104 citations · 412 across the 34 of their papers we have counts for
34 papers
Complex Eigenvalues in a pseudo-Hermitian \b{eta}-Laguerre ensemble
Cleverson Andrade Goulart, Gleb Oshanin, Mauricio Porto Pato
Non-Hermitian PT-symmetric models have been extensively studied in recent years. Following the seminal work that reduced classical random matrix ensembles to a tridiagonal form, se…
Statistical properties of eigenvalues of an ensemble of pseudo-Hermitian Gaussian matrices
Gabriel Marinello, Mauricio Porto Pato
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 spl…
Entanglement of pseudo-Hermitian random states
C. A. Goulart, M. P. Pato
In a recent paper (arXiv:1905.07348v1), Dyson scheme to deal with density matrix of non-Hermitian Hamiltonians has been used to investigate the entanglement of states of a PT-symme…
Random matrices applications to soft spectra
Rongrong Xie, Weibing Deng, Mauricio P. Pato
It recently has been found that methods of the statistical theories of spectra can be a useful tool in the analysis of spectra far from levels of Hamiltonian systems. Several examp…
Random pure states: quantifying bipartite entanglement beyond the linear statistics
Pierpaolo Vivo, Mauricio P. Pato, Gleb Oshanin
We analyze the properties of entangled random pure states of a quantum system partitioned into two smaller subsystems of dimensions and . Framing the problem in terms of ran…
Structure of trajectories of complex matrix eigenvalues in the Hermitian-non-Hermitian transition
O. Bohigas, J. X. De Carvalho, M. P. Pato
The statistical properties of trajectories of eigenvalues of Gaussian complex matrices whose Hermitian condition is progressively broken are investigated. It is shown how the order…