Observation of a dissipative time crystal in a strongly interacting Rydberg gas

The notion of spontaneous symmetry breaking has been well established to characterize classical and quantum phase transitions of matters, such as in condensation, crystallization, and quantum magnetism, etc. Generalizations of this paradigm to the time dimension can further lead to an exotic dynamical phase, the time crystal, which spontaneously breaks the time translation symmetry of the system [1]. While the existence of a continuous time crystal at equilibrium has been challenged by the no-go theorems [2, 3], the difficulty can be circumvented by the dissipation in an open system. Here, we report the experimental observation of such a dissipative time crystalline order in a room-temperature atomic gas, where ground-state atoms are continuously driven to Rydberg states via electromagnetically induced transparency (EIT). The emergent time crystal is revealed by persistent oscillations of the probe-field transmission, with ultralong lifetime and no observable damping during the measurement. We show that the observed limit cycles arise from the coexistence and competition between distinct Rydberg components, in agreement with a mean-field analysis derived from the microscopic model. The random phase distribution of the oscillation for repeated realizations, together with the robustness against temporal noises further supports our realization of a dissipative time crystal.