### Abstract

We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-12) Bose gases in a high synthetic magnetic field in the space of the total filling factor and the ratio of the intercomponent coupling g↑↓ to the intracomponent one g>0. Using exact diagonalization, we find that when the intercomponent coupling is attractive (g↑↓<0), the product states of a pair of nearly uncorrelated quantum Hall states are remarkably robust and persist even when |g↑↓| is close to g. This contrasts with the case of an intercomponent repulsion, where a variety of spin-singlet quantum Hall states with high intercomponent entanglement emerge for g↑↓≈g. We interpret this marked dependence on the sign of g↑↓ in light of pseudopotentials on a sphere, and also explain recent numerical results in two-component Bose gases in mutually antiparallel magnetic fields where a qualitatively opposite dependence on the sign of g↑↓ is found. Our results thus unveil an intriguing connection between multicomponent quantum Hall systems and quantum spin Hall systems in minimal setups.

Original language | English |
---|---|

Article number | 053626 |

Journal | Physical Review A |

Volume | 96 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2017 Nov 21 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

**Quantum Hall phase diagram of two-component Bose gases : Intercomponent entanglement and pseudopotentials.** / Furukawa, Shunsuke; Ueda, Masahito.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 96, no. 5, 053626. https://doi.org/10.1103/PhysRevA.96.053626

}

TY - JOUR

T1 - Quantum Hall phase diagram of two-component Bose gases

T2 - Intercomponent entanglement and pseudopotentials

AU - Furukawa, Shunsuke

AU - Ueda, Masahito

PY - 2017/11/21

Y1 - 2017/11/21

N2 - We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-12) Bose gases in a high synthetic magnetic field in the space of the total filling factor and the ratio of the intercomponent coupling g↑↓ to the intracomponent one g>0. Using exact diagonalization, we find that when the intercomponent coupling is attractive (g↑↓<0), the product states of a pair of nearly uncorrelated quantum Hall states are remarkably robust and persist even when |g↑↓| is close to g. This contrasts with the case of an intercomponent repulsion, where a variety of spin-singlet quantum Hall states with high intercomponent entanglement emerge for g↑↓≈g. We interpret this marked dependence on the sign of g↑↓ in light of pseudopotentials on a sphere, and also explain recent numerical results in two-component Bose gases in mutually antiparallel magnetic fields where a qualitatively opposite dependence on the sign of g↑↓ is found. Our results thus unveil an intriguing connection between multicomponent quantum Hall systems and quantum spin Hall systems in minimal setups.

AB - We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-12) Bose gases in a high synthetic magnetic field in the space of the total filling factor and the ratio of the intercomponent coupling g↑↓ to the intracomponent one g>0. Using exact diagonalization, we find that when the intercomponent coupling is attractive (g↑↓<0), the product states of a pair of nearly uncorrelated quantum Hall states are remarkably robust and persist even when |g↑↓| is close to g. This contrasts with the case of an intercomponent repulsion, where a variety of spin-singlet quantum Hall states with high intercomponent entanglement emerge for g↑↓≈g. We interpret this marked dependence on the sign of g↑↓ in light of pseudopotentials on a sphere, and also explain recent numerical results in two-component Bose gases in mutually antiparallel magnetic fields where a qualitatively opposite dependence on the sign of g↑↓ is found. Our results thus unveil an intriguing connection between multicomponent quantum Hall systems and quantum spin Hall systems in minimal setups.

UR - http://www.scopus.com/inward/record.url?scp=85036610893&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85036610893&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.96.053626

DO - 10.1103/PhysRevA.96.053626

M3 - Article

AN - SCOPUS:85036610893

VL - 96

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

M1 - 053626

ER -