On the quantum CTRW approach

Regular Article

DOI: 10.1140/epjb/e2017-80009-8

Cite this article as:
Cáceres, M.O. Eur. Phys. J. B (2017) 90: 74. doi:10.1140/epjb/e2017-80009-8
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Part of the following topical collections:
  1. Topical issue: Continuous Time Random Walk still trendy: Fifty-year history, current state, and outlook

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.

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Centro Atómico Bariloche, CNEA, Instituto Balseiro, Universidad Nacional de CuyoBarilocheArgentina

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