• ISSN: 2643-1564
• COBISS.SI-ID: 32822823

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

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open Many-body Non-Equilibrium Systems
• Acronym: OMNES