Non-linear dynamics of the fermion-boson model: interference between revivals and the transition to irregularity

Abstract

Extends studies of the quantised fermion-boson model. Parallel numeric and approximate analytic advances allow greater understanding of the 'collapse' regions between successive 'revivals' in the fermion energy evolution. The authors give an estimate of the time for the onset of continuous irregularity as a function of the average boson number.