Abstract

We investigate 𝓟𝓣-symmetry breaking transitions in a dimer comprising two LC oscillators, one with loss and the second with gain. The electric energy of this four-mode model oscillates between the two LC circuits, and between capacitive and inductive energy within each LC circuit. Its dynamics are described by a non-Hermitian, 𝓟𝓣-symmetric Hamiltonian with three different phases separated by two exceptional points. We systematically measure the eigenfrequencies of energy dynamics across the three regions as a function of gain-loss strength. In addition to observe the well-studied 𝓟𝓣 transition for oscillations across the two LC circuits, at higher gain-loss strength, transition within each LC circuit is also observed. With their extraordinary tuning ability, 𝓟𝓣-symmetric electronics are ideally suited for classical simulations of non-Hermitian systems.

Graphical abstract

中文翻译：

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观察具有平衡增益和损耗的电路中的两个𝓟𝓣跃迁

摘要

我们研究了由两个LC振荡器组成的二聚体中的𝓟𝓣-对称破坏跃迁，其中一个带有损耗，第二个带有增益。该四模式模型的电能在两个LC电路之间以及每个LC电路内的电容性能量和电感性能量之间振荡。它的动力学由非埃尔米特，对称的哈密顿量描述，其中三个不同的相位由两个例外点隔开。我们系统地测量了三个区域内能量动力学的本征频率，作为增益损耗强度的函数。除了观察到在两个LC电路上振荡都经过精心研究的𝓟𝓣跃迁外，在更高的增益损耗强度下，还可以观察到每个LC电路内的跃迁。凭借非凡的调音能力，

图形概要