Hidden Time Reversal in Driven XXZ Spin Chains: Exact Solutions and New Dissipative Phase Transitions

We show that several models of interacting XXZ spin chains subject to boundary driving and dissipation possess a subtle kind of time-reversal symmetry, making their steady states exactly solvable. We focus on a model with a coherent boundary drive, showing that it exhibits a unique continuous dissip...

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Bibliographic Details
Published inPhysical review letters Vol. 134; no. 13; p. 130404
Main Authors Yao, Mingxing, Lingenfelter, Andrew, Belyansky, Ron, Roberts, David, Clerk, Aashish A
Format Journal Article
LanguageEnglish
Published United States 04.04.2025
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Summary:We show that several models of interacting XXZ spin chains subject to boundary driving and dissipation possess a subtle kind of time-reversal symmetry, making their steady states exactly solvable. We focus on a model with a coherent boundary drive, showing that it exhibits a unique continuous dissipative phase transition as a function of the boundary drive amplitude. This transition has no analog in the bulk closed system or in incoherently driven models. We also show the steady-state magnetization exhibits a surprising fractal dependence on interaction strength, something previously associated with less easily measured infinite-temperature transport quantities (the Drude weight). Our exact solution also directly yields driven-dissipative double-chain models that have pure, entangled steady states that are current carrying.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.134.130404