{"paper":{"title":"Wavefront solution in extended quantum circuits with charge discreteness","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"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, K. J. Chand\\'ia, Mauro Bologna, Universidad Austral de Chile, Universidad de Tarapac\\'a, Valdivia","submitted_at":"2006-03-13T20:34:59Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0603356","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}