Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 66: Superconductivity: Tunneling, Josephson Junctions, SQUIDs

TT 66.12: Talk

Wednesday, March 18, 2015, 18:15–18:30, H 2053

Supersymmetry in a Cooper-pair box shunted by a Josephson rhombus — •Jascha Ulrich, Daniel Otten, and Fabian Hassler — JARA-Institute for Quantum Information, RWTH Aachen University

Recently, a new kind of quantum-mechanical supersymmetry has been proposed providing a generalization of supersymmetry of the free particle to the presence of a periodic potential. Here, we propose a physical realization in a Cooper-pair box shunted by an effectively pi-periodic Josephson junction rhombus. For a characteristic ratio between the strength of the 2pi- and the pi-periodic junction, this yields a degeneracy of the energy levels all the way from the weak junction/charge qubit limit to the strong junction/transmon regime. We give explicit results for the required rhombus parameters as a function of the conventional junction strength and show that tuning in and out of the supersymmetric point is easily achieved by varying the junction strength or an external gate voltage. We furthermore discuss a microwave experiment for level spectroscopy and conclude that the supersymmetry could indeed be realized with currently existing Josephson junction technology.