4.2 Article

Transition between dissipatively stabilized helical states

Journal

PHYSICAL REVIEW RESEARCH
Volume 2, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.2.022007

Keywords

-

Funding

  1. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [KO 2 (SCHU827/9-1), KL645/20-1, 277625399 -TRR 185, 277146847 -CRR1238]
  2. European Research Council (ERC) under the Horizon 2020 research and innovation programme [648166, 694544]
  3. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy -Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) [EXC 2004/1-390534769]

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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.

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