Transport exponents of states with large support

TL;DR

This paper extends the analysis of transport exponents to initial states with larger support, providing bounds applicable to various models like Sturmian, quasi-periodic, and random polymer systems.

Contribution

It introduces generalized bounds for transport exponents applicable to initial states with support on multiple sites, expanding prior results.

Findings

Derived bounds for transport exponents in multiple models

Applied bounds to Sturmian, quasi-periodic, and random polymer models

Enhanced understanding of wave packet spreading in complex potentials

Abstract

We extend results of Damanik and Tcheremchantsev on estimating transport exponents to initial states supported on more than one site. These general results for upper and lower bounds are then applied to several classes of models, including Sturmian, quiasi-periodic and substitution-generated potentials, and random polymer model.