Drude weight and the many-body quantum metric in one-dimensional Bose systems

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.

Automated summary

This study investigates the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. The researchers find that the Drude weight is determined by the sum of the kinetic energy and a term proportional to the many-body quantum metric. Importantly, the many-body quantum metric sets the upper bound for the Drude weight. The results are validated using exact diagonalization on the Creutz ladder model. This work sheds light on the significance of many-body quantum geometry in one-dimensional interacting bosonic systems.