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

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

2009-10-04

arxiv.org/abs/0910.0603v3

Journal of the Physical Society of Japan 80, 044003 (2011)

Physics

Condensed Matter

Quantum Gases

8 pages, 1 figure

Scientific paper

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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