APS March meeting, March 14-18 2022, Chicago USA
Wed, March 16, 8:06 a.m.—8:18 a.m.
Presenter: Koji Kudo(University of Tsukuba)
Authors:Koji Kudo, (University of Tsukuba)Yoshihito Kuno, (University of Tsukuba)Yasuhiro Hatsugai, (University of Tsukuba)
By using the Laughlin's argument on a torus with two pin-holes, the fractional charge pumping of anyons is numerically demonstrated. We have confirmed that the general feature of the energy spectra remains unchanged during the flux-attachment transformation of the adiabatic heuristic principle, even though the topological degeneracy is wildly changed. The total jump of the center-of-mass induced by the Laughlin's flux insertion works well as an invariant during this process. This result is consistent with the bulk-edge correspondence of the fractional quantum Hall effect of anyons .
Wed. March 16, 4:48 p.m. – 5:24 p.m. GMT-5
Presenter: Yoshida Tsuneya (University of Tsukuba)
Authors: Yoshida Tsuneya (University of Tsukuba)
While topological edge modes are originally reported for electronic systems, it has tuned out that their platforms may extend beyond quantum systems. Searching new platforms of topological physics is considered to be significant as it may provide new insights and may result in invention of new devices. In this paper, we report the emergence of topological edge modes in classical diffusion systems and systems described by the evolutionary game theory[4,5,6]. Specifically, we elucidate the emergence of topological edge modes by discretizing diffusion equation in one and two dimensions. In addition, by analyzing the payoff matrix of rock-paper-scissors cycles, we demonstrate the emergence of chiral edge modes. If time allows, we also discuss non-Hermitian topological phenomena.