# Wave packet dynamics of Bogoliubov quasiparticles: quantum metric effects

## TL;DR

This paper investigates how quantum metric influences the dynamics of Bogoliubov quasiparticles in superconductors, revealing an anomalous supercurrent contribution especially significant in flat-band systems.

## Contribution

It introduces a theoretical framework linking quantum metric to wave packet dynamics and supercurrent in superconductors, highlighting effects in flat-band models.

## Key findings

- Quantum metric causes an anomalous supercurrent contribution.
- Flat or quasiflat bands exhibit enhanced quantum metric effects.
- Framework applicable to spin and exciton transport phenomena.

## 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.