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Published on: November 11, 2013
Hidden Time Reversal in Driven XXZ Spin Chains: Exact Solutions and New Dissipative Phase Transitions
Mingxing Yao1, Andrew Lingenfelter1,2, Ron Belyansky1
1University of Chicago, Pritzker School of Molecular Engineering, Chicago, Illinois 60637, USA.
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 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.
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