A phase of matter that repeats its structure periodically in time, driven by an external periodic force.A discrete time crystal is a phase of matter that breaks time-translation symmetry in a very particular way: it oscillates with a period that is an integer multiple of the period of the external force driving it. While a standard system driven periodically will respond with the same period, a time crystal 'locks' into a subharmonic response, like a pendulum that takes two pushes to complete one full swing. This happens without any energy input beyond the drive, and it persists indefinitely, defying the usual expectation that a many-body system will eventually thermalize and lose all memory of its initial state.
The concept was proposed by Frank Wilczek in 2012, but his original idea of a spontaneously oscillating ground state was shown to be impossible. The discrete time crystal, driven by an external periodic force, was first realized experimentally in 2016 by groups at Princeton and the University of Maryland, following a theoretical proposal by Dominic Else and colleagues.
The key is a combination of many-body localization (which prevents the system from absorbing energy and heating up) and a carefully engineered drive that flips the system's state each time. The system's quantum state is arranged so that after one period of the drive, it returns to itself only up to a symmetry operation (like flipping all spins), so it takes two periods to truly repeat. This 'time-crystalline' order is protected by the localization, making it stable against perturbations.
Time crystals are being explored as ultra-stable oscillators for precision timekeeping and as sensitive sensors for magnetic fields and other perturbations, potentially outperforming conventional atomic clocks in certain regimes.
Time crystals are the first known phase of matter that breaks time-translation symmetry, meaning their atoms are in perpetual motion even in their lowest-energy state.













