Dark Soliton of Polariton Condensates under Nonresonant PT-Symmetric Pumping

作     者：Chun-Yu Jia Zhao-Xin Liang 贾春玉;梁兆新

作者机构：Department of PhysicsZhejiang Normal UniversityJinhua 321004 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2020年第37卷第4期

页      面：14-18页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No.11835011 

主　　题：soliton symmetry quantum 

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. 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 an emphasis on the combined effects of non-Hermitian due to nonequilibrium nature and PT symmetry in determining the properties of a system. To 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 drivendissipative Gross–Pitaevskii equation both analytically and numerically. We derive the equation of motion for the center of mass of the dark soliton’s 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 the 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.