Synthetic quantum materials with superconducting circuits

Andrew Houck, Princeton University
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Superconducting circuits have emerged as a rich platform for emulating synthetic quantum materials composed of artificial atoms and photonic lattices. Here, we apply this toolbox to a variety of systems to showcase the flexibility of using fabricated devices for quantum simulation. We highlight the property that these lattice sites are deformable and permit tight-binding lattices which are otherwise unattainable, even in solid-state systems. Networks of resonators can create new classes of materials, including lattices in an effective hyperbolic space, and are particularly well-suited to the implementation of line graphs. I will present connections between the geometric properties of these lattices, the spectrum, and the presence or absence of fragile topology in their flat bands. Finally, we will explore the physics of a quantum impurity coupled to the many modes of a photonic crystal; in particular, probing transport through the waveguide reveals that the propagation of a single photon becomes a many-body problem as multi-photon bound states participate in the scattering dynamics. Furthermore, we study the effective photon-photon interactions induced by the impurity by probing the inelastic scattering spectrum. The measured correlations in the emitted quadrature fields at each waveguide mode reveal signatures of multi-mode entanglement.


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