Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 19: Superconductivity: Poster Session

TT 19.44: Poster

Montag, 7. März 2016, 15:00–18:00, Poster D

Dual-circuit Hamiltonian construction for superconducting elements in high-impedance environments — •Jascha Ulrich and Fabian Hassler — JARA-Institute for Quantum Information, RWTH Aachen University

Devoret has popularized a simple and easy-to-use recipe for the Hamiltonian description of arbitrary superconducting circuits involving nonlinear Josephson inductances in terms of node fluxes. In the last years, phase slip elements, nonlinear capacitors electromagnetically dual to the Josephson inductances, have attracted a lot of interest. Unfortunately, Devoret’s construction cannot be applied directly to circuits involving nonlinear capacitors. Here, we give a simple dual formulation of Devoret’s recipe in terms of loop charges which is well suited for the description of phase slip elements and is particularly timely in view of recent experimental advances in their realization using superconducting nanowire. However, we argue that our construction is not restricted to phase slip elements, but more generally useful for the effective description of Josephson junctions embedded in high-impedance environments. As an example, we illustrate how our formalism can give new physical insights and facilitate the phenomenological modeling of the fluxonium qubit and the 0-π qubit.