Driving
Floquet theorem:
H(t+T)=H(t) => psi(t) = e^{-i*eps*t} phi(t) where phi(t+T)=phi(t)
Floquet Hamiltonian:
H_F = (i/T) log U(T) where U(T) is one-period evolution operator
Quasi-energy zones:
eps defined mod omega — Brillouin zone analogue
Floquet phases:
Periodic driving creates topological phases absent in static systems (Floquet TIs, time crystals, discrete time-translation symmetry breaking).
H(t+T)=H(t) => psi(t) = e^{-i*eps*t} phi(t) where phi(t+T)=phi(t)
Floquet Hamiltonian:
H_F = (i/T) log U(T) where U(T) is one-period evolution operator
Quasi-energy zones:
eps defined mod omega — Brillouin zone analogue
Floquet phases:
Periodic driving creates topological phases absent in static systems (Floquet TIs, time crystals, discrete time-translation symmetry breaking).