标题： 对暴露于两个相反传播的超快激光束的玻色-爱因斯坦凝聚体的响应 显示英文标题

标题： On the response of a Bose-Einstein condensate exposed to two counterpropagating ultra-fast laser beams

摘要： 研究了在相反传播的局域激光脉冲照射到原子凝聚体的情况下，光-物质相互作用的影响。 与之前对类似系统的调查不同，假设激光束是超快的，并且它们具有$\mathrm{sech}^2$的轮廓。 具体而言，我们考虑了一个准均匀的，后来扩展为不均匀的玻色-爱因斯坦凝聚体（BEC），它受到两个相反传播的正交偏振的超快激光束的照射，这两个激光束的强度相等。 电磁场为玻色-爱因斯坦凝聚体创建了一个光学势，这反过来又修改了光学场。 因此，发现光和物质之间会激烈地交换能量，从而动态地修改自身。 在不均匀的情况下，这里使用了一种自相似的方法来处理被光照射的雪茄状BEC。 我们在BEC-光相互作用的一个此前未探索的区域内进行的理论分析表明，在原子-原子相互作用为排斥性而光-物质相互作用为吸引性的区域中，可能会形成孤子束缚态。 能量图还表明，当光-物质相互作用从吸引变为排斥时，能量会从光子转移到原子。 显示英文摘要

摘要： The effect of light-matter interaction is investigated for a situation where counter propagating laser pulses of localized nature are incident on the atomic condensate. In contrast to the earlier investigations on the similar systems, it's assumed that the laser beams are ultra-fast and they have a $\mathrm{sech}^2$ profile. Specifically, we consider a quasi-homogeneous, later extended to inhomogeneous, Bose-Einstein condensate (BEC), which is exposed to two counter propagating orthogonally polarized ultra-fast laser beams of equal intensity. The electromagnetic field creates an optical potential for the Bose-Einstein condensate, which in turn modifies the optical field. Hence, light and matter are found to contentiously exchange energy and thus to modify themselves dynamically. In the inhomogenous case, a self-similar method is used here to treat a cigar-shaped BEC exposed to light. Our theoretical analysis in a hither to unexplored regime of BEC-light interaction hints at the solitonic bound state formation in the regime where the atom-atom interaction is repulsive and the light-matter interaction is attractive. The energy diagram also indicates a transfer of energy from photon to atom as the light-matter interaction turns repulsive from attractive.