Purification Timescales in Monitored Fermions
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915111019479040 |
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| author | Lóio, Hugo De Luca, Andrea De Nardis, Jacopo Turkeshi, Xhek |
| author_facet | Lóio, Hugo De Luca, Andrea De Nardis, Jacopo Turkeshi, Xhek |
| contents | We investigate the crucial role played by a global symmetry in the purification timescales and the phase transitions of monitored free fermionic systems separating a mixed and a pure phase. Concretely, we study Majorana and Dirac circuits with $\mathbb{Z}_2$ and U(1) symmetries, respectively. In the first case, we demonstrate the mixed phase of $L$ sites has a purification timescale that scales as $τ_P\sim L \ln L $. At $1\ll t\ll τ_P$ the system attains a finite residual entropy, that we use to unveil the critical properties of the purification transition. In contrast, free fermions with U(1) manifest a sublinear purification timescale at any measurement rate and an apparent Berezinskii-Kosterlitz-Thouless criticality. We find the mixed phase is characterized by $τ_P\sim L^{α(p)}$, with a continuously varying exponent $α(p)<1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12216 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Purification Timescales in Monitored Fermions Lóio, Hugo De Luca, Andrea De Nardis, Jacopo Turkeshi, Xhek Statistical Mechanics Disordered Systems and Neural Networks Strongly Correlated Electrons Quantum Physics We investigate the crucial role played by a global symmetry in the purification timescales and the phase transitions of monitored free fermionic systems separating a mixed and a pure phase. Concretely, we study Majorana and Dirac circuits with $\mathbb{Z}_2$ and U(1) symmetries, respectively. In the first case, we demonstrate the mixed phase of $L$ sites has a purification timescale that scales as $τ_P\sim L \ln L $. At $1\ll t\ll τ_P$ the system attains a finite residual entropy, that we use to unveil the critical properties of the purification transition. In contrast, free fermions with U(1) manifest a sublinear purification timescale at any measurement rate and an apparent Berezinskii-Kosterlitz-Thouless criticality. We find the mixed phase is characterized by $τ_P\sim L^{α(p)}$, with a continuously varying exponent $α(p)<1$. |
| title | Purification Timescales in Monitored Fermions |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2303.12216 |