Title: Wave packet dynamics of Bogoliubov quasiparticles: quantum metric effects,
Abstract: We study the dynamics of the Bogoliubov wave packet in superconductors and
calculate the supercurrent carried by the wave packet. We discover an anomalous
contribution to the supercurrent, related to the quantum metric of the Bloch
wave function. This anomalous contribution is most important for flat or
quasiflat bands, as exemplified by the attractive Hubbard models on the Creutz
ladder and sawtooth lattice. Our theoretical framework is general and can be
used to study a wide variety of phenomena, such as spin transport and exciton
transport.