Corpus ID: 237571913

Pseudo-Hermitian Random Matrix Models: General Formalism

@inproceedings{Feinberg2021PseudoHermitianRM,
  title={Pseudo-Hermitian Random Matrix Models: General Formalism},
  author={Joshua Feinberg and Roman Riser},
  year={2021}
}
Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional subspace. As such, they can be used, in the usual spirit of random matrix theory, to model chaotic or disordered PT -symmetric quantum systems, or their gain-loss-balanced classical analogs, in the phase of broken PT -symmetry. The eigenvalues of… Expand

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