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Periodically-driven open quantum systems that never thermalize exhibit adiscrete time-crystal behavior, a non-equilibrium quantum phenomenon that hasshown promise in quantum information processing applications. Measurements oftime-crystallinity are currently limited to (magneto-) optical experiments inatom-cavity systems and spin-systems making it an indirect measurement. Wetheoretically show that time-crystallinity can be measured directly in thecharge-current from a spin-less Hubbard ladder, which can be simulated on aquantum-dot array. We demonstrate that one can dynamically tune the system outand then back into the time-crystal phase, proving its robustness againstexternal forcings. These findings motivate further theoretical and experimentalefforts to simulate the time-crystal phenomena in current-carrying nano-scalesystems.

Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator