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Universal properties of Bose systems with van der Waals interaction

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Bo Gao

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LETTER TO THE EDITOR

We show that universal properties of a many-atom quantum system exist at a much higher density, or a much shorter length scale, than those implied by traditional theories for a dilute Bose gas. In particular, a universal equation of state at length scale β6 = (mC6/planck2)1/4 (corresponding to the van der Waals interaction) is defined and investigated by combining the concept of effective potential, the constrained variational method and the analytic solution for the van der Waals potential. In one application, we show that a many-atom Bose system with negative scattering length may form a metastable liquid Bose–Einstein condensate (BEC) state with an equilibrium density that is controlled by a scaled scattering length.


PACS

05.30.Jp Boson systems

33.15.Hp Barrier heights (internal rotation, inversion, rotational isomerism, conformational dynamics)

34.20.Cf Interatomic potentials and forces

Subjects

Atomic and molecular physics

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Dates

Issue 11 (14 June 2004)

Received 2 March 2004

Published 17 May 2004



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