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Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians
We study exceptional points (EPs) of a nonhermitian Hamiltonian $\hat{H}(\lambda,\delta)$ whose parameters $\lambda \in {\mathbb C}$ and $\delta \in {\mathbb R}$. As the real control parameter $\delta$ is varied, the $k$-th EP (or $k$-th cluster of simultaneously existing EPs) of $\hat{H}(\lambda,\delta)$ moves in the complex plane of $\lambda$ along a …