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A non-Markovian approach for two dissipative quantum walks

Author

Listed:
  • 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)

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.

Suggested Citation

  • Manuel O. Caceres & Marco Nizama, 2018. "A non-Markovian approach for two dissipative quantum walks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-11, October.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:10:d:10.1140_epjb_e2018-90387-x
    DOI: 10.1140/epjb/e2018-90387-x
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    Statistical and Nonlinear Physics;

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