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Past Event

Thesis Defense In Chemistry, Presented by James Callahan

June 8, 2022
2:00 PM - 3:00 PM
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Havemeyer 209

Thesis Defense in Chemistry

 

Applications of Coupled Cluster Theory to Models of Extended Systems of Fermions

Presented By James Callahan

 

Abstract:
I will describe the application of coupled cluster theory to model systems of metallic solids and cold-atom gases. After giving a brief overview of coupled cluster theory, I will evaluate the accuracy of several cost-saving approaches in estimating the CCSD correlation energy for a model metallic system, the uniform electron gas, in the complete basis set and thermodynamic limits. I will then present calculations of the spectral function of the uniform electron gas in these same limits, the results of which are rationalized by applying a bosonized coupled-cluster theory to an approximate, simplified Hamiltonian that couples plasmons to a structureless core hole state. Finally, I will show how coupled-cluster theory captures the many-body nature of two-component Fermi gases with tunable, attractive interactions.

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