Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain

Abstract

We study the open XXZ spin chain with a PT-symmetric non-Hermitian boundary field. We find an interaction-induced scale-free non-Hermitian skin effect by using the coordinate Bethe ansatz. The steady state and the ground state in the PT broken phase are constructed, and the formulas of their eigen-energies in the thermodynamic limit are obtained. The differences between the many-body scale-free states and the boundary string states are explored, and the transition between the two at isotropic point is investigated. We also discuss an experimental scheme to verify our results.

25 pages, 8 figures

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• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• From scale-free to Anderson localization: a size-dependent transition
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials