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

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.

Keywords

kvantna mehanika;quantum mechanics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 25256707 Link will open in a new window
ISSN: 2643-1564
Views: 427
Downloads: 231
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;
Pages: str. 022007-1-022007-7
Volume: ǂVol. ǂ2
Issue: ǂiss. ǂ2
Chronology: 2020
DOI: 10.1103/PhysRevResearch.2.022007
ID: 11959890