The measurement-induced phase transition in strongly disordered spin chains

• URL: http://arxiv.org/abs/2512.02100v1
• Date: Mon, 01 Dec 2025 19:00:00 GMT
• Title: The measurement-induced phase transition in strongly disordered spin chains
• Authors: Yicheng Tang, Pradip Kattel, Arijeet Pal, Emil A. Yuzbashyan, J. H. Pixley,
• Abstract summary: We show that the prethermal and MBL regimes are unstable to local measurements along any direction.<n>In the measurement-induced volume-law phase, the saturation time scales as $t_s sim L $, contrasting the exponentially slow saturation $t_s sim eaL$ in the prethermal and MBL regimes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 $p_c \sim \exp[-αW/(1-O^2)]$. 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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