Z2 topological quench dynamics

Pok-Man Chiu^1*, Po-Yao Chang¹

¹Department of Physics, National Tsing Hua University, Hsinchu City, Taiwan

* Presenter:Pok-Man Chiu, email:pokman2011@gmail.com

We study a quantum quench protocol with Z2 topology in 3+1 dimensions. The Z2 feature is classified by the homotopy group Pi4(SU(2)) and the Z2 topological invariant is constructed from the dimensional reduction method. Furthermore, we show that the entanglement spectra can identify the Z2 signature. Finally, we discuss the possible realization in cold-atom systems and quantum optics.

Funding Acknowledgement: P. M. C and P. Y. C. were supported by the Young Scholar Fellowship Program under MOST Grant for the Einstein Program MOST 109-2636-M-007-003-.

Keywords: entanglement spectra, topology, quench dynamics