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Anomalous mechanisms of the loss of observability in non-Hermitian quantum models
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-06-04 , DOI: 10.1016/j.nuclphysb.2020.115064
Miloslav Znojil , Denis I. Borisov

Via several toy-model quantum Hamiltonians H(λ) of a non-tridiagonal low-dimensional matrix form the existence of unusual observability horizons is revealed. At the corresponding limiting values of parameter λ=λ(critical) these new types of quantum phase transitions are interpreted as the points of confluence of several decoupled Kato's exceptional points of equal or different orders. Such a phenomenon of degeneracy of non-Hermitian degeneracies seems to ask for a reclassification of the possible topologies of the complex energy Riemann surfaces in the vicinity of branch points.



中文翻译:

非Hermitian量子模型中可观测性损失的异常机制

通过几个玩具模型量子哈密顿量 Hλ非对角线的低维矩阵的形式揭示了不寻常的可观察范围。在参数的相应极限值处λ=λC[R一世Ť一世C一种这些新型的量子相变被解释为加藤相等或不同阶数的几个解耦异常点的汇合点。这种非Hermitian退化的退化现象似乎要求对分支点附近的复杂能量Riemann表面的可能拓扑进行重新分类。

更新日期:2020-06-04
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