Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain

Autor: Youenn Le Gal, Xhek Turkeshi, Marco Schirò
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: SciPost Physics, Vol 14, Iss 5, p 138 (2023)
Druh dokumentu: article
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.14.5.138
Popis: 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.
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