fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909970702794752 |
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| author | Demir, Taylan |
| author_facet | Demir, Taylan |
| contents | In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework through the incorporation of fractional derivatives into the Lindblad framework. We show that the analytical and numerical results of our analytical and numerical models, demonstrate that fractional dynamics produces long-memory coherence decay naturally and provides an interpretable and flexible model of non-Markovianity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics Demir, Taylan Quantum Physics Mathematical Physics 81Q99, 35R11, 47D06 In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework through the incorporation of fractional derivatives into the Lindblad framework. We show that the analytical and numerical results of our analytical and numerical models, demonstrate that fractional dynamics produces long-memory coherence decay naturally and provides an interpretable and flexible model of non-Markovianity. |
| title | fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics |
| topic | Quantum Physics Mathematical Physics 81Q99, 35R11, 47D06 |
| url | https://arxiv.org/abs/2512.17144 |