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arXiv · 0910.0603

The stability of the low-dimensional mixtures of dilute quantum gases

Yu-Li Lee·Yu-Wen Lee
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Abstract

We study the stability of the dilute Bose-Fermi and Bose-Bose mixtures with repulsive interactions in one and two dimensions in terms of the renormalization group. For the Bose-Fermi mixture, we show that the uniform mixture is stable against de-mixing in the dilute limit. For the Bose-Bose mixture, we give the stability conditions in the dilute limit. As a byproduct, we also calculate the critical temperature for the superfluid phase of the two-dimensional Bose-Fermi mixture in the extremely dilute limit.

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Yu-Li Lee, Yu-Wen Lee. 2011-04-12. The stability of the low-dimensional mixtures of dilute quantum gases. https://arxiv.org/abs/0910.0603

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