Berezinskii-Kosterlitz-Thouless transition of spin-1 spinor Bose gases in the presence of the quadratic Zeeman effect
Autor: | Michikazu Kobayashi |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
Bose gas
General Physics and Astronomy FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Superfluidity symbols.namesake Quadratic equation Condensed Matter::Superconductivity 0103 physical sciences 010306 general physics Condensed Matter - Statistical Mechanics Spin-½ Physics Condensed Matter::Quantum Gases Spinor Zeeman effect Condensed matter physics Statistical Mechanics (cond-mat.stat-mech) Condensed Matter::Other Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Kosterlitz–Thouless transition Quantum Gases (cond-mat.quant-gas) Condensed Matter::Statistical Mechanics symbols Condensed Matter - Quantum Gases |
Popis: | 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 $\mathbb{Z}$, and $\mathbb{Z}_2$ 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. 15 pages, 19 figures |
Databáze: | OpenAIRE |
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