2018/03/06 by Giorgio J. Moro, Giulia DalľOsto, Giulia Dall’Osto +1 · 3 citations
Mathematics · Physics and Astronomy · #Anderson localization #Chain (unit) #Connection (principal bundle) #Delocalized electron #Mathematics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Quantum state #Quantum system #Spectroscopy and Quantum Chemical Studies #State (computer science) #Statistical physics #Unitary state #Wave function #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1016/j.chemphys.2018.03.006
published in Chemical Physics 514, 141-149 (Elsevier BV)
arxiv created 2018/03/06 · openalex publication_date 2018/03/06 · arxiv updated 2018/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the notion of equilibration for an isolated quantum system exhibiting Anderson localization. The system is assumed to be in a pure state, i.e., described by a wave-function undergoing unitary dynamics. We focus on the simplest model of a 1D disordered chain and we analyse both the dynamics of an initially localized state and the dynamics of quantum states drawn at random from the ensemble corresponding to the minimum knowledge about the initial state. While in the former case the site distribution remains confined in a limited portion of the chain, the site distribution of random pure state fluctuates around an equilibrium average that is delocalized over the entire chain. A clear connection between the equilibration observed when the system is initialized in a fully localized state and the amplitude of dynamical fluctuations of a typical random pure state is established.