Monte Carlo simulations of the unitary Bose gas

Year: 2014

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).


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.89.041602

Citations: 29
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