CPM Seminar

Entanglement specrum of condensed matter systems

Andrei Bernevig

Princeton University

A new method of analyzing topologically ordered systems has been proposed: this method replaces the energy spectrum by the spectrum of the reduced density matrix of the ground state of the system, or the “entanglement spectrum”. I will review the information that entanglement spectra give for a wide range of systems in condensed matter physics, such as fractional quantum hall effect, quantum spin chains, topological insulators, and disordered systems. I will also show how the entanglement spectrum is a unique tool to examine previously unknown many-body wavefunctions such as the ground-states of Fractional Chern Insulators.