Volume-to-Area Law Entanglement Transition in a non-Hermitian Free
Fermionic Chain
- URL: http://arxiv.org/abs/2210.11937v1
- Date: Fri, 21 Oct 2022 13:13:16 GMT
- Title: Volume-to-Area Law Entanglement Transition in a non-Hermitian Free
Fermionic Chain
- Authors: Youenn Le Gal, Xhek Turkeshi, Marco Schir\`o
- Abstract summary: We compute the entanglement entropy's dynamics in the thermodynamic limit and demonstrate an entanglement transition between volume-law and area-law scaling.
Interestingly we show that the entanglement transition and the $mathcalPT$-symmetry breaking do not coincide, the former occurring when the entire decay spectrum of the quasiparticle becomes gapped.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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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