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Measurement induced criticality in quasiperiodic modulated random hybrid circuits
- Source :
- Phys. Rev. B 108, 184204 (2023)
- Publication Year :
- 2023
-
Abstract
- We study one-dimensional hybrid quantum circuits perturbed by quenched quasiperiodic (QP) modulations across the measurement-induced phase transition (MIPT). Considering non-Pisot QP structures, characterized by unbounded fluctuations, allows us to tune the wandering exponent $\beta$ to exceed the Luck bound $\nu \ge 1/(1-\beta)$ for the stability of the MIPT, where $\nu=1.28(2)$. Via robust numerical simulations of random Clifford circuits interleaved with local projective measurements, we find that sufficiently large QP structural fluctuations destabilize the MIPT and induce a flow to a broad family of critical dynamical phase transitions of the infinite QP type that is governed by the wandering exponent, $\beta$. We numerically determine the associated critical properties, including the correlation length exponent consistent with saturating the Luck bound, and a universal activated dynamical scaling with activation exponent $\psi \cong \beta$, finding excellent agreement with the conclusions of real space renormalization group calculations.<br />Comment: 14 pages, 13 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 108, 184204 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2308.03844
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.108.184204