Alternation of sign of magnetization current in driven XXZ chains with twisted XY boundary gradients

DOI10.1088/1742-5468/2012/12/P12015zbMath1456.81251arXiv1210.4555OpenAlexW2049140563MaRDI QIDQ3301321

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Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4555

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (3)

Spin-helix states in theXXZspin chain with strong boundary dissipation ⋮ Anomalous currents in a drivenXXZchain with boundary twisting at weak coupling or weak driving ⋮ Exact results for the isotropic spin-1/2 Heisenberg chain with dissipative boundary driving

Cites Work

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• From repeated to continuous quantum interactions
• Irreducible quantum dynamical semigroups
• Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
• A matrix product solution for a nonequilibrium steady state of an XX chain
• The density-matrix renormalization group
• Twisted boundary conditions and effective mass in Heisenberg-Ising and Hubbard rings
• Comments on a boundary-driven openXXZchain: asymmetric driving and uniqueness of steady states
• Completely positive dynamical semigroups of N-level systems

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