Non-Markovianity, coherence and system-environment correlations in a long-range collision model

Abstract

We consider the dynamics of a collisional model in which both the system and environment are embodied by spin-$1/2$ particles. In order to include non-Markovian features in our model we introduce interactions among the environmental qubits and investigate the effect that different models of such interaction have on the degree of non-Markovianity of the system's dynamics. By extending that interaction beyond the nearest-neighbour, we enhance the degree of non-Markovianity in the system's dynamics. A further significant increase can be observed if a collective interaction with the forthcoming environmental qubits is considered. However, the observed degree of non-Markovianity in this case is non-monotonic with the increasing number of qubits included in the interaction. Moreover, one can establish a connection between the degree of non-Markovianity in the evolution of the system and the fading behaviour of quantum coherence in its state as the number of collisions grow. We complement our study with an investigation on system-environment correlations and present an example of their importance on a physical upper bound on the trace distance derivative.

9 pages, 7 figures. Close to published version

References in corpus (6)

• Collision-model-based approach to non-Markovian quantum dynamics
• Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
• Simulation of indivisible qubit channels in collision models
• Non-Markovianity through flow of information between a system and an environment
• Dynamical role of system-environment correlations in non-Markovian dynamics
• The Second Laws for an Information driven Current through a Spin Valve

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