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

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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• "Quantum Geometric Nesting" and Solvable Model Flat-Band Systems
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• Persistent currents in ultracold gases
• Altermagnetic Instabilities from Quantum Geometry
• Quantum geometric bounds for observables: Linear responses, Drude weight, and orbital magnetization
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Effects of the Hubbard interaction on the quantum metric
• Quantum geometric tensors from sub-bundle geometry
• Lattice-induced wavefunction effects on trapped superfluids
• Flat band mediated photon-photon interactions in 2D waveguide QED networks