Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910979436052480 |
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| author | Thakur, Ratul Pain, Bikram Roy, Sthitadhi |
| author_facet | Thakur, Ratul Pain, Bikram Roy, Sthitadhi |
| contents | We investigate the operator entanglement of the time-evolution operator through the framework of eigenstate correlations. Focusing on strongly disordered quantum many-body systems in the many-body localised (MBL) regime, we analyse the operator entanglement across various spatiotemporal cuts, revealing the logarithmic lightcone of entanglement spreading. We demonstrate that this logarithmic lightcone arises directly from a hierarchy of energyscales and lengthscales encoded in eigenstate correlations. By characterising the statistics of these hierarchical scales, we develop a microscopic theory for the spatiotemporal structure of entanglement spreading in MBL systems -- without invoking phenomenological constructs such as $\ell$-bits. This approach reveals the fundamental connection between eigenstate correlations and the emergent entanglement structure in MBL systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_02815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase Thakur, Ratul Pain, Bikram Roy, Sthitadhi Disordered Systems and Neural Networks Quantum Gases Statistical Mechanics Quantum Physics We investigate the operator entanglement of the time-evolution operator through the framework of eigenstate correlations. Focusing on strongly disordered quantum many-body systems in the many-body localised (MBL) regime, we analyse the operator entanglement across various spatiotemporal cuts, revealing the logarithmic lightcone of entanglement spreading. We demonstrate that this logarithmic lightcone arises directly from a hierarchy of energyscales and lengthscales encoded in eigenstate correlations. By characterising the statistics of these hierarchical scales, we develop a microscopic theory for the spatiotemporal structure of entanglement spreading in MBL systems -- without invoking phenomenological constructs such as $\ell$-bits. This approach reveals the fundamental connection between eigenstate correlations and the emergent entanglement structure in MBL systems. |
| title | Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase |
| topic | Disordered Systems and Neural Networks Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2504.02815 |