Abstract
We obtain a rigorous solution of universal Bose gases near resonance and offer an answer to one of the long-standing challenges of quantum gases at large scattering lengths, where the standard dilute theory breaks down. The solution was obtained by using an expansion near four spatial dimensions. In dimension , the chemical potential of Bose gases near resonance is shown to approach the universal value , where is the Fermi energy defined for a Fermi gas of density , and the condensation fraction is equal to . We also discuss the implications on ultracold gases in physical dimensions.
- Received 28 August 2013
DOI:https://doi.org/10.1103/PhysRevA.89.033614
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