Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
By Marko Znidaric. 2010
140 citations recorded by the source corpus.
We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point correlations are exact for an arbitrary driving strength. In the steady state the magnetization profile and the spin current display diffusive behavior. The spin–spin correlation function, on the other hand, has long-range correlations which, though, decay to zero in either the thermodynamical limit or for equilibrium driving. At zero dephasing a nonequilibrium phase transition occurs from a ballistic transport having short-range correlations to a diffusive transport with long-range correlations.
Subfields: Atomic and Molecular Physics, and Optics, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/2a39e8feb296b7572879dc7c4d66cd3e07773d5a
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In Atomic and Molecular Physics, and Optics
In Physical and Theoretical Chemistry
Citations in the corpus
- Entanglement in a fermion chain under continuous monitoring (2018, methodology): “We note that both examples can be treated with existing methods [33,35]; the goal here is to familiarize ourselves with the GHD point of view, which is useful for the study of entanglement in Section 5 below.”