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DTSTAMP:20191206T114800Z
UID:5c5c38a48b897654678547@ist.ac.at
DTSTART:20200331T110000
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DESCRIPTION:Speaker: Mattias Fitzpatrick\nhosted by Andrew Higginbotham\nAb
stract: In recent years\, superconducting circuits have emerged as a promi
sing platform for quantum computation and quantum simulation. One of the m
ain driving forces behind this progress has been the ability to fabricate
relatively low-disorder\, low-loss circuits with a high-degree of control
over many of the circuit parameters\, both in fabrication and in-situ. Thi
s coupled with advances in cryogenics and microwave control electronics ha
ve significantly improved the rate of progress. The field\, which is broad
ly called circuit quantum electrodynamics (cQED) has become one of the cle
anest and most flexible platforms for studying strong interactions between
light and matter. In this talk we will describe the study of non-Euclidea
n lattices which can be made from coplanar waveguide (CPW) lattices. This
work relies on the fact that the frequency of the resonators in the lattic
e is dependent only on the total length of the cavities\, not the length b
etween the ends of the cavity. This means that we can form lattices from C
PW cavities where the edge distance is not the same. The first result in t
his direction is the fabrication and measurement of a finite piece of a hy
perbolic graph\, formed from a regular tiling of heptagons. This lattice h
ad an effective curvature which is quite large and in principle exhibited
a gapped flat band. Following up on the hyperbolic lattice work\, we will
describe the study of exotic new lattices which have band structures that
exhibit exotic features such as gapped flat bands and Dirac cones. This wo
rk involves looking at the spectra of graphs and their corresponding line-
graphs\, which are the graphs which are pertinent to the tight-binding Ham
iltonian in CPW lattice devices. In this work\, we derive the mathematical
relationship between the spectrum of a graph and its line graph as well a
s what is known as the split graph. These operations allow us to exactly m
aximize the gap between the flat band and the rest of the spectrum for cer
tain line graph lattices.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, IST Austria
ORGANIZER:swiddman@ist.ac.at
SUMMARY:Non-equilibrium Quantum Simulation with Superconducting Circuits
URL:https://talks-calendar.app.ist.ac.at/events/2388
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