Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches

Houssam Abdul-Rahman, Robert Sims, Günter Stolz

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages31-47
Number of pages17
DOIs
StatePublished - 2018

Publication series

NameContemporary Mathematics
Volume717
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches'. Together they form a unique fingerprint.

Cite this