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.
Drude weight and the many-body quantum metric in one-dimensional Bose systems
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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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Effects of the Hubbard interaction on the quantum metric
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.