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International Journal of Theoretical Physics

Dynamic Evolution of Open Spin Chain in Markovian Environment

Yong-Gan Zhao, Yi-Chong Ren, Hong-Yi Fan

Published Dec 3, 2019• 0 citations
Publisher
DOI
10.1007/s10773-019-04290-6

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We study the dynamics of a chain of interacting quantum particles affected by an individual or collective environment(s), focusing on the role played by the environmental quantum correlations over the evolution of the chain. The presence of entanglement in the state of the environment magnifies the non-Markovian nature of the chain’s dynamics, giving rise to structures in figures of merit such as spin entanglement and purity that are not observed under a separable environmental state. Our analysis can be relevant to problems tackling the open-system dynamics of biological complexes of strong current interest.
We study the dynamics of a chain of interacting quantum particles affected by an individual or collective environment(s), focusing on the role played by the environmental quantum correlations over the evolution of the chain. The presence of entanglement in the state of the environment magnifies the non-Markovian nature of the chain's dynamics, giving rise to structures in figures of merit such as spin entanglement and purity that are not observed under a separable environmental state. Our analysis can be relevant to problems tackling the open-system dynamics of biological complexes of strong current interest.
Within a framework based on the tools of the theory of open quantum systems, we study non-Markovianity trends in a disordered spin chain. Towards this aim, we investigate the decay profile of bipartite entanglement shared between an ancilla-qubit and a system-qubit, which is locally connected with a disordered transverse field Heisenberg chain, acting as an effective environment for it. Subsequently, the evolution of the system part can be described using a dynamical map acting on it. The non-Markovian nature of the dynamical map is imprinted in the form of a non-monotonic decay of the initial entanglement. We show that a connection between environmental interruption and disorder strength can be established by monitoring the frequency of the entanglement revival, which effectively accounts for the backflow of information from the environment to the system.