William Horvat

I'm interested in model building and simulation of chemical and physical systems at the level of many-body quantum mechanics, primarily:

1) collective phenomena and correlated states of driven systems
2) dynamics of quantum information encoded in quantum states
3) localization in disordered systems

Previously, I spent time as a guest researcher at the Flatiron Institute's Center for Computational Quantum Physics, following an M.S. at UChicago. The throughline of my work at both institutions was the study of non-Hermitian physics.

RESEARCH

Spin Network Substructure by von Neumann Algebras

The application of von Neumann projection operators in determining substructure in spin glasses, particularly invariants when moving between dimensions d and d-1.

in-progress

Light-Matter Coupling

Analytical solutions and DFT numerical simulations of optically enduced exceptional points in molecular systems.

project page

Exceptional Point Phenomena

Extending parameter-based exceptional point models to real-space models, focused on symmetry breaking and topological phenomena.

project page

Ab-initio Quantum Chemistry by Kolmogorov-Arnold Networks

Extending the interpretability of Kolmogorov-Arnold Networks (KANs) with an aim to develop an ab-initio method for ground state and wavefunction prediction.

project page | code

Bacterial Based Biosensors

At Prospect Bio we developed bacterial gene circuits in a effort to replace traditional analytical tools for chemical identification and quantification.

project page