- Letter
Drude weight and the many-body quantum metric in one-dimensional Bose systems
Phys. Rev. B 108, L140503 – Published 11 October, 2023
DOI: https://doi.org/10.1103/PhysRevB.108.L140503
Abstract
We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic energy and a term proportional to the many-body quantum metric of the ground state. Notably, the many-body quantum metric determines the upper bound of the Drude weight. We validate our results on the Creutz ladder, a flat-band model, using exact diagonalization at half and unit densities. Our work sheds light on the importance of the many-body quantum geometry in one-dimensional interacting bosonic systems.
