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000834322 1001_ $$0P:(DE-HGF)0$$aPopkov, V.$$b0$$eCorresponding author
000834322 245__ $$aSolution of the Lindblad equation for spin helix states
000834322 260__ $$aWoodbury, NY$$bInst.$$c2017
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000834322 520__ $$aUsing Lindblad dynamics we study quantum spin systems with dissipative boundary dynamics that generate a stationary nonequilibrium state with a nonvanishing spin current that is locally conserved except at the boundaries. We demonstrate that with suitably chosen boundary target states one can solve the many-body Lindblad equation exactly in any dimension. As solution we obtain pure states at any finite value of the dissipation strength and any system size. They are characterized by a helical stationary magnetization profile and a ballistic spin current which is independent of system size, even when the quantum spin system is not integrable. These results are derived in explicit form for the one-dimensional spin-1/2 Heisenberg chain and its higher-spin generalizations, which include the integrable spin-1 Zamolodchikov-Fateev model and the biquadratic Heisenberg chain.
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000834322 7001_ $$0P:(DE-Juel1)130966$$aSchütz, Gunter M.$$b1
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000834322 773__ $$0PERI:(DE-600)2844562-4$$a10.1103/PhysRevE.95.042128$$gVol. 95, no. 4, p. 042128$$n4$$p042128$$tPhysical review / E$$v95$$x2470-0045$$y2017
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