Bose atoms in a trap: A variational Monte Carlo formulation for the universal behavior at the van der Waals length scale

Imran Khan and Bo Gao
Phys. Rev. A 73, 063619 – Published 23 June 2006

Abstract

We present a variational Monte Carlo formulation for the universal equations of state at the van der Waals length scale [B. Gao, J. Phys. B 37, L227 (2004)] for N Bose atoms in a trap. The theory illustrates both how such equations of state can be computed exactly, and the existence and the importance of long-range atom-atom correlation under strong confinement. Explicit numerical results are presented for N=3 and 5, and used to provide a quantitative understanding of the shape-dependent confinement correction that is important for few atoms under strong confinement.

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  • Received 9 March 2006

DOI:https://doi.org/10.1103/PhysRevA.73.063619

©2006 American Physical Society

Authors & Affiliations

Imran Khan and Bo Gao*

  • Department of Physics and Astronomy, University of Toledo, Toledo, Ohio 43606, USA

  • *Electronic address: bgao@physics.utoledo.edu; http://bgaowww.physics.utoledo.edu

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Issue

Vol. 73, Iss. 6 — June 2006

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