English

Injection locking of Rydberg dissipative time crystals

Quantum Physics 2025-04-24 v1

Abstract

Non-equilibrium Rydberg gases exhibit exotic many-body phases stabilized by the interplay of coherent interactions and dissipation. Strong Rydberg interactions drive sustained limit cycle oscillations, whose robustness, long-range temporal order, and spontaneous time-translation symmetry breaking establish a dissipative time crystal (DTC). Collective self-entrainment in driven ensembles leads to global synchronization and a dominant oscillation frequency. Here, injection locking of a Rydberg DTC is demonstrated using a radio-frequency (RF) electric field that gradually pulls the intrinsic oscillation toward the injected frequency. Above a critical threshold, full synchronization occurs, with the locking bandwidth scaling linearly with RF amplitude. This includes synchronization of higher-order harmonics, revealing entrainment of the system nonlinear temporal dynamics. The phenomenon parallels injection locking in classical nonlinear systems, but emerges here in a strongly interacting quantum medium. This approach establishes a new method for stabilizing and controlling quantum temporal order, with applications in precision sensing, quantum metrology, and timekeeping.

Keywords

Cite

@article{arxiv.2504.16210,
  title  = {Injection locking of Rydberg dissipative time crystals},
  author = {Darmindra Arumugam},
  journal= {arXiv preprint arXiv:2504.16210},
  year   = {2025}
}

Comments

12 pages, 9 figures

R2 v1 2026-06-28T23:07:44.045Z