4.3 Article

Berezinskii-Kosterlitz-Thouless Transition of Spin-1 Spinor Bose Gases in the Presence of the Quadratic Zeeman Effect

Journal

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 88, Issue 9, Pages -

Publisher

PHYSICAL SOC JAPAN
DOI: 10.7566/JPSJ.88.094001

Keywords

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Funding

  1. Japan Society for the Promotion of Science (JSPS) [16H03984, 26870295, 16KT0127]
  2. Grants-in-Aid for Scientific Research [16KT0127, 26870295] Funding Source: KAKEN

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We numerically study the Berezinskii-Kosterlitz-Thouless (BKT) transition of a spin-1 spinor Bose gas under the quadratic Zeeman effect. A calculation of the mass and spin superfluid densities shows that (i) the BKT transition occurs only when vortices are classified by the integer group Z, and Z(2) vortices do not contribute to the BKT transition, (ii) the two BKT transition temperatures for mass and spin superfluid densities are different for a positive quadratic Zeeman effect and equal for a negative quadratic Zeeman effect, and (iii) the universal relation of the superfluid densities at the BKT transition temperature is changed when multiple kinds of vortices contribute to the transition. We have further found that (iv) spin-singlet pairs in non-magnetic states show the quasi-off-diagonal-long-range order at the different temperature lower than the BKT transition temperature, giving the new universal relation of the superfluid density.

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