Topological charge pumping in quantum many-body systems at finite temperature

Adiabatic and periodic variations of the lattice parameters can make it possible to transport charge through a system even without net external electric or magnetic fields, known as Thouless charge pumping. The amount of charge pumped in a cycle is quantized and determined by the system's topology, which is robust against perturbations such as disorder and interactions. Recently, there has been a lot of interest in studying the Thouless pump at finite temperature to characterize the topology in finite temperature. We explore the finite temperature properties of a two-component fermionic Thouless pump in the presence of on-site interactions. It is theoretically studied and experimentally observed that, in the groundstate, on one hand, the system exhibits a breakdown of quantized pumping with increasing interaction. On the other hand, it is possible to define a pumping path that shows interaction-induced pumping. We will discuss these phenomena at finite temperatures. We will show a correlation between the excitation gaps in the system and the meltdown of the pump.