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Monte Carlo simulations of the unitary Bose gas

Maurizio Rossi, Luca Salasnich, Francesco Ancilotto, and Flavio Toigo
Phys. Rev. A 89, 041602(R) – Published 16 April 2014

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 N0/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=0.702(6π2n)2/3/2m, with n the number density] and a quite large condensate fraction (N0/N=0.83).

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  • Received 7 February 2014

DOI:https://doi.org/10.1103/PhysRevA.89.041602

©2014 American Physical Society

Authors & Affiliations

Maurizio Rossi1, Luca Salasnich1, Francesco Ancilotto1,2, and Flavio Toigo1,2

  • 1Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, 8 Via Marzolo, 35122 Padova, Italy
  • 2IOM, CNR, Democritos, 265 Via Bonomea, 34136 Trieste, Italy

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Issue

Vol. 89, Iss. 4 — April 2014

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