Topology and entanglement in quench dynamics

Datum

12.09.2018

Zeit

11:00 - 12:00

Sprecher

Dr. Po-Yao Chang

Zugehörigkeit

Max Planck Institute for the Physics of Complex Systems

Sprache

en

Hauptthema

Materialien

Andere Themen

Materialien, Physik

Host

Grit Rötzer

Beschreibung

In this talk, we introduce topological phases out of equilibrium from a quantum quench setup. A classification of the topology of the quench dynamics is given by homotopy groups. We show a relation between the topological invariant of a post-quench order parameter and the topological invariant of a static Hamiltonian. The existence of the mid-gap states in the entanglement spectrum reveals the topological nature of the post-quench states. When a trivial state is under a quench to a Chern insulator, the mid-gap states in the entanglement spectrum form rings, which are analogous to the boundary Fermi rings in the Hopf insulators. Finally, we demonstrate a post-quench state in 3+1 dimensions can be characterized by the second Chern number which is a realization of the 4-dimensional quantum Hall effect. .

Links

• Seminars at the IFW

Letztmalig verändert: 12.09.2018, 02:08:25