论文标题
非官方n态变性：通过反对称非对称性非对称性的统一实现
Non-Hermitian N-state degeneracies: unitary realizations via antisymmetric anharmonicities
论文作者
论文摘要
在封闭（即单一）系统的量子理论的框架中研究了$ n $ plet状态的退化现象。对于基础的Hamiltonian $ h = h（λ）$，退化发生在Kato的特殊点$λ^{（epn）} $的订单$ n $和频谱几何乘数$ k <n $。尽管该概念具有现象学的吸引力（可作为量子相变的典范，或作为系统可观察性丧失的统一过程），但专门的文献交易主要是与$ n = 2 $和$ k = 1 $的模型相比。在我们的论文中，证明了$ n> 2 $和$ k> 1 $的堕落过程基准模型是可行的，并且对于一系列广泛的，最大的非高级弹药振荡器玩具模式汉密尔顿汉密尔顿人来说是可行的和非数字的。非等效过程的详尽分类是通过将不受干扰的频谱分配为等距和中心的不受干扰的物质的。
The phenomenon of degeneracy of an $N-$plet of bound states is studied in the framework of quantum theory of closed (i.e., unitary) systems. For an underlying Hamiltonian $H=H(λ)$ the degeneracy occurs at a Kato's exceptional point $λ^{(EPN)}$ of order $N$ and of the spectral geometric multiplicity $K<N$. In spite of the phenomenological appeal of the concept (tractable as a quantum phase transition, or as a unitary processes of the loss of the observability of the system), the dedicated literature deals, predominantly, just with the models where $N=2$ and $K=1$. In our paper it is shown that the construction of the $N>2$ and $K>1$ benchmark models of the process of degeneracy becomes feasible and non-numerical for a broad class of specific, maximally non-Hermitian anharmonic-oscillator toy-model Hamiltonians. An exhaustive classification of non-equivalent processes is given by a partitioning of the unperturbed spectrum into equidistant and centered unperturbed subspectra.
