Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
- URL: http://arxiv.org/abs/2407.12750v1
- Date: Wed, 17 Jul 2024 17:12:53 GMT
- Title: Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
- Authors: Mingxing Yao, Andrew Lingenfelter, Ron Belyansky, David Roberts, Aashish A. Clerk,
- Abstract 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.
Our exact solution also directly yields driven-dissipative double-chain models that have pure, entangled steady states that are also current carrying.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 analogue 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 also current carrying.
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