Topology and entanglement in quench dynamics
- Date
- Sep 12, 2018
- Time
- 11:00 AM - 12:00 PM
- Speaker
- Dr. Po-Yao Chang
- Affiliation
- Max Planck Institute for the Physics of Complex Systems
- Language
- en
- Main Topic
- Materialien
- Other Topics
- Materialien, Physik
- Host
- Grit Rötzer
- Description
- 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
Last modified: Sep 12, 2018, 2:08:25 AM
Location
Leibniz Institut für Festkörper- und Werkstoffforschung Dresden (D2E.27, IFW Dresden)Helmholtzstraße2001069Dresden
- Homepage
- http://www.ifw-dresden.de
Organizer
Leibniz Institut für Festkörper- und Werkstoffforschung DresdenHelmholtzstraße2001069Dresden
- Homepage
- http://www.ifw-dresden.de
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