Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914948855103488 |
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| author | Granet, Etienne Zhang, Carolyn Dreyer, Henrik |
| author_facet | Granet, Etienne Zhang, Carolyn Dreyer, Henrik |
| contents | We consider Gaussian quantum circuits that alternate unitary gates and post-selected weak measurements, with spatial translation symmetry and time periodicity. We show analytically that such models can host different kinds of measurement-induced phase transitions detected by entanglement entropy, by mapping the time evolution and weak measurements to Möbius transformations. We demonstrate the existence of a log-law to area-law transition, as well as a volume-law to area-law transition. For the latter, we compute the critical exponent $ν$ for the Hartley, von Neumann and Rényi entropies exactly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10584 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit Granet, Etienne Zhang, Carolyn Dreyer, Henrik Quantum Physics Statistical Mechanics Strongly Correlated Electrons We consider Gaussian quantum circuits that alternate unitary gates and post-selected weak measurements, with spatial translation symmetry and time periodicity. We show analytically that such models can host different kinds of measurement-induced phase transitions detected by entanglement entropy, by mapping the time evolution and weak measurements to Möbius transformations. We demonstrate the existence of a log-law to area-law transition, as well as a volume-law to area-law transition. For the latter, we compute the critical exponent $ν$ for the Hartley, von Neumann and Rényi entropies exactly. |
| title | Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2212.10584 |