Universal crossovers in weakly-monitored quantum critical states

2026/08/03 by Abhishek Kumar, Rushikesh A. Patil, Andreas W. W. Ludwig +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

16 pages, 8 figures, 2 tables

arxiv created 2026/08/03 · arxiv updated 2026/08/05

Abstract

We study post-measurement ensembles of ground states of tricritical and critical 1D quantum Ising Hamiltonians subjected, respectively, to weak energy and spin measurements without post-selection. These measurements act as relevant perturbations about the unmeasured critical ground states. Using finite-size renormalization group (RG) crossover analyses, we characterize their universal properties through the entanglement effective central charge, effective Affleck-Ludwig boundary entropy, and signatures of multifractality from moments of measurement-averaged correlation functions. In both cases, we find evidence for "measurement-dominated" or "measurement-altered" fixed points governed by the underlying Born-rule randomness. For critical Ising, we find a direct RG flow to a projective-measurement fixed point with area-law entanglement, whereas for the tricritical Ising model, we find evidence for a weak-measurement fixed point with logarithmic entanglement. These results clarify the RG-flow structure of weakly measured multicritical Ising ground states and show how intrinsic measurement-induced randomness can generate complex and rich universal long-distance scaling behavior in the post-measurement ensembles, accessible to controlled analytical RG and numerical finite-size RG crossover analyses.

Citations

• Learning measurement-induced phase transitions using attention
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• Practical roadmap to measurement-altered criticality in Rydberg arrays
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• Rényi entropy of a line in two-dimensional Ising models
• Random Defect Lines in Conformal Minimal Models
• Conformal Field Theory Approach to the Kondo Effect

Cited by

• Theory of Measurement-Altered Criticality