Wavefront solution in extended quantum circuits with charge discreteness
Abstract
A wavefront solution for quantum (capacitively coupled) transmission lines with charge discreteness (PRB 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, f, displaying allowed and forbidden regions (gaps), as a function of f. 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.
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