On the quantum CTRW approach

Manuel O. Cáceres ()
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Manuel O. Cáceres: Centro Atómico Bariloche, CNEA, Instituto Balseiro, Universidad Nacional de Cuyo, and CONICET

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 4, 1-8

Abstract: Abstract The concept of continuous-time random walk is generalized into the quantum approach using a completely positive map. This approach introduces in a phenomenological way the concept of disorder in the transport problem of a quantum open system. If the waiting-time of the continuous-time renewal approach is exponential we recover a semigroup for a dissipative quantum walk. Two models of non-Markovian evolution have been solved considering different types of waiting-time functions.

Date: 2017
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DOI: 10.1140/epjb/e2017-80009-8

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