Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain
We consider the dynamics of the non-Hermitian Su-Schrieffer-Heeger model arising as the no-click limit of a continuously monitored free fermion chain where particles and holes are measured on two sublattices. The model has $\mathcal{PT}$-symmetry, which we show to spontaneously break as a function o...
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| Format: | Article |
| Language: | English |
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SciPost
2023-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.5.138 |
| _version_ | 1797815096580243456 |
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| author | Youenn Le Gal, Xhek Turkeshi, Marco Schirò |
| author_facet | Youenn Le Gal, Xhek Turkeshi, Marco Schirò |
| author_sort | Youenn Le Gal, Xhek Turkeshi, Marco Schirò |
| collection | DOAJ |
| description | We consider the dynamics of the non-Hermitian Su-Schrieffer-Heeger model arising as the no-click limit of a continuously monitored free fermion chain where particles and holes are measured on two sublattices. The model has $\mathcal{PT}$-symmetry, which we show to spontaneously break as a function of the strength of measurement backaction, resulting in a spectral transition where quasiparticles acquire a finite lifetime in patches of the Brillouin zone. We compute the entanglement entropy's dynamics in the thermodynamic limit and demonstrate an entanglement transition between volume-law and area-law scaling, which we characterize analytically. Interestingly we show that the entanglement transition and the $\mathcal{PT}$-symmetry breaking do not coincide, the former occurring when the entire decay spectrum of the quasiparticle becomes gapped. |
| first_indexed | 2024-03-13T08:17:37Z |
| format | Article |
| id | doaj.art-54612c06219f4cea8f4f39801b13ce1c |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-13T08:17:37Z |
| publishDate | 2023-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-54612c06219f4cea8f4f39801b13ce1c2023-05-31T14:58:01ZengSciPostSciPost Physics2542-46532023-05-0114513810.21468/SciPostPhys.14.5.138Volume-to-area law entanglement transition in a non-Hermitian free fermionic chainYouenn Le Gal, Xhek Turkeshi, Marco SchiròWe consider the dynamics of the non-Hermitian Su-Schrieffer-Heeger model arising as the no-click limit of a continuously monitored free fermion chain where particles and holes are measured on two sublattices. The model has $\mathcal{PT}$-symmetry, which we show to spontaneously break as a function of the strength of measurement backaction, resulting in a spectral transition where quasiparticles acquire a finite lifetime in patches of the Brillouin zone. We compute the entanglement entropy's dynamics in the thermodynamic limit and demonstrate an entanglement transition between volume-law and area-law scaling, which we characterize analytically. Interestingly we show that the entanglement transition and the $\mathcal{PT}$-symmetry breaking do not coincide, the former occurring when the entire decay spectrum of the quasiparticle becomes gapped.https://scipost.org/SciPostPhys.14.5.138 |
| spellingShingle | Youenn Le Gal, Xhek Turkeshi, Marco Schirò Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain SciPost Physics |
| title | Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain |
| title_full | Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain |
| title_fullStr | Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain |
| title_full_unstemmed | Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain |
| title_short | Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain |
| title_sort | volume to area law entanglement transition in a non hermitian free fermionic chain |
| url | https://scipost.org/SciPostPhys.14.5.138 |
| work_keys_str_mv | AT youennlegalxhekturkeshimarcoschiro volumetoarealawentanglementtransitioninanonhermitianfreefermionicchain |