Effective expression of the Lee-Huang-Yang energy functional for heteronuclear mixtures
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.
Journal/Review: PHYSICAL REVIEW A
Volume: 100 (6) Pages from: 063636-1 to: 063636-6
KeyWords: Quantum Mixtures; Bose-Einstein CondensatesDOI: 10.1103/PhysRevA.100.063636Citations: 7data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-01-23References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here