A note on fractional moments for the one-dimensional continuum Anderson model

Abstract

We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fractional moments method. This follows via exponential decay of fractional moments of the Green function, which is shown to hold at arbitrary energy and for any single-site distribution with bounded, compactly supported density.

13 pages

References in corpus (2)

• Dynamical Localization for Unitary Anderson Models
• Absence of reflection as a function of the coupling constant

Cited by in corpus (6)

• Dynamical Localization in Disordered Quantum Spin Systems
• Quantum harmonic oscillator systems with disorder
• Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
• Multiparticle localization for disordered systems on continuous space via the fractional moment method
• Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential
• On the Kunz-Souillard approach to localization for the discrete one dimensional generalized Anderson model