Discrete time crystal phases are investigated in one-dimensional spin-1/2 chains with Ising interactions that decay according to a power law, subject to periodic Floquet driving. It is shown that generalizing Stark localization to power-law interaction profiles stabilizes period-doubling dynamics over a wide range of interaction exponents. In this phase, the system acts as a quantum battery: the stored energy grows superlinearly with size, although the normalized power does not provide a scalable advantage. Additionally, the quantum Fisher information for estimating deviations in the driving period scales superextensively, exceeding the Heisenberg limit, with the degree of quantum advantage controlled by the interaction exponent without sacrificing time-crystal stability. These results make such Floquet systems a reliable platform for quantum energy storage and metrological enhancements.
A long row of swings, connected by weakening springs, when pushed rhythmically, starts swinging not in sync but twice as slowly. Physicists call such stubbornness a discrete time crystal.
In this regime, stored energy grows not as the sum of individual swings — a hundred linked units accumulate significantly more than a hundred separate ones. The main advantage is sensitivity. The slightest shift in the rhythm of kicks produces a signal inaccessible to ordinary devices, bypassing the quantum precision limit. Such sensors will be useful in high-resolution spectroscopy or ultra-precise navigation.
🎯 A hundred connected swings detect a shift in kicks ten thousand times more accurately than one — as if a team multiplies each player's power by ten.