Quantum Hall States in Rapidly Rotating Two-Component Bose Gases

Shunsuke Furukawa; Masahito Ueda

doi:10.1103/physreva.86.031604

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arXiv · 1205.2169

Quantum Hall States in Rapidly Rotating Two-Component Bose Gases

Shunsuke Furukawa·Masahito Ueda

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Abstract

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 ν=k/3+k/3 (k/3 filling for each component) with integer k. We present numerical evidences that the gapped state with 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 the product of composite fermion states to the NASS state by changing the ratio of the intercomponent to intracomponent interactions.

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Shunsuke Furukawa, Masahito Ueda. 2012-09-24. Quantum Hall States in Rapidly Rotating Two-Component Bose Gases. https://doi.org/10.1103/physreva.86.031604

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