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Universal distributions from non-Hermitian perturbation of zero modes

Universal distributions from non-Hermitian perturbation of zero modes

Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class …