A mean-field description of strong-to-weak symmetry breaking in the monitored Bose-Hubbard model
Abstract
Strong-to-weak spontaneous symmetry breaking has emerged as a novel form of ordering in monitored and open quantum systems, yet its characterization has so far primarily relied on nonlocal diagnostics. Here, we develop a Gutzwiller mean-field framework for monitored bosonic lattice systems, enabling the direct simulation of stochastic measurement dynamics in three spatial dimensions. Applying this approach to the monitored Bose-Hubbard model with local density measurements and Lindbladian dissipation, we identify strong-to-weak symmetry breaking through a trajectory-averaged local order parameter. We find that this local order parameter becomes critical near the critical measurement strength as the charge-sharpening transition. Both transitions exhibit a dynamical exponent z=2 in the dilute limit with a correlation length ν≃ 0.6, comparable to that of the charge-sharpening transition, suggesting that the two phenomena may originate from a common underlying critical point. Our work shows a local characterization of strong-to-weak symmetry breaking, reveals its connection to charge sharpening, and provides concrete predictions for future experiments on the monitored Bose-Hubbard model.
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BibTeX
@misc{tang2026meanfield,
title = {{A mean-field description of strong-to-weak symmetry breaking in the monitored Bose-Hubbard model}},
author = {Yicheng Tang and Pradip Kattel and J. H. Pixley},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.02713},
eprint = {2606.02713},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.02713},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A mean-field description of strong-to-weak symmetry breaking in the monitored Bose-Hubbard model
AU - Yicheng Tang
AU - Pradip Kattel
AU - J. H. Pixley
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2606.02713
UR - https://arxiv.org/abs/2606.02713
AB - Strong-to-weak spontaneous symmetry breaking has emerged as a novel form of ordering in monitored and open quantum systems, yet its characterization has so far primarily relied on nonlocal diagnostics. Here, we develop a Gutzwiller mean-field framework for monitored bosonic lattice systems, enabling the direct simulation of stochastic measurement dynamics in three spatial dimensions. Applying this approach to the monitored Bose-Hubbard model with local density measurements and Lindbladian dissipation, we identify strong-to-weak symmetry breaking through a trajectory-averaged local order parameter. We find that this local order parameter becomes critical near the critical measurement strength as the charge-sharpening transition. Both transitions exhibit a dynamical exponent z=2 in the dilute limit with a correlation length ν≃ 0.6, comparable to that of the charge-sharpening transition, suggesting that the two phenomena may originate from a common underlying critical point. Our work shows a local characterization of strong-to-weak symmetry breaking, reveals its connection to charge sharpening, and provides concrete predictions for future experiments on the monitored Bose-Hubbard model.
ER -