2022/04/06 by I. Vakulchyk, Vakulchyk, Ihor, Flach, Sergej
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.2204.02717
openalex publication_date 2022/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study Anderson localization in a discrete-time quantum map dynamics in one dimension with nearest-neighbor hopping strength θ and quasienergies located on the unit circle. We demonstrate that strong disorder in a local phase field yields a uniform spectrum gaplessly occupying the entire unit circle. The resulting eigenstates are exponentially localized. Remarkably this Anderson localization is universal as all eigenstates have one and the same localization length Lloc. We present an exact theory for the calculation of the localization length as a function of the hopping, 1/Lloc=|ln(|sin(θ)|)|, that is tunable between zero and infinity by variation of the hopping θ.