Injection locking of Rydberg dissipative time crystals.

Area of Science:

• Quantum Optics and Many-Body Physics
• Exploration of non-equilibrium quantum phenomena in Rydberg gases.

Background:

• Non-equilibrium Rydberg gases display unique many-body phases driven by interactions and dissipation.
• These systems can form dissipative time crystals (DTCs) characterized by sustained oscillations and broken time-translation symmetry.

Purpose of the Study:

• To demonstrate and investigate the phenomenon of injection locking in a Rydberg dissipative time crystal.
• To explore the control and stabilization of quantum temporal order using external fields.

Main Methods:

• Utilized a radio-frequency (RF) electric field to gradually influence the intrinsic oscillation frequency of the Rydberg DTC.
• Analyzed the synchronization behavior and locking bandwidth as a function of RF field amplitude.
• Investigated the synchronization of higher-order harmonics to understand nonlinear dynamics.

Main Results:

• Successfully demonstrated injection locking, where the Rydberg DTC's oscillations synchronized with the applied RF field above a critical threshold.
• Observed a linear scaling of the locking bandwidth with the RF field amplitude.
• Confirmed the entrainment of nonlinear temporal dynamics, including higher-order harmonics.

Conclusions:

• Injection locking provides a robust method for stabilizing and controlling temporal order in dissipative quantum systems.
• The phenomenon parallels classical injection locking but emerges in a strongly interacting quantum medium.
• This technique offers potential applications in precision sensing, quantum metrology, and advanced timekeeping.