Shunsuke Furukawa, Masahito Ueda
We investigate strongly correlated phases of two-component (or pseudo-spin-1/2) Bose gases under rapid rotation through exact diagonalization on a torus geometry. In the case of pseudo-spin-independent contact interactions, we find the formation of gapped spin-singlet states at the filling factors \nu=k/3+k/3 (k/3 filling for each component) with integer k. We present numerical evidences that the gapped state for k=2 is well described as a non-Abelian spin-singlet (NASS) state, in which excitations feature non-Abelian statistics. Furthermore, we find the phase transition from composite fermion states of separate components to the NASS state by changing the ratio of the intercomponent to intracomponent interactions.
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http://arxiv.org/abs/1205.2169
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