非共振PT对称泵浦下极化激元凝聚的暗孤子
Dark soliton of polariton condensates under nonresonant PT-symmetric pumping
摘要：
从非厄米量子力学开始，服从宇称-时间（PT）对称性的复势中的量子系统可以表现出所有的实谱。PT对称系统背后的关键物理由复势的平衡增益和损失组成。在这项工作中，我们计划包括非平衡性质，即系统的增益和损失的内在种类，到PT对称的多体量子系统，与非厄米特由于非平衡性质和PT对称性在确定系统的性质的组合效应的重点。最后，通过求解受驱动耗散的Gross-Pitaevskii方程，我们研究了PT对称非共振泵浦下极化激元玻色-爱因斯坦凝聚体暗孤子的静态和动态特性.利用哈密顿方法，推导了暗孤子中心质心的运动方程。由此得到的方程描述了开放耗散特性和PT对称性的结合如何影响暗孤子的性质，即孤子通过在有限时间内与背景混合而弛豫。进一步的数值解与分析结果非常吻合。
英文摘要：
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.
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