Spontaneous symmetry breaking is a fundamental principle of physics. Time crystals are nonequilibrium phases of matter that spontaneously break temporal translational symmetry; they are subdivided into discrete and continuous types. This work investigates a system of two interacting time crystals of these types. It is shown that their coupling induces simultaneous twofold breaking of time symmetry, leading to a hierarchical crystalline phase. One of the subsystems exhibits breaking of a discrete symmetry that is absent in the generator of dynamics and emerges dynamically. This robust nonequilibrium phase is observed for various coupling schemes and persists over wide parameter ranges.
Time crystals are matter that 'ticks' even at rest, like eternal clocks predicted by Frank Wilczek. In a new experiment, physicists coupled two types: discrete (rigid rhythm, like a metronome) and continuous (tempo changes, like a spinning top). The result was a hierarchy resembling a matryoshka doll: the continuous crystal adopted the rhythm of the discrete one, and an additional temporal layer emerged that wasn't built-in originally. Usually, disorder grows in systems (entropy), but here a pattern emerged on its own — a principle familiar from the Standard Model of physics and the 'ticking' of pulsars. Remarkably, only five ytterbium ions at ultracold temperatures were enough for this. Such 'matryoshka' rhythms promise ultra-precise clocks and quantum memory based on perpetually oscillating atoms.
🎯 The first time crystal (2017) consisted of just five ytterbium ions cooled nearly to absolute zero — a tiny ensemble that gave rise to eternal motion.
🎬 In Hamilton's novel 'Stolen Fire,' time crystals serve as an energy source for interstellar ships, and in Hannu Rajaniemi's 'The Quantum Thief,' they are used as currency and memory storage.