Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice

D. Controzzi , A. M. Tsvelik

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classification ❄️ cond-mat.str-el cond-mat.otherhep-th

keywords modeltimesatomsfermionicfillingisospinlatticemathbb

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We propose an exact solution of a model describing a low energy behavior of cold isospin S=3/2 fermionic atoms on a one-dimensional optical lattice. Depending on the band filling the effective field theory has a form of a deformed Gross-Neveu model with either $O(7)\times \mathbb{Z}_2$ (half filling) or $U(1)\times O(5)\times \mathbb{Z}_2$ symmetry.

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Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice

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