Jia Chunyu, Liang Zhaoxin
Department of Physics, Zhejiang Normal University, Jinhua 321004, China.
Entropy (Basel). 2022 Dec 7;24(12):1789. doi: 10.3390/e24121789.
Exploring the dynamics of a mobile impurity immersed in field excitations is challenging, as it requires to account for the entanglement between the impurity and the surrounding excitations. To this end, the impurity's effective mass has to be considered as finite, rather than infinite. Here, we theoretically investigate the interaction between a finite-mass impurity and a dissipative soliton representing nonlinear excitations in the polariton Bose-Einstein condensate (BEC). Using the Lagrange variational method and the open-dissipative Gross-Pitaevskii equation, we analytically derive the interaction phase diagram between the impurity and a dissipative bright soliton in the polariton BEC. Depending on the impurity mass, we find the dissipative soliton colliding with the impurity can transmit through, get trapped, or be reflected. This work opens a new perspective in understanding the impurity dynamics when immersed in field excitations, as well as potential applications in information processing with polariton solitons.
探索浸没在场激发中的移动杂质的动力学具有挑战性，因为这需要考虑杂质与周围激发之间的纠缠。为此，杂质的有效质量必须被视为有限的，而不是无限的。在这里，我们从理论上研究了有限质量杂质与代表极化子玻色 - 爱因斯坦凝聚体（BEC）中非线性激发的耗散孤子之间的相互作用。使用拉格朗日变分法和开放耗散的格罗斯 - 皮塔耶夫斯基方程，我们解析地推导了极化子BEC中杂质与耗散亮孤子之间的相互作用相图。根据杂质质量，我们发现与杂质碰撞的耗散孤子可以透射、被俘获或被反射。这项工作为理解浸没在场激发中的杂质动力学开辟了新的视角，以及在极化子孤子信息处理中的潜在应用。
