Converting long-range entanglement into mixture: tensor-network approach to local equilibration
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866911817253519360 |
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| author | Frías-Pérez, Miguel Tagliacozzo, Luca Bañuls, Mari Carmen |
| author_facet | Frías-Pérez, Miguel Tagliacozzo, Luca Bañuls, Mari Carmen |
| contents | In the out-of-equilibrium evolution induced by a quench, fast degrees of freedom generate long-range entanglement that is hard to encode with standard tensor networks. However, local observables only sense such long-range correlations through their contribution to the reduced local state as a mixture. We present a tensor network method that identifies such long-range entanglement and efficiently transforms it into mixture, much easier to represent. In this way, we obtain an effective description of the time-evolved state as a density matrix that captures the long-time behavior of local operators with finite computational resources. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_04291 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Converting long-range entanglement into mixture: tensor-network approach to local equilibration Frías-Pérez, Miguel Tagliacozzo, Luca Bañuls, Mari Carmen Quantum Physics Statistical Mechanics Strongly Correlated Electrons In the out-of-equilibrium evolution induced by a quench, fast degrees of freedom generate long-range entanglement that is hard to encode with standard tensor networks. However, local observables only sense such long-range correlations through their contribution to the reduced local state as a mixture. We present a tensor network method that identifies such long-range entanglement and efficiently transforms it into mixture, much easier to represent. In this way, we obtain an effective description of the time-evolved state as a density matrix that captures the long-time behavior of local operators with finite computational resources. |
| title | Converting long-range entanglement into mixture: tensor-network approach to local equilibration |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2308.04291 |