Analysis of memory effects in the dynamic evolution of the spin-boson model
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| Format: | Preprint |
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2024
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| _version_ | 1866929653842706432 |
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| author | Mala, Rayees A Rashid, Mehboob Lone, Muzaffar Qadir |
| author_facet | Mala, Rayees A Rashid, Mehboob Lone, Muzaffar Qadir |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of memory effects in the dynamic evolution of the spin-boson model Mala, Rayees A Rashid, Mehboob Lone, Muzaffar Qadir Quantum Physics Other Condensed Matter 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. |
| title | Analysis of memory effects in the dynamic evolution of the spin-boson model |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2501.00350 |