A non-perturbative analysis of spin-boson interactions using the Weyl relations

• URL: http://arxiv.org/abs/2002.01994v1
• Date: Wed, 5 Feb 2020 21:02:54 GMT
• Title: A non-perturbative analysis of spin-boson interactions using the Weyl relations
• Authors: Jos\'e de Ram\'on and Eduardo Martin-Martinez
• Abstract summary: We study the dynamics of a two-level quantum system subjected to repeated interactions with a bosonic environment. We use the Weyl relations to obtain a closed expression for the resulting state of the spin despite the non-perturbative nature of the problem.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We perform a non-perturbative analysis of the dynamics of a two-level quantum system subjected to repeated interactions with a bosonic environment when these interactions are intense and localized in time. We use the Weyl relations to obtain a closed expression for the resulting state of the spin despite the non-perturbative nature of the problem. Furthermore, we study divisibility and memory effects in the dynamics and draw conclusions about the role that the quantum-mechanical features of the environment play on the dynamics of the two-level system.

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