@inbook{32eddc48c43d4597b8acfea727776299,

title = "Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches",

abstract = "We prove spatial decay estimates on disorder-averaged position-momentum correlations in a gapless class of random oscillator models. First, we prove a decay estimate on dynamic correlations for general eigenstates with a bound that depends on the magnitude of the maximally excited mode. Then, we consider the situation of a quantum quench. We prove that the full time-evolution of an initially chosen (uncorrelated) product state has disorder-averaged correlations which decay exponentially in space, uniformly in time.",

author = "Houssam Abdul-Rahman and Robert Sims and G{\"u}nter Stolz",

note = "Publisher Copyright: {\textcopyright} 2018 by the authors. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",

year = "2018",

doi = "10.1090/conm/717/14439",

language = "English (US)",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "31--47",

booktitle = "Contemporary Mathematics",

address = "United States",

}