论文标题
一维相互作用的bose气体中的非铁皮皮肤效应
Non-Hermitian skin effect in one-dimensional interacting Bose gas
论文作者
论文摘要
非铁皮皮肤效应（NHSE）是在非相互作用的非铁官系统中广泛研究的独特功能。在这项工作中，我们将最初在非相互作用系统中发现的NHSE扩展到了通过研究具有想象中载体潜力的原型Lieb-Liniger Bose气体的典型的Lieb-Liniger Bose气体，从而将多体系统相互作用。我们表明，这种非热手多体模型也可以通过伯特·安萨兹（Bethe Ansatz）精确解决。通过准确求解贝斯ansatz方程，可以获得显式本征函数，并计算模型的密度曲线和动量分布，以定量地表征NHSE。我们发现NHSE在排斥方面逐渐被抑制，但随着排斥相互作用强度的增加，NHSE不会消失。在有吸引力的一面，随着相互作用强度的增长，用于边界溶液的NSHE得到了增强。相比之下，对于散射状态，NHSE在有吸引力的一侧显示出非单调的行为。我们的工作提供了NHSE的第一个示例，该示例在可解决的多体系统中提供了，我们设想它可以扩展到其他非高级多体系统，尤其是可集成的模型。
Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in non-interacting non-Hermitian systems. In this work, we extend the NHSE originally discovered in non-interacting systems to interacting many-body systems by investigating an exactly solvable non-Hermitian model, i.e., the prototypical Lieb-Liniger Bose gas with imaginary vector potential. We show that this non-Hermitian many-body model can also be exactly solved through Bethe ansatz. By solving the Bethe ansatz equations accurately, the explicit eigenfunction is obtained, and the model's density profiles and momentum distributions are calculated to characterize the NHSE quantitatively. We find that the NHSE is gradually suppressed on the repulsive side but does not vanish as the repulsive interaction strength increases. On the attractive side, the NSHE for bound-state solutions is enhanced as interaction strength grows. In contrast, for the scattering state the NHSE shows a non-monotonic behavior in the attractive side. Our work provides the first example of the NHSE in exactly solvable many-body systems, and we envision that it can be extended to other non-Hermitian many-body systems, especially to integrable models.
