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Derivation of Markovian master equations for spatially correlated decoherence

2013/01/31 by Jan Jeske, Jared H. Cole · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.mes-hall

paper · pdf · doi:10.1103/physreva.87.052138

published as Phys. Rev. A 87, 052138 (2013) [8 pages] · 6 page paper, 3 page appendices

arxiv created 2013/05/30 · arxiv updated 2013/05/31

Abstract

We introduce a general formalism to describe the effects of Markovian noise which is spatially correlated, typically decaying over some finite correlation length. For any system of interest, this formalism describes spatial correlations without the necessity to choose a particular microscopic model for the environment. We present a method of mapping the equations to Lindblad form and discuss functional forms for homogeneous spatial correlation functions. We also discuss two example microscopic models for the environment which exhibit non-trivial spatial-temporal correlation functions.

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