Entanglement Spectroscopy and its Application to the Quantum Hall Effects

Understand

The entanglement spectroscopy, initially introduced by Li and Haldane in the context of the fractional quantum Hall effects, has stimulated an extensive range of studies.

• The entanglement spectrum is the spectrum of the reduced density matrix, when we partition the system into two.
• For many quantum systems, it unveils a unique feature: Computed from the bulk ground state wave function, the entanglement spectrum give access to the physics of edge excitations.
• Using this property, the entanglement spectroscopy has proved to be a highly valuable tool to diagnose topological ordering.