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Condensed Matter > Statistical Mechanics

Title: Entanglement negativity at the critical point of measurement-driven transition

Abstract: 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 entropy and mutual information point to an emergent conformal invariance of the measurement-driven transition. Remarkably, we identify a power-law behavior of entanglement negativity at the critical point, suggesting that the critical behavior of the measurement-driven transition goes beyond any unitary conformal field theory.
Comments: 12 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
Cite as: arXiv:2012.00040 [cond-mat.stat-mech]
  (or arXiv:2012.00040v1 [cond-mat.stat-mech] for this version)

Submission history

From: Bowen Shi [view email]
[v1] Mon, 30 Nov 2020 19:00:18 GMT (116kb,D)
[v2] Mon, 30 Aug 2021 08:49:47 GMT (108kb,D)

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