Environmental correlations and Markovian to non-Markovian transitions in collisional models

N. K. Bernardes, A. R. R. Carvalho, C. H. Monken, and M. F. Santos

Phys. Rev. A 90, 032111 – Published 22 September 2014

Abstract

We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of the quantum maps from consecutive time steps. Our model and results serve as a platform for the microscopic study of non-Markovian behavior as well as an example of a simple scenario of non-Markovianity with purely contractive maps, i.e., with no backflow of information between system and environment.

Received 7 July 2014

DOI:https://doi.org/10.1103/PhysRevA.90.032111

Authors & Affiliations

N. K. Bernardes^1,*, A. R. R. Carvalho², C. H. Monken¹, and M. F. Santos^1,†

¹Departamento de Física, Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte 30161-970, Brazil
²Centre for Quantum Computation and Communication Technology, Department of Quantum Sciences, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 0200, Australia

^*nadjakb@fisica.ufmg.br
^†msantos@fisica.ufmg.br

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Vol. 90, Iss. 3 — September 2014

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