准二维玻色子-费米子混合体中涡旋态的混合-去混合跃迁和坍缩
Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
摘要：
研究了具有玻色涡旋的准二维简并玻色-费米子混合体（DBFM）中的混合-去混合跃迁和坍缩。我们数值求解的量子流体动力学模型的基础上，一个新的密度泛函，准确地考虑到维度交叉。结果表明，随着种间排斥力的增加，DBFM的混合态可以转变为非混合态。当物种间的吸引力超过一个临界值时，系统崩溃，该临界值取决于涡旋的量子数。物种间的吸引力刚好低于这个临界极限，玻色子和费米子成分几乎完全混合。通过改变玻色子-费米子费什巴赫共振附近的外磁场，可以在实验上实现DBFM的这种混合态和去混合态，这将导致种间相互作用的连续变化。
英文摘要：
We investigate the mixing-demixing transition and the collapse in a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex. We solve numerically a quantum-hydrodynamic model based on a new density functional which accurately takes into account the dimensional crossover. It is demonstrated that with the increase of interspecies repulsion, a mixed state of DBFM could turn into a demixed state. The system collapses for interspecies attraction above a critical value which depends on the vortex quantum number. For interspecies attraction just below this critical limit there is almost complete mixing of boson and fermion components. Such mixed and demixed states of a DBFM could be experimentally realized by varying an external magnetic field near a boson-fermion Feshbach resonance, which will result in a continuous variation of interspecies interaction.
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