2015/04/30 by Isam Manai, Jean‐François Clément, Jean-François Clément +5 · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Anderson impurity model #Anderson localization #Anisotropy #Condensed matter physics #Dimension (graph theory) #Invariant (physics) #Magnetic field #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Quasiperiodic function #Random lasers and scattering media #Statistical physics #Wave function #Weak localization #cond-mat.dis-nn #quant-ph
paper · pdf · doi:10.1103/physrevlett.115.240603
published as Physical Review Letters, American Physical Society, 2015, 115 (24), pp.240603 · Published : Physical Review Letters 115, 240603 (2015)
openalex publication_date 2015/12/10 · arxiv created 2016/07/13 · arxiv updated 2016/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Dimension 2 is expected to be the lower critical dimension for Anderson localization in a time-reversal-invariant disordered quantum system. Using an atomic quasiperiodic kicked rotor-equivalent to a two-dimensional Anderson-like model-we experimentally study Anderson localization in dimension 2 and we observe localized wave function dynamics. We also show that the localization length depends exponentially on the disorder strength and anisotropy and is in quantitative agreement with the predictions of the self-consistent theory for the 2D Anderson localization.