论文标题

在非铁量子模型中可观察性丧失的异常机制

Anomalous mechanisms of the loss of observability in non-Hermitian quantum models

论文作者

Znojil, Miloslav, Borisov, Denis I.

论文摘要

在某些由非三角对哈密顿矩阵控制的非炎症系统中的量子相变是异常的。与具有三角形矩阵结构的已知模型相比,完全退化的能量特征值似乎总是等于一个模型,在当前模型中,该多重性大于一个。该现象被解释为几个脱钩的Kato相等或不同顺序的特殊点的汇合。

Quantum phase transitions in certain non-Hermitian systems controlled by non-tridiagonal Hamiltonian matrices are found anomalous. In contrast to the known models with tridiagonal-matrix structure in which the geometric multiplicity of the completely degenerate energy eigenvalue appears always equal to one, this multiplicity is found larger than one in the present models. The phenomenon is interpreted as a confluence of several decoupled Kato's exceptional points of equal or different orders.

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