Nonlinear dynamics of positron resonances in a carbon nanotube

Abstract

We have investigated long-time dynamics of the transverse resonant states occurring in positron transmission through a chiral single-wall carbon nanotube in the channeling mode. This was done by a detailed analysis of quantum carpet, generated by the interference of the resonant states. We found that structure of the carpet depends strongly on the width of the initial wave packet. In the case of the narrow wave packet obtained carpet is periodic and very regular, woven by full and fractional wave packet revivals. Close to every fractional revival additional repeated and inverted reconstructed patterns were observed which do not exist in carpets for a particle in a sealed box. In the case of the wide wave packet, we were able to recognize motifs that repeat approximately, and conclude that dynamics, in this case, is quasi-periodic. This peculiar behavior was traced back to the level of coordination between fluctuations of resonances amplitude and phase functions.