1 citations · 1 across the 3 of their papers we have counts for
5 papers
Multifractal eigenfunctions for quantum star graphs
Jonathan P. Keating, Henrik Ueberschaer
We prove that the eigenfunctions of quantum star graphs exhibit multifractal self-similar structure in certain specified circumstances. In the semiclassical regime, when the spectr…
Non-gaussian waves in Seba's billiard
Pär Kurlberg, Henrik Ueberschaer
The Seba billiard, a rectangular torus with a point scatterer, is a popular model to study the transition between integrability and chaos in quantum systems. Whereas such billiards…
Scarred quasimodes on translation surfaces
Omer Friedland, Henrik Ueberschaer
Rational polygonal billiards are one of the key models among the larger class of pseudo-integrable billiards. Their billiard flow may be lifted to the geodesic flow on a translatio…
The quantum Loschmidt echo on flat tori
Gabriel Rivière, Henrik Ueberschaer
The Quantum Loschmidt Echo is a measurement of the sensitivity of a quantum system to perturbations of the Hamiltonian. In the case of the standard 2-torus, we derive some explicit…
Delocalization for random displacement models with Dirac masses
Henrik Ueberschaer
We study a random Schroedinger operator, the Laplacian with random Dirac delta potentials on a torus T^d_L = R^d/LZ^d, in the thermodynamic limit L\to\infty, for dimension d=2. The…