### Abstract

We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-12) Bose gases in mutually antiparallel synthetic magnetic fields in the space of the total filling factor and the ratio of the intercomponent coupling g↑↓ to the intracomponent coupling g>0. This time-reversal-invariant setting represents a bosonic analog of spin Hall systems. Using exact diagonalization, we find that (fractional) quantum spin Hall states composed of a pair of nearly independent quantum Hall states are remarkably robust and persist for g↑↓ up to as large as g. For g↑↓=-g, we find the exact many-body ground state in which particles in different spin states form pairs. This gives the exact critical line beyond which the system collapses in the thermodynamic limit.

Original language | English |
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Article number | 033602 |

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

Volume | 90 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2014 Sep 2 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

**Global phase diagram of two-component Bose gases in antiparallel magnetic fields.** / Furukawa, Shunsuke; Ueda, Masahito.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Global phase diagram of two-component Bose gases in antiparallel magnetic fields

AU - Furukawa, Shunsuke

AU - Ueda, Masahito

PY - 2014/9/2

Y1 - 2014/9/2

N2 - We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-12) Bose gases in mutually antiparallel synthetic magnetic fields in the space of the total filling factor and the ratio of the intercomponent coupling g↑↓ to the intracomponent coupling g>0. This time-reversal-invariant setting represents a bosonic analog of spin Hall systems. Using exact diagonalization, we find that (fractional) quantum spin Hall states composed of a pair of nearly independent quantum Hall states are remarkably robust and persist for g↑↓ up to as large as g. For g↑↓=-g, we find the exact many-body ground state in which particles in different spin states form pairs. This gives the exact critical line beyond which the system collapses in the thermodynamic limit.

AB - We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-12) Bose gases in mutually antiparallel synthetic magnetic fields in the space of the total filling factor and the ratio of the intercomponent coupling g↑↓ to the intracomponent coupling g>0. This time-reversal-invariant setting represents a bosonic analog of spin Hall systems. Using exact diagonalization, we find that (fractional) quantum spin Hall states composed of a pair of nearly independent quantum Hall states are remarkably robust and persist for g↑↓ up to as large as g. For g↑↓=-g, we find the exact many-body ground state in which particles in different spin states form pairs. This gives the exact critical line beyond which the system collapses in the thermodynamic limit.

UR - http://www.scopus.com/inward/record.url?scp=84911073088&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84911073088&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.90.033602

DO - 10.1103/PhysRevA.90.033602

M3 - Article

VL - 90

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 3

M1 - 033602

ER -