2016/11/26 by Iván Márquez-Martín, Marquez-Martin, Ivan, Giuseppe Di Molfetta +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Numerical methods in inverse problems #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1611.08718
openalex publication_date 2016/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the role played by noise on the QW introduced in [1], a 1D model that is inspired by a two particle interacting QW. The noise is introduced by a random change in the value of the phase during the evolution, from a constant probability distribution within a given interval. The consequences of introducing such kind of noise depend on both the center value and the width of that interval: a wider interval manifests as a higher level of noise. For some range of parameters, one obtains a quasi-localized state, with a diffusive speed that can be controlled by varying the parameters of the noise. The existence of this (approximately) localized state for such kind of time-dependent noise is, to the best of our knowledge, totally new, since localization (i.e., Anderson localization) is linked in the literature to a spatial random noise.