Entanglement of Pseudo-Hermitian Random States

By using an abstract model of pseudo-Hermitian random matrices and Dyson’s scheme to deal with density matrix of non-Hermitian matrix, the entanglement of states is investigated. It is found that the von Neumann entropy shows a different behavior in the unbroken (real eigenvalues) and broken (complex conjugate eigenvalues) regimes. As a function of time, the entanglement of Bell states undergoes a transition from an oscillatory to a constant behavior.