Period-$n$ discrete time crystals and quasicrystals with ultracold bosons

Understand

We investigate the out-of-equilibrium properties of a system of interacting bosons in a ring lattice.

• We present a Floquet driving that induces clockwise (counterclockwise) circulation of the particles among the odd (even) sites of the ring which can be mapped to a fully connected model of clocks of two counter-rotating species.
• The clock-like motion of the particles is at the core of a period-$n$ discrete time crystal where $L=2n$ is the number of lattice sites.
• In presence of a "staircase-like" on-site potential, we report the emergence of a second characteristic timescale in addition to the period $n$-tupling.