Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 66: Superconductivity: Tunneling, Josephson Junctions, SQUIDs

TT 66.3: Talk

Wednesday, March 18, 2015, 15:30–15:45, H 2053

Non-linear classical dynamics in a superconducting circuit containing a cavity and a Josephson junction — •Selina Meister, Björn Kubala, Vera Gramich, Michael Mecklenburg, Jürgen T. Stockburger, and Joachim Ankerhold — Institute for Complex Quantum Systems, Ulm University, Albert-Einstein-Allee 11, 89069 Ulm, Germany

Motivated by recent experiments [1] a superconducting hybrid circuit consisting of a voltage biased Josephson junction in series with a resonator is studied. For strong driving the dynamics of the system can be very complex, even in the classical regime. Studying the dissipative dynamics within a Langevin-type description, we obtain well-defined dynamical steady states.

In contrast to the well-known case of anharmonic potentials, like the Duffing or parametric oscillator, in our case the non-linearity stems from the peculiar way the external drive couples to the system [2]. We investigate the resonance behaviour of this non-linear hybrid system, in particular when driving at higher- or subharmonics. The resulting down- and up-conversions can be observed both, as resonances in the I-V curve, and in the emitted microwave radiation, which yields additional spectral information.

[1] M. Hofheinz et al., PRL 106, 217005 (2011).

[2] V. Gramich et al., PRL 111, 247002 (2013).