Title: Band Engineering for Quantum Simulation in Circuit QED
Abstract: The eld of circuit QED has emerged as a rich platform for both quantum com-
putation and quantum simulation. Lattices of coplanar waveguide (CPW) resonators
realize articial photonic materials in the tight-binding limit. Combined with strong
qubit-photon interactions, these systems can be used to study dynamical phase tran-
sitions, many-body phenomena, and spin models in driven-dissipative systems. I will
show that these waveguide cavities are uniquely deformable and can produce lattices
and networks which cannot readily be obtained in other systems, including periodic
lattices in a hyperbolic space of constant negative curvature. Furthermore, I will show
that the one-dimensional nature of CPW resonators leads to degenerate at bands and
that criteria for when they are gapped can be derived from graph-theoretic techniques.
The resulting gapped at-band lattices are dicult to realize in standard atomic crys-
tallography, but readily realizable in superconducting circuits.
Location and Address
321 Allen Hall