Effective expression of the Lee-Huang-Yang energy functional for heteronuclear mixtures

Year: 2019

Authors: Minardi F., Ancilotto F., Burchianti A., D’Errico C., Fort C., Modugno M.

Autors Affiliation: CNR, Ist Nazl Ott, I-50019 Sesto Fiorentino, Italy; Univ Firenze, LENS, I-50019 Sesto Fiorentino, Italy; Univ Firenze, Dipartimento Fis & Astron, I-50019 Sesto Fiorentino, Italy; Univ Bologna, Dipartimento Fis & Astron, I-40127 Bologna, Italy; Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy; Univ Padua, CNISM, I-35131 Padua, Italy; CNR IOM Democritos, I-26534136 Trieste, Italy; Univ Basque Country, Departemento Fis Teor & Hist Ciencia, UPV EHU, Bilbao 48080, Spain; Ikerbasque, Basque Fdn Sci, Bilbao 48013, Spain

Abstract: We consider a homogeneous heteronuclear Bose mixture with contact interactions at the mean-field collapse, i.e., with interspecies attraction equal to the mean geometrical intraspecies repulsion. We show that the Lee-Huang-Yang (LHY) energy functional is accurately approximated by an expression that has the same functional form as in the homonuclear case. The approximated energy functional is characterized by two exponents, which can be treated as fitting parameters. We demonstrate that the values of these parameters which preserve the invariance under permutation of the two atomic species are exactly those of the homonuclear case. Deviations from the exact expression of the LHY energy functional are discussed quantitatively and a specific application is described.


Volume: 100 (6)      Pages from: 063636-1  to: 063636-6

More Information: We are grateful to M. Prevedelli and L. Salasnich for comments and suggestions, and to L. Marmugi for carefully reading the manuscript. We acknowledge support by the Spanish Ministry of Science, Innovation, and Universities and the European Regional Development Fund FEDER through Grant No. PGC2018-101355-B-I00 (MCIU/AEI/FEDER,UE); the Basque Government through Grant No. IT986-16; and the Fondazione CR Firenze through project “SUPERACI-Superfluid Atomic Circuits.”
KeyWords: Quantum Mixtures; Bose-Einstein Condensates
DOI: 10.1103/PhysRevA.100.063636

Citations: 18
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