Building Quantum Materials with Superconducting Circuits
Superconducting articial atoms are created by connecting Josephson junctions, which are nonlinear, non-dissipative elements, to simple electrical circuits. Individual articial atoms can be coupled using this same toolbox of inductors, capacitors, and Josephson junc- tions to build novel quantum materials. In this talk, I will discuss prospects for using the uxonium articial atom as a building block for topological materials. Topological phases of matter have excitations with exotic quantum statistics and have been proposed as a plat- form for robust quantum computation. Building a topological material from the bottom-up, however, requires individual components with degenerate ground states and strong coupling between these components.
I will describe two circuits based on the uxonium articial atom that meet these require- ments. The rst circuit is an articial molecule composed of two strongly-coupled uxonium articial atoms, which realizes a Hamiltonian with a dominant zz-type interaction between the individual atoms . We nd excellent agreement between the measured spectroscopy of the circuit and the theoretically-predicted level transitions, which highlights the suitability of superconducting circuits for implementing tailored quantum systems. Instead of the cos ' energy term characteristic of a Josephson junction, the second circuit realizes an unconven- tional cos 2' energy term, which results in a nearly-degenerate ground-excited state manifold. Taken together, these circuits fulll the requirements for the building blocks of topological phases and we can thus start to realize topological materials using superconducting circuits.
 A. Kou, et al., arxiv:1610.01094 (2016).