Effects of long-range hopping in the Bose-Hubbard model

Year: 2019

Authors: Ferraretto M., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; CNR, INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy

Abstract: We investigate the effects of an extended Bose-Hubbard model with a long-range hopping term on the Mott insulator-superfluid quantum phase transition. We consider the effects of a power-law decaying hopping term, and we show that the Mott phase is shrunk in the parameters’ space. We provide an exact solution for one-dimensional lattices and also two reliable approximations for higher dimensions. Finally, we extend these results to a more realistic situation in which long-range hopping is made by a combination of power-law and screening terms, studying the main effects on the Mott lobes.

Journal/Review: PHYSICAL REVIEW A

Volume: 99 (1)      Pages from: 013618-1  to: 013618-5

More Information: The authors thank M. Faccioli, S. M. Giampaolo, and F. Toigo for useful discussions. L. S. acknowledges for partial support the FFABR grant of Italian Ministry of Education, University and Research.
KeyWords: EINSTEIN CONDENSATION; MOTT-INSULATOR; GAS; TRANSITION; SUPERFLUID
DOI: 10.1103/PhysRevA.99.013618

Citations: 4
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