*Special ITAMP Lunch Seminar*
*Speaker: * Alicia Kollar (Princeton University)
*Date:* Thursday, July 26th
*Time:* 12:00-1:00 pm
Includes Pizza.
*Title: Hyperbolic and Flat-Band Lattices in Circuit QED*
*Abstract: *The field of circuit QED has emerged as a rich platform for
both quantum computation and quantum simulation. The unique deformability
of coplanar waveguide (CPW) microwave resonators enables realization of
artificial photonic materials with novel lattice structures. We will
present two classes of such examples. First, we will show that these
techniques can be used to produce periodic lattices in a hyperbolic space
of constant negative curvature. Second, we present examples of Euclidean
lattices which exhibit gapped flat bands. Because CPW resonators are
one-dimensional objects, the lattices formed are naturally line graphs. We
will show that line graphs lead naturally to flat bands and that criteria
for when they are gapped can be derived from graph-theoretic techniques.
The resulting gapped flat-band lattices are typically forbidden in standard
atomic crystallography, but readily realizable in superconducting
circuits. With the addition of high-kinetic-inductance materials or
transmon qubits these systems will constitute a table-top simulator of
interacting and quantum mechanical particles in strong curvature.
*Location: *B-106 @ Center for Astrophysics (60 Garden Street)
*Directions: *After entering the lobby of the CfA, turn right to enter the
hallway of the B building. In the hallway, turn right again, B-106 will be
at the end of the hallway on the left side.
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