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024 7 _ |a 10.1103/PhysRevE.95.042128
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024 7 _ |a 1095-3787
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024 7 _ |a 1539-3755
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024 7 _ |a 1550-2376
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024 7 _ |a 2470-0045
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024 7 _ |a 2128/14745
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037 _ _ |a FZJ-2017-04301
082 _ _ |a 530
100 1 _ |a Popkov, V.
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245 _ _ |a Solution of the Lindblad equation for spin helix states
260 _ _ |a Woodbury, NY
|c 2017
|b Inst.
264 _ 1 |3 online
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|c 2017-04-17
264 _ 1 |3 print
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|b American Physical Society (APS)
|c 2017-04-01
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520 _ _ |a Using 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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542 _ _ |i 2017-04-17
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700 1 _ |a Schütz, Gunter M.
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773 1 8 |a 10.1103/physreve.95.042128
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|t Physical Review E
|v 95
|y 2017
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773 _ _ |a 10.1103/PhysRevE.95.042128
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