Physics of quantized vortices in superfluid helium and atomic Bose-Einstein condensates

我们从理论上和数值上研究了超流氦和原子玻色-爱因斯坦凝聚体中量子化涡旋的物理性质。得到的结果如下：超流氦1.我们发现了一个速度-我们发现超流氦中超流湍流的能谱服从经典湍流中最重要的统计规律Kolmogorov定律;我们发现超流氦中超流湍流在极低温度下的Kelvin波级联过程，它被认为是一个耗散过程原子玻色-爱因斯坦凝聚1.研究了旋转双组分玻色凝聚中涡旋晶格的结构; 2.研究了旋转双组分玻色凝聚中涡旋晶格形成的三维动力学; 3.研究了旋转双组分玻色凝聚中多畴的形成机制。研究了两组分玻色凝聚中的集体激发; 5.研究了旋转两组分玻色凝聚中的自旋织构; 6.研究了旋转玻色子和费米子混合体中的基态.

We study theoretically and numerically physics of quantized vortices in superfluid helium and atomic Bose-Einstein condensates. The obtained results are the following.Superfluid helium1.We discovered an velocity-independent transition for superfluid turbulence in superfluid helium3 at ultra low temperatures.2.We found that the energy spectrum of superfluid turbulence obeys the Kolmogorov law which is the most important statistical law in classical turbulence.3.We discovered the Kelvin wave cascade process at very low temperatures that is supposed to be a dissipative mechanism.4.We found that a polarized vortex tangle appears in rotating superfluid turbulence.Atomic Bose-Einstein condensation1.We studied the structure of vortex lattices in rotating two-component Bose condensates.2.We studied three-dimensional dynamics of vortex lattice formation in rotating Bose condensates.3.We studied the mechanism of formation of multi domains in two-component Bose condensates.4.We studied collective excitations in two-component hose condensates.5.We studied spin texture in rotating two-component Bose condensates.6.We studied the ground state in rotating mixture of Bosons and Fermions.