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Wavefront solution in extended quantum circuits with charge discreteness

J. C. Flores·Mauro Bologna·K. J. Chandía·Constantino A. Utreras Díaz
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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, $f$, 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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J. C. Flores, Mauro Bologna, K. J. Chandía, Constantino A. Utreras Díaz. 2006-03-13. Wavefront solution in extended quantum circuits with charge discreteness. https://doi.org/10.1103/physrevb.74.193319

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