164 citations · 325 across the 6 of their papers we have counts for
9 papers
Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
Y. V. Fyodorov, D. V. Savin, H. -J. Sommers
We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By…
Correlation functions of impedance and scattering matrix elements in chaotic absorbing cavities
D. V. Savin, Y. V. Fyodorov, H. -J. Sommers
Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of…
Universal statistics of the local Green's function in quantum chaotic systems with absorption
D. V. Savin, H. -J. Sommers, Y. V. Fyodorov
We establish a general relation between the statistics of the local Green's function for systems with chaotic wave scattering and a uniform energy loss (absorption) and its two-poi…
Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption
D. V. Savin, H. -J. Sommers
The reflection matrix R=S^{\dagger}S, with S being the scattering matrix, differs from the unit one, when absorption is finite. Using the random matrix approach, we calculate analy…
Delay times and reflection in chaotic cavities with absorption
D. V. Savin, H. -J. Sommers
Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2τ_{a}. Us…
Is the concept of the non-Hermitian effective Hamiltonian relevant in the case of potential scattering?
D. V. Savin, V. V. Sokolov, H. -J. Sommers
We examine the notion and properties of the non-Hermitian effective Hamiltonian of an unstable system using as an example potential resonance scattering with a fixed angular moment…