Wavefront solution in extended quantum circuits with charge discreteness
Mesoscale and Nanoscale Physics
2016-08-16 v1
Abstract
A wavefront solution for quantum (capacitively coupled) transmission lines with charge discreteness (PRB {\bf 64}, 235309 (2001)) is proposed for the first time. The nonlinearity of the system becomes deeply related to charge discreteness. The wavefront velocity is found to depend on a step discontinuity on the (pseudo) flux variable, , displaying allowed and forbidden regions (gaps), as a function of . A preliminary study of the stability of the solutions is presented. The dual transmission line hamiltonian is proposed and finally, we find a connection with the (quantum) Toda lattice.
Cite
@article{arxiv.cond-mat/0603356,
title = {Wavefront solution in extended quantum circuits with charge discreteness},
author = {J. C. Flores and Mauro Bologna and K. J. Chandía and Constantino A. Utreras Díaz},
journal= {arXiv preprint arXiv:cond-mat/0603356},
year = {2016}
}
Comments
1 FIGURE