A non-Markovian approach for two dissipative quantum walks

Manuel O. Caceres () and Marco Nizama
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Manuel O. Caceres: Centro Atómico Bariloche, CNEA, Instituto Balseiro, Uni. Nac. Cuyo, and CONICET
Marco Nizama: Departamento de Física, Universidad Nacional del Comahue and CONICET

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 10, 1-11

Abstract: Abstract We study the non-Markovian evolution of two free spinless distinguishable particles in a 1D lattice using a completely positive map. The Renewal theory is used to introduce, in a phenomenological way, the concept of disorder in the random time-interventions of the environment. If the waiting-time of the Renewal approach is exponential, we recover a semigroup description for the density matrix. Introducing a non-Poissonian random-time bath-interventions a non-Markovian evolution for the density matrix has been worked out. Under this scenario, we have studied the time evolution of the Quantum Coherence and Negativity measures for local and non-local initial conditions. We show the relevance of the (weak) non-Markovian evolution in calculating short-time correlations, while in the long-time regime a renormalized Markovian evolution appears.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1140/epjb/e2018-90387-x

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