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Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
New Journal of Physics ( IF 3.3 ) Pub Date : 2020-04-09 , DOI: 10.1088/1367-2630/ab7cb1
Bin Liu 1 , Rongxuan Zhong 1 , Zhaopin Chen 2 , Xizhou Qin 1 , Honghua Zhong 3 , Yongyao Li 1, 2 , Boris A Malomed 1, 2
Affiliation  

We consider possibilities to grasp and drag one-dimensional solitons in two-component Bose- Einstein condensates (BECs), under the action of gravity, by tweezers induced by spatially confined spin-orbit (SO) coupling applied to the BEC, with the help of focused laser illumination. Solitons of two types are considered, semi-dipoles and mixed modes. We find critical values of the gravity force, up to which the solitons may be held or transferred by the tweezers. The dependence of the critical force on the magnitude and spatial extension of the localized SO interaction, as well as on the solitons norm and speed (in the transfer regime), are systematically studied by means of numerical methods, and analytically with the help of a quasi-particle approximation for the soliton. In particular, a noteworthy finding is that the critical gravity force increases with the increase of the transfer speed (i.e., moving solitons are more robust than quiescent ones). Nonstationary regimes are addressed too, by considering abrupt application of gravity to solitons created in the weightless setting. In that case, solitons feature damped shuttle motion, provided that the gravity force does not exceed a dynamical critical value, which is smaller than its static counterpart. The results may help to design gravimeters based on ultracold atoms.

中文翻译:

用自旋轨道耦合镊子对抗重力保持和转移物质波孤子

我们考虑了在重力作用下,通过施加到 BEC 的空间受限自旋轨道 (SO) 耦合引起的镊子,在两分量玻色-爱因斯坦凝聚体 (BEC) 中抓取和拖动一维孤子的可能性,在帮助下聚焦激光照明。考虑了两种类型的孤子,半偶极子和混合模式。我们找到了重力的临界值,孤子可以被镊子夹住或转移到这个临界值。通过数值方法系统地研究了临界力对局部 SO 相互作用的幅度和空间扩展以及孤子范数和速度(在转移机制中)的依赖性,并在分析的帮助下进行了分析。孤子的准粒子近似。特别是,一个值得注意的发现是临界重力随着传输速度的增加而增加(即移动的孤子比静止的孤子更强大)。通过考虑对失重环境中产生的孤子突然施加重力,也解决了非平稳状态。在这种情况下,孤子具有阻尼穿梭运动,前提是重力不超过动态临界值,该值小于静态对应值。结果可能有助于设计基于超冷原子的重力仪。前提是重力不超过动态临界值,该值小于其静态对应值。结果可能有助于设计基于超冷原子的重力仪。前提是重力不超过动态临界值,该值小于其静态对应值。结果可能有助于设计基于超冷原子的重力仪。
更新日期:2020-04-09
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