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Condensed Matter > Statistical Mechanics
Title: Entanglement negativity at the critical point of measurement-driven transition
(Submitted on 30 Nov 2020 (this version), latest version 30 Aug 2021 (v2))
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.
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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