The measurement-induced phase transition in strongly disordered spin chains
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909939610419200 |
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| author | Tang, Yicheng Kattel, Pradip Pal, Arijeet Yuzbashyan, Emil A. Pixley, J. H. |
| author_facet | Tang, Yicheng Kattel, Pradip Pal, Arijeet Yuzbashyan, Emil A. Pixley, J. H. |
| contents | 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 $p = 0$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_02100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The measurement-induced phase transition in strongly disordered spin chains Tang, Yicheng Kattel, Pradip Pal, Arijeet Yuzbashyan, Emil A. Pixley, J. H. Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics 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 $p = 0$. |
| title | The measurement-induced phase transition in strongly disordered spin chains |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2512.02100 |