TY  - JOUR
AU  - Popkov, V.
AU  - Schütz, Gunter M.
TI  - Solution of the Lindblad equation for spin helix states
JO  - Physical review / E
VL  - 95
IS  - 4
SN  - 2470-0045
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2017-04301
SP  - 042128
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000399809800003
C6  - pmid:28505738
DO  - DOI:10.1103/PhysRevE.95.042128
UR  - https://juser.fz-juelich.de/record/834322
ER  -