论文标题
统一玻色气中的深色孤子
Dark solitons in the unitary Bose gas
论文作者
论文摘要
我们研究稀释和超速统一的玻璃气，其特征是在横向谐波限制下，由于S波散射长度的差异，其特征是状态方程。从超流体的流体动力方程式中，我们得出了有效的一维非分解schrödinger方程（1D NPSE），用于轴向动力学，然而，该方程也考虑了横向动力学。最后，通过求解1D NPSE，我们为骨系统的深色（灰色和黑色）孤子获得有意义的分析公式。
We study the dilute and ultracold unitary Bose gas, which is characterized by a universal equation of state due to the diverging s-wave scattering length, under a transverse harmonic confinement. From the hydrodynamic equations of superfluids we derive an effective one-dimensional nonpolynomial Schrödinger equation (1D NPSE) for the axial dynamics which, however, takes also into account the transverse dynamics. Finally, by solving the 1D NPSE we obtain meaningful analytical formulas for the dark (gray and black) solitons of the bosonic system.
