Physics (Internal)

Entanglement spectroscopy of quantum matter

This event is part of the Condensed Matter Theory Seminar Series.

Abstract: The entanglement spectrum, i.e. the logarithm of the eigenvalues of reduced density matrices of quantum many body wave functions, has been the focus of a rapidly expanding research endeavor recently. Initially introduced by Li & Haldane in the context of the fractional quantum Hall effect, its usefulness has been shown to extend to many more fields, such as topological insulators, fractional Chern insulators, spin liquids, continuous symmetry breaking states, etc. In this talk I will focus in particular on the perturbative structure of the entanglement spectrum in gapped phases, the entanglement spectrum across the Mott-insulator transition in the two-dimensional Bose-Hubbard model, and the relation of the entanglement spectrum of (1+1) dimensional quantum critical systems to the operator content of their underlying CFT.