Anderson Localization for Time Periodic Random Schrödinger operators

Abstract

We prove that at large disorder, Anderson localization in ${\mathbb{Z}}^d$ is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations.

arXiv comment15 pgs, to appear in Commun PDE

References in corpus (1)

• Constructive Fractional-Moment Criteria for Localization in Random Operators

Cited by in corpus (1)

• Anderson Localization for Time Quasi Periodic Random Schödinger and Wave Operators