Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum
Caterina Zerba, Alessandro Silva
SciPost Phys. Core 6, 051 (2023) · published 18 July 2023
- doi: 10.21468/SciPostPhysCore.6.3.051
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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 Schrödinger 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.
Cited by 14
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 4 Caterina Zerba,
- 2 Alessandro Silva
- 1 Technische Universität München / Technical University of Munich [TUM]
- 2 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 3 Università degli Studi di Trieste / University of Trieste [UNITS]
- 4 Munich Center for Quantum Science and Technology [MCQST]