Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 30: Superconductivity - Poster Session

TT 30.48: Poster

Monday, March 31, 2014, 15:00–19:00, P2

Analytical solutions for the energy and eigenstates of the flux qubit — •Iris Conradi, Melanie Hauck, Andreas Heimes, Michael Marthaler, and Gerd Schön — Institut für Theoretische Festkörperphysik, Karlsruhe

We analyze a gap tunable flux qubit and try to find an analytical solution for the eigenstates and their energy values. Using a semiclassical method we analyze the dependence of the potential energie spectrum on the parameters. Then we use a variation principle to determine analytical expressions for the eigenstates. As a first step we study the quartic potential. Here it is possible to find the e.g. the second excited state in good approximation. This allows us to estimate the anharmonicity of the flux qubit, which determines the speed of single qubit operations. Similarly we also find the second excited state of the double well potential.