5 papers
Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime
Wen-ge Wang, G. Casati, Baowen Li +1
We use the uniform semiclassical approximation in order to derive the fidelity decay in the regime of large perturbations. Numerical computations are presented which agree with our…
The triangle map: a model of quantum chaos
Giulio Casati, Tomaz Prosen
We study an area preserving parabolic map which emerges from the Poincar\' e map of a billiard particle inside an elongated triangle. We provide numerical evidence that the motion…
Momentum conservation implies anomalous energy transport in 1d classical lattices
Tomaz Prosen, David K. Campbell
Under quite general conditions, we prove that for classical many-body lattice Hamiltonians in one dimension (1D) total momentum conservation implies anomalous conductivity in the s…
Quantization of generic chaotic 3D billiard with smooth boundary II: structure of high-lying eigenstates
Tomaz Prosen
This is the first survey of highly excited eigenstates of a chaotic 3D billiard. We introduce a strongly chaotic 3D billiard with a smooth boundary and we manage to calculate accur…
Quantum Surface of Section Method: Demonstration of semiclassical Berry-Robnik energy level spacing distribution in a generic 2-dim Hamiltonian system
Tomaz Prosen
The recently developed quantum surface of section method is applied to a search for extremely high-lying energy levels in a simple but generic Hamiltonian system between integrabil…