Markovianity of an emitter coupled to a structured spin chain bath

We analyze the dynamics of a spin 1/2 subsystem coupled to a spin chain. We simulate numerically the full quantum many-body system for various sets of parameters and initial states of the chain, and characterize the divisibility of the subsystem dynamics, i.e. whether it is Markovian and can be desc...

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Bibliographic Details
Published in:arXiv.org 2019-12
Main Authors: Roos, J, Cirac, J I, Bañuls, M C
Format: Article
Language:English
Subjects:
Chains
Computer simulation
Dynamic structural analysis
Emitters
Spin dynamics
Subsystems
Time dependence
Online Access:Get full text
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Summary:We analyze the dynamics of a spin 1/2 subsystem coupled to a spin chain. We simulate numerically the full quantum many-body system for various sets of parameters and initial states of the chain, and characterize the divisibility of the subsystem dynamics, i.e. whether it is Markovian and can be described by a (time dependent) master equation. We identify regimes in which the subsystem admits such Markovian description, despite the many-body setting, and provide insight about why the same is not possible in other regimes. Interestingly, coupling the subsystem at the edge, instead of the center, of the chain gives rise to qualitatively distinct behavior.
ISSN:2331-8422
DOI:10.48550/arxiv.1912.09151