Statistical properties of eigenvalues of an ensemble of pseudo-Hermitian Gaussian matrices

Autor(es)

Marinello, G. ^{[1, 2]} ; Pato, M. P. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Inst Fis, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA SCRIPTA; v. 94, n. 11 NOV 2019.
• Citações Web of Science: 0

Resumo

We investigate the statistical properties of eigenvalues of pseudo-Hermitian random matrices whose eigenvalues are real or complex conjugate. It is shown that when the spectrum splits into separated sets of real and complex conjugate eigenvalues, the real ones show characteristics of an intermediate incomplete spectrum, that is, of a so-called thinned ensemble. On the other hand, the complex ones show repulsion compatible with cubic-order repulsion of non-normal matrices for the real matrices, but higher order repulsion for the complex and quaternion matrices. (AU)

• Processo FAPESP: 19/00184-0 - Hamiltonianos Pseudo-Hermitianos e o Problema de Fermi-Pasta-Ulam
• Beneficiário: Gabriel Marinello de Souza Santos
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado