Quantum Localization near Bifurcations in Classically Chaotic Systems
classification
chao-dyn
cond-matnlin.CD
keywords
bifurcationsnearquantumairyanalyticalaroundbifurcationcalculations
read the original abstract
We show that strongly localized wave functions occur around classical bifurcations. Near a saddle node bifurcation the scaling of the inverse participation ratio on Planck's constant and the dependence on the parameter is governed by an Airy function. Analytical estimates are supported by numerical calculations for the quantum kicked rotor.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.