% IMPORTANT: The following is UTF-8 encoded. This means that in the presence % of non-ASCII characters, it will not work with BibTeX 0.99 or older. % Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or % “biber”. @ARTICLE{Popkov:834322, author = {Popkov, V. and Schütz, Gunter M.}, title = {{S}olution of the {L}indblad equation for spin helix states}, journal = {Physical review / E}, volume = {95}, number = {4}, issn = {2470-0045}, address = {Woodbury, NY}, publisher = {Inst.}, reportid = {FZJ-2017-04301}, pages = {042128}, year = {2017}, abstract = {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.}, cin = {ICS-2}, ddc = {530}, cid = {I:(DE-Juel1)ICS-2-20110106}, pnm = {551 - Functional Macromolecules and Complexes (POF3-551)}, pid = {G:(DE-HGF)POF3-551}, typ = {PUB:(DE-HGF)16}, UT = {WOS:000399809800003}, pubmed = {pmid:28505738}, doi = {10.1103/PhysRevE.95.042128}, url = {https://juser.fz-juelich.de/record/834322}, }