152 citations · 1.1k across the 27 of their papers we have counts for
27 papers
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…
Quantum quenches with random matrix Hamiltonians and disordered potentials
Fabian Kolley, Oriol Bohigas, Boris V. Fine
We numerically investigate statistical ensembles for the occupations of eigenstates of an isolated quantum system emerging as a result of quantum quenches. The systems investigated…
Hyperbolic disordered ensembles of random matrices
O. Bohigas, M. P. Pato
Using the simple procedure, recently introduced, of dividing Gaussian matrices by a positive random variable, a family of random matrices is generated characterized by a behavior r…
Decomposition of spectral density in individual eigenvalue contributions
O. Bohigas, M. P. Pato
The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishart covariant matrices, are decomposed in the contributions of each individual eig…
Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions
Pierpaolo Vivo, Satya N. Majumdar, Oriol Bohigas
We establish large deviation formulas for linear statistics on the transmission eigenvalues of a chaotic cavity, in the framework of Random Matrix Theory. Given any l…
Distributions of Conductance and Shot Noise and Associated Phase Transitions
Pierpaolo Vivo, Satya N. Majumdar, Oriol Bohigas
For a chaotic cavity with two indentical leads each supporting N channels, we compute analytically, for large N, the full distribution of the conductance and the shot noise power a…