Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures

Details Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures

2007-07-27

arxiv.org/abs/0707.4119v4

Phys.Rev.Lett.100:090404,2008

Physics

Condensed Matter

Other Condensed Matter

4 pages. V4: published version

Scientific paper

10.1103/PhysRevLett.100.090404

Supersymmetry is assumed to be a basic symmetry of the world in many high energy theories, but none of the super partners of any known elementary particle has been observed yet. We argue that supersymmetry can also be realized and studied in ultracold atomic systems with a mixture of bosons and fermions, with properly tuned interactions and single particle dispersion. We further show that in such non-releativistic systems supersymmetry is either spontaneously broken, or explicitly broken by a chemical potential difference between the bosons and fermions. In both cases the system supports a sharp fermionic collective mode or the so-called Goldstino, due to supersymmetry. We also discuss possible ways to detect the Goldstino mode experimentally.

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