Journal Article

FZJ-2017-04301

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Solution of the Lindblad equation for spin helix states

Popkov, V. (Corresponding author) ; Schütz, G. M.FZJ*

2017
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/14745  doi:10.1103/PhysRevE.95.042128

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.

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Contributing Institute(s):

1. Theorie der Weichen Materie und Biophysik (ICS-2)

Research Program(s):

1. 551 - Functional Macromolecules and Complexes (POF3-551) (POF3-551)

Appears in the scientific report 2017

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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