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Phys. Rev. Lett. 99, 170402 (2007) [4 pages]

Superfluid Equation of State of Dilute Composite Bosons

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X. Leyronas and R. Combescot
Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France

Received 28 June 2007; published 23 October 2007

We present an exact theory of the BEC-BCS crossover in the Bose-Einstein-condensate (BEC) regime, which treats explicitly dimers as made of two fermions. We apply our framework, at zero temperature, to the calculation of the equation of state. We find that, when expanding the chemical potential in powers of the density n up to the Lee-Huang-Yang order, proportional to n3/2, the result is identical to the one of elementary bosons in terms of the dimer-dimer scattering length aM, the composite nature of the dimers appearing only in the next order term proportional to n2.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.170402
DOI:
10.1103/PhysRevLett.99.170402
PACS:
05.30.Jp, 03.75.Hh, 03.75.Ss, 67.90.+z