Quantum synchronization of a bosonic mode in a state with a Fock-type limit cycle and negative Wigner function is studied. It is shown that this non-classical state can be phase-locked to an external signal within an Arnold tongue. It is established that synchronization is a dynamical property determined by the suppression of phase slips, whose probability decreases exponentially. A method for extracting the phase slip rate from Lindblad evolution is proposed. The results open new possibilities for controlling non-classical synchronization dynamics.
The familiar metronomes placed on a movable platform eventually start to swing in sync. In the quantum world, this trick long eluded scientists. But now physicists have synchronized even the most exotic state—a Fock state, where the number of light particles is precisely defined, like in a counter. A cosmic pulsar beats a rhythm with fantastic precision; this experiment is its microscopic analog. It builds on the ideas of Roy Glauber and Serge Haroche.
The researchers used a tiny microwave cavity and filled it with an exact number of photons. This created a purely quantum state with no classical analogue—for instance, its 'probability cloud' takes on negative values, which is impossible in our world. Using spectroscopy (analyzing the response to different frequencies), they applied an external signal and found that the system 'locks' to the rhythm. On a graph, the region of stable synchronization forms a tongue-like shape: the stronger the signal, the wider the 'tongue' and the easier the phase locking.
The key result concerns reliability. Sometimes the quantum metronome stumbles—the phase slips. But the probability of such disorder drops exponentially as the signal power increases. A small boost—and the glitches vanish. This opens the door to ultra-stable quantum clocks, sensors, and computer components where rhythm is critical.
🎯 Fock states are named after Soviet physicist Vladimir Fock. Their non-classicality is confirmed by a negative Wigner function—the same test used to verify quantum computers.