Universality and stability for a dilute Bose gas with a Feshbach resonance

Yu Li Lee, Yu Wen Lee

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Abstract

We study the bosonic atoms with a wide Feshbach resonance at zero temperature in terms of the renormalization group. We indicate that this system will always collapse in the dilute limit. On the side with a positive scattering length, the atomic superfluid is an unstable local minimum in the dilute limit and it determines the thermodynamics of this system within its lifetime. We calculate the equilibrium properties at zero temperature in the unitary regime. They exhibit universal scaling forms in the dilute limit due to the presence of a nontrivial zero temperature, zero-density fixed point. Moreover, we find that the T=0 thermodynamics of this system in the unitary limit is exactly identical to the one for an ideal Fermi gas.

Original languageEnglish
Article number063613
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume81
Issue number6
DOIs
Publication statusPublished - 2010 Jun 8

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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