50 citations · 113 across the 7 of their papers we have counts for
7 papers
Surprising relations between parametric level correlations and fidelity decay
H. Kohler, I. Smolyarenko, C. Pineda +3
Unexpected relations between fidelity decay and cross form--factor, i.e., parametric level correlations in the time domain are found both by a heuristic argument and by comparing e…
Universality of Parametric Spectral Correlations: Local versus Extended Perturbing Potentials
F. M. Marchetti, I. E. Smolyarenko, B. D. Simons
We explore the influence of an arbitrary external potential perturbation V on the spectral properties of a weakly disordered conductor. In the framework of a statistical field theo…
Parametric Spectral Statistics in Unitary Random Matrix Ensembles: From Distribution Functions to Intra-Level Correlations
I. E. Smolyarenko, B. D. Simons
We establish a general framework to explore parametric statistics of individual energy levels in unitary random matrix ensembles. For a generic confinement potential , we (i)…
Parametric Statistics of Individual Energy Levels in Random Hamiltonians
I. E. Smolyarenko, B. D. Simons
We establish a general framework to explore parametric statistics of individual energy levels in disordered and chaotic quantum systems of unitary symmetry. The method is applied t…
Parametric spectral correlations in disordered and chaotic structures
I. E. Smolyarenko, F. M. Marchetti, B. D. Simons
We explore the influence of external perturbations on the energy levels of a Hamiltonian drawn at random from the Gaussian unitary distribution of Hermitian matrices. By deriving t…
Kondo Effect in Systems with Spin Disorder
Igor E. Smolyarenko, Ned S. Wingreen
We consider the role of static disorder in the spin sector of the one- and two-channel Kondo models. The distribution functions of the disorder-induced effective energy splitting b…