Related papers: Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum

Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum

URL: http://arxiv.org/abs/2301.07383v2
Date: Thu, 20 Apr 2023 18:12:11 GMT
Title: Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum
Authors: Caterina Zerba, Alessandro Silva
Abstract summary: 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.
Score: 77.34726150561087
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study dynamical phase transitions occurring in the stationary state of the dynamics of integrable many-body non-hermitian Hamiltonians, which can be either realized as a no-click limit of a stochastic Schr\"{o}dinger equation or using spacetime duality of quantum circuits. In two specific models, the Transverse Field Ising Chain and the Long Range Kitaev Chain, 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: bounded entanglement entropy when the imaginary part of the quasi-particle spectrum is gapped and a logarithmic growth for gapless imaginary spectrum. This observation suggests the possibility to generalize the area-law theorem to non-Hermitian Hamiltonians.

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