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

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 …