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Chinese Physics Letters

Ground Band and Excited Band of Spin-1 BEC in Cigar Shaped Laser Trap

庞玮, 李志兵, Bao Cheng-guang

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

保存全部的旋转的波浪功能为充分压缩的状态和状态被构造，一个粒子激动。一套方程为空间纵的波浪功能和化学潜力被推出。这些方程为 Na-23 和 Rb-87 冷凝物数字地被解决。使变形的陷井在光谱上显示出重要效果。这暗示旋量 BEC 的旋转效果更容易在更大的方面比率的一个光陷井被检测。

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保存全部的旋转的波浪功能为充分压缩的状态和状态被构造，一个粒子激动。一套方程为空间纵的波浪功能和化学潜力被推出。这些方程为 Na-23 和 Rb-87 冷凝物数字地被解决。使变形的陷井在光谱上显示出重要效果。这暗示旋量 BEC 的旋转效果更容易在更大的方面比率的一个光陷井被检测。
Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in R2{\mathbb {R}}^2R2
The spatial chaos of Bose–Einstein condensates in a cigar-shaped trap is studied. For a system with a steady current, we construct the general solution of the 1st-order equation. From the boundedness condition of the general solution, we obtain the Melnikov function predicting the onset of chaos. The unpredictability of the system's distribution of atom density is also theoretically analyzed. For a 23 Na system meeting the perturbation condition, numerical simulations show the existence of chaos, which is in accordance with our analytical results. Numerical simulations of a 87 Rb system dissatisfying the perturbation condition also demonstrate that there exists chaos in the system. The case without a current is also investigated.
We study theoretically 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 real-time evolution of the ground state subjected to a perturbation suitable to excite a density or a spin mode. We also calculate a few low-lying modes analytically and find 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.