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

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arxiv 2307.10012 v1 pith:K5SF75KC submitted 2023-07-19 cond-mat.quant-gas cond-mat.mes-hall

Grazia Salerno , Tomoki Ozawa , Päivi Törmä This is my paper · ORCID
classification cond-mat.quant-gascond-mat.mes-hall
keywords many-bodyquantumdrudemetricone-dimensionalsystemsweightbosonic
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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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  1. Effects of the Hubbard interaction on the quantum metric

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    On a fermionic Creutz ladder, the dressed quantum metric matches exact diagonalization results better than the generalized quantum metric, and Hubbard interactions suppress the quantum metric.

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