AI 中文总结
该研究以动量空间形变为通用原理，构建了含可调例外点的非厄米理论，可实现混合量子态纯化与非厄米量子物质的逆向工程，为多体非厄米系统设计提供了统一途径。
AI 中文摘要
例外点（EP）是非厄米量子系统的标志。我们证明动量空间形变为二次多体哈密顿量中EP的创建与控制提供了通用设计原理。我们确定了承载EP的动量扇区及对应临界形变量的普适判据，同时揭示单个动量扇区EP会引发多体本征向量合并的指数级增殖。我们进一步确立EP为任意混合量子态纯化的通用机制，发现了不同的纯化 regime 以及热力学极限下系统尺寸奇偶性的基本二分性。我们的框架还提供了系统的逆向工程协议，用于生成短程与长程、互易与非互易的非厄米量子物质，以及明确的Lindblad嵌入。这些结果因此确立动量空间形变为例外点工程及多体非厄米量子系统受控设计的统一途径。
英文摘要
Exceptional points (EP's) are a hallmark of non-Hermitian quantum systems. We show that momentum-space deformation provides a general design principle for creating and controlling EP's in quadratic many-body Hamiltonians. We identify universal criteria for the momentum sectors to host EP's and the corresponding critical deformation strengths, while revealing that a single momentum-sector EP induces quite remarkably an exponential proliferation of many-body eigenvector coalescences. We further establish EP's as a universal mechanism for purifying arbitrary mixed quantum states, uncovering distinct purification regimes and a fundamental odd-even system-size dichotomy in the thermodynamic limit. Our framework also provides a systematic reverse-engineering protocol for generating short- and long-range, reciprocal and nonreciprocal non-Hermitian quantum matter, together with an explicit Lindblad embedding. These results thus establish momentum-space deformation as a unified route to exceptional-point engineering and controlled design of many-body non-Hermitian quantum systems.
Comments9+7 pages, 4 Figures
