The quantum kicked rotor can actually formally be related to the Anderson tight-binding model a celebrated Hamiltonian that describes electrons in a disordered lattice with lattice site state | n ⟩ ⟩ , where Anderson localization takes place (in one dimension) H ^ ^ = ∑ ∑ n ε ε n | n ⟩ ⟩ ⟨ ⟨ n | + ∑ ∑ n ≠ ≠ m t n − − m | n ⟩ ⟩ ⟨ ⟨ m | where the ε ε n are random on-site energies, and the t n − − m are the hoping amplitudes between sites n and m .