从非对称拉盖尔-高斯光束到玻色-爱因斯坦凝聚体的轨道angular momentum叠加转移
Transfer of orbital angular momentum superposition from asymmetric Laguerre-Gaussian beam to Bose-Einstein Condensate
摘要：
本文建立了非对称拉盖尔-高斯（aLG）光束与谐波阱中原子玻色-爱因斯坦凝聚体（BEC）的微观相互作用理论。这里的不对称性被引入到LG光束考虑在笛卡尔平面中的复值移位，保持光束的轴和它的涡旋状态同轴的陷阱轴的BEC。由于包含非对称性质，在光束中产生多个量化循环。我们展示了如何将这些量子化的环流转移到BEC导致叠加的物质涡旋状态。计算的拉比频率的偶极以及四极跃迁在传输过程中显示出明显的变化与光束的移位参数。在特定的位移参数范围内，与对称单轨道角动量（OAM）模式光束相比，高涡度状态下的四极拉比频率显著增强.我们还展示了不同位移参数下物质涡旋态叠加的变化，并观察到其与LG模叠加相比的明显特征。叠加态的一阶空间相关性支持这一特征，并突出了沿表面正交方向的横向相干程度的不对称性。
英文摘要：
In this paper, we have formulated a theory for the microscopic interaction of the asymmetric Laguerre-Gaussian (aLG) beam with the atomic Bose-Einstein condensate (BEC) in a harmonic trap. Here the asymmetry is introduced to an LG beam considering a complex-valued shift in the Cartesian plane keeping the axis of the beam and its vortex states co-axial to the trap axis of the BEC. Due to the inclusion of the asymmetric nature, multiple quantized circulations are generated in the beam. We show how these quantized circulations are transferred to the BEC resulting in a superposition of matter vortex states. The calculated Rabi frequencies for the dipole as well as quadrupole transitions during the transfer process show distinct variability with the shift parameters of the beam. A significant enhancement of the quadrupole Rabi frequency for higher vorticity states is observed compared to symmetric single orbital angular momentum (OAM) mode beam at a particular range of the shift parameters. We also demonstrate the variation of superposition of matter vortex states and observe its distinct feature compared to the superposition of the LG modes for different shift parameters. The first order spatial correlation of the superposed states supports this feature and highlights asymmetry in degree of transverse coherence along orthogonal directions on the surface.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
