Floquet Time Crystal — Period Doubling

Drive Parameters

Drive strength g 0.97 Disorder ε 0.05 Interaction J 0.15 N spins 20

Observables

Period T1

Response period—

Magnetization ⟨σ⟩—

Floquet cycle0

Phase—

About

A Floquet time crystal breaks discrete time-translation symmetry: driven at period T, the system responds at 2T. This requires many-body localization (MBL) — disorder prevents thermalization. When g≈1 (π-pulse), spins flip each drive cycle and the magnetization oscillates at 2T. Above a threshold disorder the crystal phase persists; reduce disorder to melt it.