论文标题
雪茄形的自旋轨道耦合自旋-1玻色-instein冷凝物中的集体激发
Collective excitations in cigar-shaped spin-orbit coupled spin-1 Bose-Einstein condensates
论文作者
论文摘要
从理论上讲，我们研究了旋转轨道耦合的自旋旋转1玻色-inenstein凝结物与零磁性诱捕电位中的抗磁性自旋 - 交流相互作用，并使用Hartree-Fock-Bogoliubov理论和Popov近似为零的温度和有限温度。零温度下的集体模式通过受扰动的实时演化来证实，适合激发密度或自旋模式。我们还通过分析计算了几种低洼模式，并发现与数值结果达成了很好的一致性。我们基于分散体的计算，确认了属于两个广泛类别的激发，即密度和旋转激发。一对旋转模式之间的堕落性因自旋轨道耦合而破坏。在有限温度下，自旋和密度激发在质量上显示出不同的行为与温度的函数。
We theoretically study the collective excitations of a spin-orbit-coupled spin-1 Bose-Einstein condensate with antiferromagnetic spin-exchange interactions in a cigar-shaped trapping potential at zero and finite temperatures using the Hartree-Fock-Bogoliubov theory with Popov approximation. The collective modes at zero temperature are corroborated by the real-time evolution of the ground state subjected to a perturbation suitable to excite a density or a spin mode. We have also calculated a few low-lying modes analytically and found a very good agreement with the numerical results. We confirm the presence of excitations belonging to two broad categories, namely density, and spin excitations, based on the calculation of dispersion. The degeneracy between a pair of spin modes is broken by the spin-orbit coupling. At finite temperature, spin and density excitations show qualitatively different behavior as a function of temperature.
