A mean-field description of strong-to-weak symmetry breaking in the monitored three-dimensional Bose-Hubbard model

• URL: http://arxiv.org/abs/2606.02713v1
• Date: Mon, 01 Jun 2026 18:00:03 GMT
• Title: A mean-field description of strong-to-weak symmetry breaking in the monitored three-dimensional Bose-Hubbard model
• Abstract summary: We study strong-to-weak symmetry breaking in monitored bosonic lattice systems.<n>We find that this local order parameter becomes critical near the same measurement strength as the charge-sharpening transition.<n>Our work establishes a local characterization of strong-to-weak symmetry breaking, and provides concrete predictions for future experiments on the monitored Bose-Hubbard.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 same measurement strength as the charge-sharpening transition and exhibits Lorentz invariance with a correlation-length exponent, $ν\simeq 1.2$, comparable to that of the charge-sharpening transition, suggesting that the two phenomena may originate from a common underlying critical point. Our work establishes 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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