### Abstract

We investigate strongly correlated phases of two-component (or pseudospin-1/2) Bose gases under rapid rotation through exact diagonalization on a torus geometry. In the case of pseudospin-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.

Original language | English |
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Article number | 031604 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 86 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2012 Sep 17 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

**Quantum Hall States in rapidly rotating two-component bose gases.** / Furukawa, Shunsuke; Ueda, Masahito.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 86, no. 3, 031604. https://doi.org/10.1103/PhysRevA.86.031604

}

TY - JOUR

T1 - Quantum Hall States in rapidly rotating two-component bose gases

AU - Furukawa, Shunsuke

AU - Ueda, Masahito

PY - 2012/9/17

Y1 - 2012/9/17

N2 - We investigate strongly correlated phases of two-component (or pseudospin-1/2) Bose gases under rapid rotation through exact diagonalization on a torus geometry. In the case of pseudospin-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.

AB - We investigate strongly correlated phases of two-component (or pseudospin-1/2) Bose gases under rapid rotation through exact diagonalization on a torus geometry. In the case of pseudospin-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.

UR - http://www.scopus.com/inward/record.url?scp=84866555346&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866555346&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.86.031604

DO - 10.1103/PhysRevA.86.031604

M3 - Article

VL - 86

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 3

M1 - 031604

ER -