SciPost Physics Core

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.

• Piccitto et al., Entanglement dynamics with string measurement operators
  SciPost Phys. Core 6, 078 (2023) [Crossref]
• Lami et al., Continuously monitored quantum systems beyond Lindblad dynamics
  New J. Phys. 26, 023041 (2024) [Crossref]
• Russomanno et al., Entanglement transitions and quantum bifurcations under continuous long-range monitoring
  Phys. Rev. B 108, 104313 (2023) [Crossref]
• Zhou, Entanglement Phase Transitions in Non-Hermitian Kitaev Chains
  Entropy 26, 272 (2024) [Crossref]
• Morral-Yepes et al., Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
  Phys. Rev. B 108, 224304 (2023) [Crossref]
• Paviglianiti et al., Multipartite entanglement in the measurement-induced phase transition of the quantum Ising chain
  Phys. Rev. B 108, 184302 (2023) [Crossref]