Analysis of memory effects in the dynamic evolution of the spin-boson model

• URL: http://arxiv.org/abs/2501.00350v1
• Date: Tue, 31 Dec 2024 08:56:15 GMT
• Title: Analysis of memory effects in the dynamic evolution of the spin-boson model
• Authors: Rayees A Mala, Mehboob Rashid, Muzaffar Qadir Lone,
• Abstract summary: We study the non-Markovian dynamics in the single mode spin-boson model at strong perturbations. We employ coherence defined by l1-norm to analyze the non-Markovian effects in the spin-boson model.
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• Abstract: Quantum information processing relies on how dynamics unfold in open quantum systems. In this work, we study the non-Markovian dynamics in the single mode spin-boson model at strong couplings. In order to apply perturbation theory, we transform our Hamiltonian to polaron frame, so that the effective system-bath coupling gets reduced. We employ coherence defined by l1-norm to analyze the non-Markovian effects in the spin-boson model. In the transformed frame of reference, the correlation timescales for the bath are significantly shorter than the system's relaxation timescale-a key assumption for Markovian dynamics. However, intriguingly, we demonstrate that under the large polaron theory, the reduced dynamics exhibit effective non-Markovian behaviour within a specific range of couplings, while remaining Markovian beyond this range.

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