• Accepted Paper

Measurement induced faster symmetry restoration in quantum trajectories

Katha Ganguly and Bijay Kumar Agarwalla

Phys. Rev. B - Accepted 28 October, 2026

DOI: https://doi.org/10.1103/63pk-q9gt

Abstract

Symmetries play a central role in quantum systems by protecting robust physical features, enabling noise-resilient subspaces, and reducing the effective complexity of many-body systems. However, even when the governing dynamics respects a symmetry, individual quantum states may break it, limiting these advantages. To circumvent this, we propose an efficient mechanism for restoring global U(1) symmetry at the level of states via continuous measurement of global and local observables. We show that under global monitoring, symmetry restoration can be exponentially accelerated by superposing distant charge sectors in the initial state, whereas states composed of adjacent charge sectors inevitably exhibit slow restoration. We further establish the universality of this behavior across different measurement protocols. Finally, we show that local monitoring can overcome this slow restoration for certain states, achieving even faster relaxation. Our mechanism is readily implementable in existing quantum technological platforms, providing a practical route to dynamical symmetry restoration.

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