3 papers
nlin.CD2026
Characterization of Chaotic Evolution in Quantum Systems Induced by Random Hermitian Matrices
Arkady Kurnosov, Sven Gnutzmann, Uzy Smilansky
In a recent paper, a semiclassical Lyapunov exponent associated with a quantum Hamiltonian represented by a finite-dimensional Hermitian matrix was defined and placed on a mathemat…
quant-ph2026
Quantum graph models of quantum chaos: an introduction and some recent applications
Gregory Berkolaiko, Sven Gnutzmann
Quantum graphs are a paradigmatic model for quantum chaos as well as for spectral theory. We give a concise didactical introduction to quantum graphs, or Schrödinger Hamiltonians…
math-ph2026
Symmetry Breaking and Phase Transitions in Random Non-Commutative Geometries and Related Random-Matrix Ensembles
Mauro D'Arcangelo, Sven Gnutzmann
Ensembles of random fuzzy non-commutative geometries may be described in terms of finite (\(N^2\)-dimensional) Dirac operators and a probability measure. Dirac operators of type \(…