https://doi.org/10.1140/epjb/e2017-80009-8
Regular Article
On the quantum CTRW approach*
Centro Atómico Bariloche, CNEA, Instituto Balseiro, Universidad Nacional de Cuyo, and CONICET, 8400 Bariloche, Argentina
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Received: 4 January 2017
Received in final form: 13 February 2017
Published online: 17 April 2017
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.
Contribution to the Topical Issue “Continuous Time Random Walk Still Trendy: Fifty-year History, Current State and Outlook”, edited by Ryszard Kutner and Jaume Masoliver.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2017
