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arXiv · 2307.10012

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

Grazia Salerno·Tomoki Ozawa·Päivi Törmä
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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.

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Grazia Salerno, Tomoki Ozawa, Päivi Törmä. 2023-07-19. Drude weight and the many-body quantum metric in one-dimensional Bose systems. https://doi.org/10.1103/physrevb.108.l140503

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