Drude weight and the many-body quantum metric in one-dimensional Bose systems
Quantum Gases
2023-10-18 v1 Mesoscale and Nanoscale Physics
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.
Keywords
Cite
@article{arxiv.2307.10012,
title = {Drude weight and the many-body quantum metric in one-dimensional Bose systems},
author = {Grazia Salerno and Tomoki Ozawa and Päivi Törmä},
journal= {arXiv preprint arXiv:2307.10012},
year = {2023}
}