Wavefront solution in extended quantum circuits with charge discreteness

Arica; Campus Isla Teja s/n; Casilla 567; Casilla 7-D; Chile); Constantino A. Utreras D\'iaz; (Departamento de F\'isica; Facultad de Ciencias; (Instituto de F\'isica; J. C. Flores

arxiv: cond-mat/0603356 · v1 · pith:SJKOBHPZnew · submitted 2006-03-13 · ❄️ cond-mat.mes-hall

Wavefront solution in extended quantum circuits with charge discreteness

J. C. Flores , Mauro Bologna , K. J. Chand\'ia , (Departamento de F\'isica , Universidad de Tarapac\'a , Casilla 7-D , Arica , Chile)

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Constantino A. Utreras D\'iaz (Instituto de F\'isica Facultad de Ciencias Universidad Austral de Chile Campus Isla Teja s/n Casilla 567 Valdivia

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keywords chargediscretenessquantumwavefrontproposedsolutiontransmissionallowed

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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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Wavefront solution in extended quantum circuits with charge discreteness

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