2017/02/28 by Dominique Delande, L. Morales-Molina, Luis Morales-Molina +1 · 2 citations
Mathematics · Physics and Astronomy · #Anderson impurity model #Anderson localization #Computer science #Condensed matter physics #Delocalized electron #Domain (mathematical analysis) #Mathematical analysis #Mathematics #Mechanics #Periodic potential #Physics #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Space (punctuation) #Statistical physics #Topological Materials and Phenomena #Transition point #cond-mat.dis-nn #cond-mat.quant-gas #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physrevlett.119.230404
published as Phys. Rev. Lett. 119, 230404 (2017) · version accepted for publication in Phys. Rev. Lett., supplemental material included
arxiv created 2017/11/14 · openalex publication_date 2017/12/06 · arxiv updated 2017/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Systems which can spontaneously reveal periodic evolution are dubbed time crystals. This is in analogy with space crystals that display periodic behavior in configuration space. While space crystals are modeled with the help of space periodic potentials, crystalline phenomena in time can be modeled by periodically driven systems. Disorder in the periodic driving can lead to Anderson localization in time: the probability for detecting a system at a fixed point of configuration space becomes exponentially localized around a certain moment in time. We here show that a three-dimensional system exposed to a properly disordered pseudoperiodic driving may display a localized-delocalized Anderson transition in the time domain, in strong analogy with the usual three-dimensional Anderson transition in disordered systems. Such a transition could be experimentally observed with ultracold atomic gases.