Equation of state of atomic systems beyond s-wave determined by the lowest order constrained variational method: Large scattering length limit

Details Equation of state of atomic systems beyond s-wave determined by the lowest order constrained variational method: Large scattering length limit Equation of state of atomic systems beyond s-wave determined by the lowest order constrained variational method: Large scattering length limit

2007-04-13

arxiv.org/abs/0704.1804v1

Physics

Condensed Matter

Other Condensed Matter

10 pages, 7 figures

Scientific paper

Dilute Fermi systems with large s-wave scattering length a_s exhibit universal properties if the interparticle spacing r_o greatly exceeds the range of the underlying two-body interaction potential. In this regime, r_o is the only relevant length scale and observables such as the energy per particle depend only on r_o (or, equivalently, the energy E_{FG} of the free Fermi gas). This paper investigates Bose and Fermi systems with non-vanishing angular momentum l using the lowest order constrained variational method. We focus on the regime where the generalized scattering length becomes large and determine the relevant length scales. For Bose gases with large generalized scattering lengths, we obtain simple expressions for the energy per particle in terms of a l-dependent length scale \xi_l, which depends on the range of the underlying two-body potential and the average interparticle spacing. We discuss possible implications for dilute two-component Fermi systems with finite l. Furthermore, we determine the equation of state of liquid and gaseous bosonic helium.

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