Monte Carlo simulations of the unitary Bose gas
Authors: Rossi M., Salasnich L., Ancilotto F., Toigo F.
Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35122 Padua, Italy; Univ Padua, CNISM, I-35122 Padua, Italy; CNR, IOM, I-34136 Trieste, Italy
Abstract: We investigate the zero-temperature properties of a diluted homogeneous Bose gas made of N particles interacting via a two-body square-well potential by performing Monte Carlo simulations. We tune the interaction strength to achieve arbitrary positive values of the scattering length and compute by Monte Carlo quadrature the energy per particle E/N and the condensate fraction N-0/N of this system by using a Jastrow ansatz for the many-body wave function, which avoids the formation of the self-bound ground state and describes instead a (metastable) gaseous state with uniform density. In the unitarity limit, where the scattering length diverges while the range of the interatomic potential is much smaller than the average distance between atoms, we find a finite energy per particle [E/N=0.70 [sic](2)(6 pi(2)n)(2/3)/2m, with n the number density] and a quite large condensate fraction (N-0/N=0.83).
Journal/Review: PHYSICAL REVIEW A
Volume: 89 (4) Pages from: 041602 to: 041602
More Information: The authors thank D.E. Galli and G. Bertaina for useful discussions and suggestions. The authors acknowledge Universita di Padova (Grant No. CPDA118083), Cariparo Foundation (Eccellenza Grant No. 11/12), and MIUR (PRIN Grant No. 2010LLKJBX) for partial support.DOI: 10.1103/PhysRevA.89.041602Citations: 29data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-17References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here