Modulating Chern number of spin- <i>J</i> model with the superconducting qudit

Abstract

Superconducting circuits, owing to their high tunability, provide a controllable platform for studying topological systems that are difficult to manipulate in natural materials. The topological properties of spin particles have been extensively studied and remain of significant interest. Previous studies have primarily focused on spin-1/2 models. In this article, we explore the topological properties of the spin-J system by measuring the Chern number, which characterizes nontrivial phases and topological transitions. We experimentally demonstrate topological transitions in high-spin systems. Furthermore, the feasibility of the adiabatic evolution scheme was examined in our study. Experimental results proved that our scheme can be applied to explore topological phenomenon in higher-dimensional systems.