Anomalous dependence of sensitivity on observation time caused by memory retention in a system with broken time-translation symmetry
Phys. Rev. A 111, 063708 – Published 23 June, 2025
DOI: https://doi.org/10.1103/2pz7-kgxr
Abstract
In this work, we consider a composite atom-cavity system interacting with a ring resonator. In such a structure, the spontaneous breaking of time-translation symmetry can be observed. We show that a quadratic observation time dependence of the system's sensitivity to perturbations takes place in the broken time-translation symmetry regime and also in the transition area to the normal state. This dependence is due to the system's ability to retain the memory of the initial state of the atom. Outside these areas, the system does not retain the memory of the initial state of the atom, and the sensitivity scales linearly with the observation time. Our results open up a way for the implementation of systems with broken time-translation symmetry in sensing and metrology.
