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

• URL: http://arxiv.org/abs/2205.06441v1
• Date: Fri, 13 May 2022 03:48:45 GMT
• Title: Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Authors: Subhajit Sarkar and Yonatan Dubi
• Abstract summary: We show that time-crystallinity can be measured directly in the charge-current from a spin-less Hubbard ladder. We demonstrate that one can dynamically tune the system out and then back into the time-crystal phase, proving its robustness against external forcings.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Periodically-driven open quantum systems that never thermalize exhibit a discrete time-crystal behavior, a non-equilibrium quantum phenomenon that has shown promise in quantum information processing applications. Measurements of time-crystallinity are currently limited to (magneto-) optical experiments in atom-cavity systems and spin-systems making it an indirect measurement. We theoretically show that time-crystallinity can be measured directly in the charge-current from a spin-less Hubbard ladder, which can be simulated on a quantum-dot array. We demonstrate that one can dynamically tune the system out and then back into the time-crystal phase, proving its robustness against external forcings. These findings motivate further theoretical and experimental efforts to simulate the time-crystal phenomena in current-carrying nano-scale systems.

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