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Simulating Wess-Zumino Supersymmetry Model in Optical Lattices · Around

2010

Simulating Wess-Zumino Supersymmetry Model in Optical Lattices

Yu, Yue, Yang, Kun

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We study a cold atom-molecule mixture in two-dimensional optical lattices, in which fermionic atoms have a Dirac-type dispersion.

We show that by fine-tuning the atomic and molecular interactions, such mixtures can simulate Wess-Zumino supersymmetry (SUSY) model, the first example of SUSY theories.
At zero temperature, SUSY is not spontaneously broken for this simplest SUSY model, which implies identical relativistic dispersions of the atom and its superpartner, bosonic diatom molecule.
This defining signature of SUSY can be probed by single particle spectroscopies.

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Sometimes, although the SUSY is explicitly broken, the SUSY effects can still be observed if the system only deviates slightly from the SUSY, e.g., the response to the photoassociation perturbation we studied in [ 7 ]

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