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Measurement-induced criticality in extended and long-range unitary circuits

by Shraddha Sharma, Xhek Turkeshi, Rosario Fazio, Marcello Dalmonte

This Submission thread is now published as SciPost Phys. Core 5, 023 (2022)

Submission summary

As Contributors: Marcello Dalmonte · Shraddha Sharma · Xhek Turkeshi
Arxiv Link: (pdf)
Date accepted: 2022-04-05
Date submitted: 2022-03-19 08:16
Submitted by: Dalmonte, Marcello
Submitted to: SciPost Physics Core
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


We explore the dynamical phases of unitary Clifford circuits with variable-range interactions, coupled to a monitoring environment. We investigate two classes of models, distinguished by the action of the unitary gates, which either are organized in clusters of finite-range two-body gates, or are pair-wise interactions randomly distributed throughout the system with a power-law distribution. We find the range of the interactions plays a key role in characterizing both phases and their measurement-induced transitions. For the cluster unitary gates we find a transition between a phase with volume-law scaling of the entanglement entropy and a phase with area-law entanglement entropy. Our results indicate that the universality class of the phase transition is compatible to that of short range hybrid Clifford circuits. Oppositely, in the case of power-law distributed gates, we find the universality class of the phase transition changes continuously with the parameter controlling the range of interactions. In particular, for intermediate values of the control parameter, we find a non-conformal critical line which separates a phase with volume-law scaling of the entanglement entropy from one with sub-extensive scaling. Within this region, we find the entanglement entropy and the logarithmic negativity present a cross-over from a phase with algebraic growth of entanglement with system size, and an area-law phase.

Published as SciPost Phys. Core 5, 023 (2022)

Author comments upon resubmission

Dear Editor,

we thank you for handling our work, and the Referees for the additional comments.

We have amended the description around Fig. 1b for clarity.

Yours sincerely

the authors

List of changes

1) Explicitly wrote down the layer as a product of clusters U_{{I,\dots,i+M-1},t}
2) Explicitly wrote the unitary gates within a single cluster
3) Adapted the figure captions.

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