非 PT 非厄米势阱中线性与非线性波的耗散动力学与主动稳定
量子物理
2026-05-14 v1
摘要
我们通过工程化的复非厄米势阱，研究了势阱中线性波和非线性波的耗散动力学。通过将实 Schrödinger 方程与复 Schrödinger 方程之间的解析映射结合直接数值模拟，我们展示了在线性情况下，阻尼运动导致在阱中心形成稳态；在非线性情况下，仅靠静电势设计是不够的以确保长期稳定性的。相反，系统会放松到一种长期亚稳定配置，最终发生衰减或坍塌。为克服这一限制，我们引入了非线性性的时间依赖调制，将这些亚稳态有效地转换为稳健的非平衡稳态。这种方法为控制非厄米系统中的非线性波 establish a general strategy for controlling nonlinear waves in non-Hermitian systems, with potential applications in photonics and Bose--Einstein condensates. This approach establishes a general strategy for controlling nonlinear waves in non-Hermitian systems, with potential applications in photonics and Bose--Einstein condensates.
引用
@article{arxiv.2605.12638,
title = {Dissipative Dynamics and Active Stabilization of Linear and Nonlinear Waves in Non-PT-Symmetric Harmonic Traps},
author = {Mario Salerno},
journal= {arXiv preprint arXiv:2605.12638},
year = {2026}
}
备注
7 pages, 5 figures