Tobias Graß, Bruno Juliá-Díaz, Nuria Barberán, Maciej Lewenstein
We study strongly correlated phases of a pseudo-spin-1/2 Bose gas in an artificial gauge field using the exact diagonalization method. The atoms are confined in two dimensions and interact via a two-body contact potential. For SU(2)-symmetric interactions and Abelian gauge fields, the ground state of the system is a pseudo-spin singlet. In close analogy to the Read-Rezayi (RR) series in spin-polarized systems, a series of incompressible phases is formed at fillings \nu=2k/3. This series resembles the non-Abelian spin singlet (NASS) states, which are the exact zero-energy eigenstates of a (k+1)-body contact interaction. Applying non-Abelian gauge fields, it becomes possible to switch between RR-like and NASS-like states by varying the non-Abelian gauge field strength.
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http://arxiv.org/abs/1204.5423
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