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

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.

Related papers

Volume-law entanglement fragmentation of quasiparticles [0.087024326813104]
We study the entanglement entropy in quasiparticle states where certain unit patterns are excited repeatedly and sequentially in momentum space. We find that in the scaling limit, each unit pattern contributes independently and universally to the entanglement, leading to a volume-law scaling of the entanglement entropy.
arXiv Detail & Related papers (2024-11-19T09:57:40Z)
Entanglement Transition due to particle losses in a monitored fermionic chain [0.0]
We study the dynamics of the entanglement entropy under quantum jumps that induce local particle losses in a model of free fermions hopping. We show that by tuning the system parameters, a measurement-induced entanglement transition occurs where the entanglement entropy scaling changes from logarithmic to area-law.
arXiv Detail & Related papers (2024-08-07T11:30:09Z)
Fate of non-Hermitian free fermions with Wannier-Stark ladder [0.0]
The Wannier-Stark localization dynamically alters the entanglement behavior of non-Hermitian free fermions. We observe the steady state half-chain entanglement entropy and identify two distinct area law regions. Our findings highlight novel entanglement phases emerging from the interplay between the non-Hermitian skin effect and disorder-free localization.
arXiv Detail & Related papers (2024-05-29T15:00:17Z)
Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
arXiv Detail & Related papers (2023-12-21T16:53:42Z)
Entanglement phase transition due to reciprocity breaking without measurement or post-selection [59.63862802533879]
EPT occurs for a system undergoing purely unitary evolution. We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
arXiv Detail & Related papers (2023-08-28T14:28:59Z)
Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z)
Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z)
Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles [0.0]
We write down a renewal equation for the statistics of the entanglement entropy and show that depending on the spectrum of quasiparticle decay rates different entanglement scaling can arise and even sharp entanglement phase transitions. When applied to a Quantum Ising chain where the transverse magnetization is measured by quantum jumps, our theory predicts a critical phase with logarithmic scaling of the entanglement, an area law phase and a continuous phase transition between them, with an effective central charge vanishing as a square root at the transition point.
arXiv Detail & Related papers (2021-11-05T13:38:04Z)
Exact thermal properties of free-fermionic spin chains [68.8204255655161]
We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
arXiv Detail & Related papers (2021-03-30T13:15:44Z)
From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics [68.8204255655161]
We introduce the asymmetric extension of the Quantum Symmetric Simple Exclusion Process. We show that the time-integrated current of fermions defines a height field which exhibits a quantum non-linear dynamics.
arXiv Detail & Related papers (2020-01-13T14:30:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.