标题： 非厄米数值重整化群：非厄米Kondo模型的解 显示英文标题

标题： Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model

摘要： 非厄米（NH）哈密顿量描述开放量子系统、非平衡动力学和耗散过程。尽管已经揭示了丰富的单粒子NH物理现象，但强关联NH系统中的多体现象却研究得远不够深入。Kondo效应是强关联物理的重要范例，最近已在NH设置中被考虑。在这里，我们开发了一种非厄米数值重整化群（NRG）的推广方法，并用它来解决非厄米Kondo模型。我们的非微扰解适用于弱耦合以外的情况，并且我们揭示了一个非平凡的相图。该方法通过应用于非厄米伪间隙Kondo模型进行展示，我们证明该模型支持一种完全新颖的相，具有真正的非厄米稳定固定点和复数本征谱。我们提供的非厄米-NRG代码是开源的，可用于例如微扰标度和Bethe假设无法处理的区域和模型。 显示英文摘要

摘要： Non-Hermitian (NH) Hamiltonians describe open quantum systems, nonequilibrium dynamics, and dissipative processes. Although a rich range of single-particle NH physics has been uncovered, many-body phenomena in strongly correlated NH systems have been far less well studied. The Kondo effect, an important paradigm for strong correlation physics, has recently been considered in the NH setting. Here we develop a NH generalization of the numerical renormalization group (NRG) and use it to solve the NH Kondo model. Our non-perturbative solution applies beyond weak coupling, and we uncover a nontrivial phase diagram. The method is showcased by application to the NH pseudogap Kondo model, which we show supports a completely novel phase with a genuine NH stable fixed point and complex eigenspectrum. Our NH-NRG code, which can be used in regimes and for models inaccessible to, e.g., perturbative scaling and Bethe ansatz, is provided open source.