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11 papers
Parametric correlations in non-Hermitian quantum chaos: random matrix approach
Yan V. Fyodorov, Bertrand Lacroix-A-Chez-Toine
Motivated by the surge of interest in statistics of non-Hermitian random matrices as a framework for description of universal characteristics of dissipative chaotic quantum many-bo…
Random Matrix Theory for Chaotic Wave Scattering and Transport
Yan V. Fyodorov, Dmitry V. Savin
We review random matrix approaches to chaotic wave scattering and transport in open systems. Starting from the effective non-Hermitian Hamiltonian formulation, we discuss the scatt…
Density of reflection resonances in one-dimensional disordered Schrödinger operators
Yan V. Fyodorov, Jan Meibohm
We develop an analytic approach to evaluating the density of complex resonance poles with real energies and widths in the pure reflection probl…
Ground state energy fluctuations of pinned elastic manifolds
Yan V. Fyodorov, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal
We describe the atypical fluctuations of the ground state energy of the random elastic manifold, a disordered model defined on a lattice of linear size with internal dimension…
Spectral Density and Eigenvector Nonorthogonality in Complex Symmetric Random Matrices
Gernot Akemann, Yan V. Fyodorov, Dmitry V. Savin
Non-Hermitian random matrices with statistical spectral characteristics beyond the standard Ginibre ensembles have recently emerged in the description of dissipative quantum many-b…
Large deviations of spectral determinants of matrix-valued random Schrödinger operators and Dyson Brownian motion in cubic potentials
Yan Fyodorov, Pierre Le Doussal, Alexander Ossipov
We study the moments of and the associated large deviations of where are random matrix operators involving Laplace operators and r…