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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.04491 |
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| _version_ | 1866910360351539200 |
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| author | Jonay, Cheryne Zhou, Tianci |
| author_facet | Jonay, Cheryne Zhou, Tianci |
| contents | One indication of thermalization time is subsystem entanglement reaching thermal values. Recent studies on local quantum circuits reveal two exponential stages with decay rates $r_1$ and $r_2$ of the purity before and after thermalization. We provide an entanglement membrane theory interpretation, with $r_1$ corresponding to the domain wall free energy. Circuit geometry can lead to $r_1 < r_2$, producing a ``phantom eigenvalue". Competition between the domain wall and magnon leads to $r_2 < r_1$ when the magnon prevails. However, when the domain wall wins, this mechanism provides a practical approach for measuring entanglement growth through local correlation functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04491 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Physical Theory of Two-stage Thermalization Jonay, Cheryne Zhou, Tianci Quantum Physics Disordered Systems and Neural Networks Statistical Mechanics Information Theory One indication of thermalization time is subsystem entanglement reaching thermal values. Recent studies on local quantum circuits reveal two exponential stages with decay rates $r_1$ and $r_2$ of the purity before and after thermalization. We provide an entanglement membrane theory interpretation, with $r_1$ corresponding to the domain wall free energy. Circuit geometry can lead to $r_1 < r_2$, producing a ``phantom eigenvalue". Competition between the domain wall and magnon leads to $r_2 < r_1$ when the magnon prevails. However, when the domain wall wins, this mechanism provides a practical approach for measuring entanglement growth through local correlation functions. |
| title | A Physical Theory of Two-stage Thermalization |
| topic | Quantum Physics Disordered Systems and Neural Networks Statistical Mechanics Information Theory |
| url | https://arxiv.org/abs/2310.04491 |