164 citations · 1k across the 29 of their papers we have counts for
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Envelope and phase distribution of a resonance transmission through a complex environment
Dmitry V. Savin
A transmission amplitude is considered for quantum or wave transport mediated by a single resonance coupled to the background of many chaotic states. Such a model provides a useful…
Statistics of a simple transmission mode on a lossy chaotic background
Dmitry V. Savin
Scattering on a resonance state coupled to a complicated background is a typical problem for mesoscopic quantum many-body systems as well as for wave propagation in the presence of…
Fluctuations in an established transmission in the presence of a complex environment
Dmitry V. Savin, Martin Richter, Ulrich Kuhl +2
In various situations where wave transport is preeminent, like in wireless communication, a strong established transmission is present in a complex scattering environment. We devel…
Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas
Yan V. Fyodorov, Dmitry V. Savin
We employ the random matrix theory (RMT) framework to revisit the distribution of resonance widths in quantum chaotic systems weakly coupled to the continuum via a finite number M…
Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations
J. -B. Gros, U. Kuhl, O. Legrand +3
The change of resonance widths in an open system under a perturbation of its interior has been recently introduced by Fyodorov and Savin [Phys. Rev. Lett. 108, 184101 (2012)] as a…
Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality
Y. V. Fyodorov, D. V. Savin
We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a s…
Nonlinear statistics of quantum transport in chaotic cavities
D. V. Savin, H. -J. Sommers, W. Wieczorek
In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eige…
Shot noise in chaotic cavities with an arbitrary number of open channels
D. V. Savin, H. -J. Sommers
Using the random matrix approach, we calculate analytically the average shot-noise power in a chaotic cavity at an arbitrary number of propagating modes (channels) in each of the t…
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…
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…
Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
Yan V. Fyodorov, Dmitry V. Savin
We are interested in finding the joint distribution function of the real and imaginary parts of the local Green function for a system with chaotic internal wave scattering and a un…
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…
Quantum Versus Classical Decay Laws in Open Chaotic Systems
Dmitry V. Savin, Valentin V. Sokolov
We study analytically the time evolution in decaying chaotic systems and discuss in detail the hierarchy of characteristic time scales that appeared in the quasiclassical region. T…
Parametric Correlations of Phase Shifts and Statistics of Time Delays in Quantum Chaotic Scattering: Crossover between Unitary and Orthogonal Symmetries
Yan V. Fyodorov, Dmitry V. Savin, H. -J. Sommers
We analyse universal statistical properties of phase shifts and time delays for open chaotic systems in the crossover regime of partly broken time-reversal invariance. In particula…