Pendse Abhijit, Bhattacharyay A
Indian Institute of Science Education and Research, Pune, Maharashtra 411008, India.
J Phys Condens Matter. 2018 Nov 14;30(45):455602. doi: 10.1088/1361-648X/aae33f.
We consider a Bose-Einstein condensate (BEC) with non-local inter-particle interactions. The local Gross-Pitaevskii (GP) equation is valid for the gas parameter [Formula: see text], but for [Formula: see text], the BEC is described by a modified GP equation (MGPE). We study the exact solutions of the MGPE describing bright and dark solitons. It turns out that the width of these non-local solitons has qualitatively similar behaviour as the modified healing length due to the non-local interactions of the MGPE. We also study the effect of the non-locality and gas parameter (ν) on the stability of the solitons using the Vakhitov-Kolokolov (VK) stability criterion. We show that these soliton solutions are stable according to the VK criterion. Further, the stability of these soliton solutions gets enhanced due to the non-locality of interactions.
我们考虑具有非局域粒子间相互作用的玻色 - 爱因斯坦凝聚体（BEC）。局部的格罗斯 - 皮塔耶夫斯基（GP）方程对于气体参数[公式：见文本]是有效的，但对于[公式：见文本]，BEC由一个修正的GP方程（MGPE）描述。我们研究描述亮孤子和暗孤子的MGPE的精确解。结果表明，由于MGPE的非局域相互作用，这些非局域孤子的宽度与修正的愈合长度具有定性相似的行为。我们还使用瓦赫托夫 - 科洛科洛夫（VK）稳定性准则研究了非局域性和气体参数（ν）对孤子稳定性的影响。我们表明，根据VK准则，这些孤子解是稳定的。此外，由于相互作用的非局域性，这些孤子解的稳定性得到增强。
