Soliton capacitors in a Cooper-pair box transmission line

Toshiyuki Fujii; Manami Nishimura; Noriyuki Hatakenaka

doi:10.1103/PhysRevB.111.174522

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Soliton capacitors in a Cooper-pair box transmission line

Toshiyuki Fujii, Manami Nishimura, Noriyuki Hatakenaka

DOI 10.1103/PhysRevB.111.174522 · Physical Review B

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Abstract

We propose a superconducting circuit that supports the propagation of Korteweg–de Vries (KdV)-type voltage solitons. By employing Cooper-pair boxes as nonlinear capacitors, we realize a dual system to the previously reported current solitons based on nonlinear inductors. The proposed voltage solitons manifest as propagating capacitors, carrying a velocity-dependent induced charge. This unique characteristic facilitates local electrostatic interactions, which are dual to the magnetic interactions mediated by fluxons.