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arXiv · 2512.02100

The measurement-induced phase transition in strongly disordered spin chains

Yicheng Tang·Pradip Kattel·Arijeet Pal·Emil A. Yuzbashyan·J. H. Pixley
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Abstract

We investigate the dynamics of strongly disordered spin chains in the presence of random local measurements. By studying the transverse-field Ising model with a site-dependent random longitudinal field and an effective $l$-bit many-body localized Hamiltonian, we show that the prethermal and MBL regimes are unstable to local measurements along any direction. Any non-zero measurement density induces a volume-law entangled phase with a subsequent phase transition into an area-law state as the measurement rate is further increased. The critical measurement rate $p_c$, where the transition occurs, is exponentially small in the strength of disorder $W$ and the average overlap between the measurement operator and the local integrals of motion $O$ as $p_c \sim \exp[-\alpha W/(1-O^2)]$. In the measurement-induced volume-law phase, the saturation time scales as $t_s \sim L $, contrasting the exponentially slow saturation $t_s \sim e^{aL}$ in the prethermal and MBL regimes at $p = 0$.

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Yicheng Tang, Pradip Kattel, Arijeet Pal, Emil A. Yuzbashyan, J. H. Pixley. 2025-12-01. The measurement-induced phase transition in strongly disordered spin chains. https://arxiv.org/abs/2512.02100

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