• Corpus ID: 227239402

Entanglement negativity at the critical point of measurement-driven transition

@article{Shi2020EntanglementNA,
  title={Entanglement negativity at the critical point of measurement-driven transition},
  author={Bowen Shi and Xin Dai and Yuan-Ming Lu},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
We study the entanglement behavior of a random unitary circuit punctuated by projective measurements at the measurement-driven phase transition in one spatial dimension. We numerically study the logarithmic entanglement negativity of two disjoint intervals and find that it scales as a power of the cross-ratio. We investigate two systems: (1) Clifford circuits with projective measurements, and (2) Haar random local unitary circuit with projective measurements. Previous results of entanglement… 

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References

SHOWING 1-10 OF 43 REFERENCES
Conformal field theory at central charge c=0 and two-dimensional critical systems with quenched disorder
We examine two-dimensional conformal eld theories (CFTs) at central charge c = 0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts
Phys
  • Rev. B 100, 134306
  • 2019
Phys
  • Rev. Lett. 96, 110405
  • 2006
Phys
  • Rev. A 65, 032314
  • 2002
and M
  • P. A. Fisher, arXiv e-prints arXiv:2003.12721
  • 2020
Phys
  • Rev. Lett. 109, 130502
  • 2012
Phys
  • Rev. Lett. 100, 070502
  • 2008
Phys
  • Rev. A 72, 032317
  • 2005
Phys
  • Rev. Lett. 126, 120501
  • 2021
A
  • Vishwanath, and Y.-Z. You, arXiv e-prints arXiv:2002.12385
  • 2020
...
1
2
3
4
5
...