Prof. Edward Rezayi
California State University, Los Angeles

Entanglement Spectrum of Quantum Hall States

Topological phases of condensed matter defy the usual classifications based on the Landau paradigm of symmetry breaking and order parameter. Instead they are described by their topological order. The prime examples of such systems are the incompressible fluid ground states of the fractional quantum Hall effect. Topological order can manifest itself in various physical properties, most importantly in the structure of the edge excitations. The entanglement spectrum essentially mirrors the edge, though some important details depend on the nature of the cut. This talk will review different ways of bi-partitioning of quantum Hall systems for calculating the reduced density matrix and will contrast the important features of each method and present examples.