Many-body scar state intrinsic to periodically driven system: Rigorous results

Understand

The violation of the Floquet version of eigenstate thermalization hypothesis is systematically discussed with realistic Hamiltonians.

• Our model is based on the PXP type interactions without disorder.
• We exactly prove the existence of many-body scar states in the Floquet eigenstates, by showing the explicit expressions of the wave functions.
• Using the underlying physical mechanism, various driven Hamiltonians with Floquet-scar states can be systematically engineered.