Drude weight and the many-body quantum metric in one-dimensional Bose systems
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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6
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Physical Review B, Volume 108, issue 14, pp. 1-6
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.Description
Funding Information: Acknowledgments. We thank Ville Pyykkönen for useful discussions. The calculations have been performed using the quspin package . We acknowledge the computational resources provided by the Aalto Science-IT project. This work was supported by Academy of Finland under Projects No. 303351, No. 327293, and No. 349313. G.S. has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101025211 (TEBLA). T.O. is supported by JSPS KAKENHI Grant No. JP20H01845 and JST CREST Grant No. JPMJCR19T1. This work has been initiated and supported by the Global Intellectual Incubation and Integration Laboratory ( Lab) Program provided by WPI-AIMR, Tohoku University. | openaire: EC/H2020/101025211/EU//TEBLA
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Salerno, G, Ozawa, T & Törmä, P 2023, 'Drude weight and the many-body quantum metric in one-dimensional Bose systems', Physical Review B, vol. 108, no. 14, L140503, pp. 1-6. https://doi.org/10.1103/PhysRevB.108.L140503