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 [1].

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[1]. 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[2]. In this paper, we report the emergence of topological edge modes in classical diffusion systems[3] 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[3]. In addition, by analyzing the payoff matrix of rock-paper-scissors cycles, we demonstrate the emergence of chiral edge modes[5]. If time allows, we also discuss non-Hermitian topological phenomena[6].