论文标题
北极凝结物的深色孤子在非共振的PT对称泵送下
Dark soliton of polariton condensates under nonresonant PT-symmetric pumping
论文作者
论文摘要
遵守平价（PT）对称性的复杂电势中的量子系统可以表现出所有真实的光谱，从非热量子力学开始。 PT对称系统背后的关键物理是由平衡的增益和复杂电位的损失组成。在这项工作中，我们计划包括非平衡性质，即系统的固有种类的增益和损失，以及PT对称的多体量子系统，重点是由于非平衡性质和PT对称性在确定系统属性方面的非平衡性质和PT对称性。在此末尾，我们通过分析和数值上求解了驱动的驱动性grosspitaevskii方程，研究了PolliTon-Bose-Einstein冷凝物的暗孔的静态和动力学特性。我们在汉密尔顿方法的帮助下分析了黑暗孤子中心质量中心的运动方程。所得的方程式捕获了开放性特征和pt对称的组合如何影响深色孤子的性质，即，孤子在有限的时间与背景融合而放松。进一步的数值解决方案与分析结果非常吻合。
A quantum system in complex potentials obeying parity-time (PT ) symmetry could exhibit all real spectra, starting out in non-Hermitian quantum mechanics. The key physics behind a PT-symmetric system consists of the balanced gain and loss of the complex potential. In this work, we plan to include the nonequilibrium nature, i.e. the intrinsic kinds of gain and loss of a system, to a PT-symmetric many-body quantum system, with the emphasis on the combined effects of non-Hermitian due to nonequilibrium nature and PT symmetry in determining the properties of a system. In this end, we investigate the static and dynamical properties of a dark soliton of a polariton Bose-Einstein condensate under the PT-symmetric non-resonant pumping by solving the driven-dissipative GrossPitaevskii equation both analytically and numerically. We derive the equation of motion for the center of mass of the dark solitons center analytically with the help of the Hamiltonian approach. The resulting equation captures how the combination of the open-dissipative character and PT-symmetry affects the properties of dark soliton, i.e. the soliton relaxes by blending with the background at a finite time. Further numerical solutions are in excellent agreement with the analytical results.
