%0 Journal Article
%A Popkov, V.
%A Schütz, Gunter M.
%T Solution of the Lindblad equation for spin helix states
%J Physical review / E
%V 95
%N 4
%@ 2470-0045
%C Woodbury, NY
%I Inst.
%M FZJ-2017-04301
%P 042128
%D 2017
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000399809800003
%$ pmid:28505738
%R 10.1103/PhysRevE.95.042128
%U https://juser.fz-juelich.de/record/834322