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Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain

by Youenn Le Gal, Xhek Turkeshi, Marco Schirò

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Submission summary

Authors (as registered SciPost users): Youenn Le Gal · Marco Schirò · Xhek Turkeshi
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-04-03
Date submitted: 2023-02-24 18:28
Submitted by: Le Gal, Youenn
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


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.

List of changes

Footnote added to clarify the framework in which the work is done.

Published as SciPost Phys. 14, 138 (2023)

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