Exact nonequilibrium steady state of open XXZ/XYZ spin-1/2 chain with Dirichlet boundary conditions

Abstract

We investigate a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, described by Lindblad master equation. The nonequilibrium steady state is expressed in terms of a matrix product ansatz using novel site-dependent Lax operators. The components of Lax operators satisfy a simple set of linear recurrence equations that generalize the defining algebraic relations of the quantum group $U_q(s{l}_2)$. We reveal connection between the nonequilibrium steady state of the nonunitary dynamics and the respective integrable model with edge magnetic fields, described by coherent unitary dynamics.

arXiv comment5 pages, 3 figures

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• Local master equations may fail to describe dissipative critical behavior
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• Nonstabilizerness in open XXZ spin chains: Universal scaling and dynamics
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• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
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• Exact density profile in a tight-binding chain with dephasing noise
• Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Integrability versus chaos in the steady state of many-body open quantum systems
• Exact steady states of the impurity-doped XXZ spin chain coupled to dissipators
• Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields
• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Temperature dependence of energy transport in the ${\mathbb{Z}}_3$ chiral clock model
• Dissipative cooling towards phantom Bethe states in boundary driven XXZ spin chain
• Inhomogeneous MPA and exact steady states of boundary driven spin chains at large dissipation
• Full distribution and large deviations of local observables in an exactly solvable current carrying steady state of a strongly driven XXZ chain