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Non-Markovian effects in electronic and spin transport

By Pedro Ribeiro and Vitor R. Vieira


We derive a non-Markovian master equation for the evolution of a class of open quantum systems consisting of quadratic fermionic models coupled to wide-band reservoirs. This is done by providing an explicit correspondence between master equations and non-equilibrium Green's functions approaches. Our findings permit to study non-Markovian regimes characterized by negative decoherence rates. We study the real-time dynamics and the steady-state solution of two illustrative models: a tight-binding and an XY-spin chains. The rich set of phases encountered for the non-equilibrium XY model extends previous studies to the non-Markovian regime.Comment: 4 pages + 9 pages of supplementary material, 2 + 1 figure

Topics: Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Other Condensed Matter, Condensed Matter - Statistical Mechanics
Publisher: 'American Physical Society (APS)'
Year: 2014
DOI identifier: 10.1103/PhysRevB.92.100302
OAI identifier:

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