Local Response in Bulk-Gapped Interacting Systems - IPAM at UCLA

Explore a comprehensive lecture on local response in bulk-gapped interacting systems presented by Stefan Teufel at IPAM's Model Reduction in Quantum Mechanics Workshop. Delve into effective descriptions of the quantum Hall effect in thin Hall bars and examine recent findings on the response of interacting fermion systems to local perturbations. Gain insights into a unique perspective on the problem, differing from the standard mathematical physics approach. Investigate topics such as electron density in equilibrium, incompressible stripes, interacting fermions on the lattice, and adiabatic theorems for extended many-body systems. Enhance your understanding of quantum mechanics and its applications in this 53-minute presentation recorded on April 12, 2022, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.

Intro
Schematic setup of a quantum hall experiment
Electron density in equilibrium
Incompressible stripes
My topic in the following
Interacting fermions on the lattice
The standard gap condition
Why adiabatic response!
Adiabatic theorems for extended many body systems
Adiabatic theorem with a pap in the bulk
Concluding remarks