2015/02/28 by Arkadiusz Kosior, Jan Major, Marcin Płodzień +1
Mathematics · Physics and Astronomy · #Anderson impurity model #Anderson localization #Band-pass filter #Binary number #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Diagonal #Electron #Filter (signal processing) #Limit (mathematics) #Mathematical analysis #Mathematics #Modulation (music) #Optics #Perspective (graphical) #Physics #Point (geometry) #Quantum many-body systems #Quantum mechanics #Random lasers and scattering media #Statistical physics #Work (physics) #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.92.023606
published as Phys. Rev. A 92, 023606 (2015) · version close to published vesion
openalex publication_date 2015/08/07 · arxiv created 2015/08/08 · arxiv updated 2015/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the celebrated problem of the one-dimensional tight-binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile, heavy particles that affect the motion of the lighter, mobile species in the limit of no interaction between mobile particles. Fast, periodic modulations of interspecies interactions allow us to produce an effective model with small diagonal and large off-diagonal disorder previously unexplored in cold-atom experiments. We present an expression for an approximate Anderson localization length and verify the existence of the well-known, extended resonant mode. We also analyze the influence of nonzero next-nearest-neighbor hopping terms. We point out that periodic modulation of interaction allows disorder to work as a tunable bandpass filter for momenta.