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Ergodic properties of quantum conservative systems
Fausto Borgonovi, Giulio Casati
In this paper we discuss the ergodic properties of quantum conservative systems by analyzing the behavior of two different models. Despite their intrinsic differencies they both sh…
Quantum Fractal Eigenstates
Giulio Casati, Giulio Maspero, Dima L. Shepelyansky
We study quantum chaos in open dynamical systems and show that it is characterized by quantum fractal eigenstates located on the underlying classical strange repeller. The states w…
Structure of Eigenstates and Local Spectral Density of States: A Three-Orbital Schematic Shell Model
Wen-ge Wang, F. M. Izrailev, G. Casati
The average shape of the Spectral Local Density of States (LDOS) and eigenfunctions (EFs) has been studied numerically for a conservative dynamical model (three-orbital Lipkin-Mesh…
Relaxation process in a regime of quantum chaos
Giulio Casati, Giulio Maspero, Dima L. Shepelyansky
We show that the quantum relaxation process in a classically chaotic open dynamical system is characterized by a quantum relaxation time scale t_q. This scale is much shorter than…
Hundred photon microwave ionization of Rydberg atoms in a static electric field
Giuliano Benenti, Giulio Casati, Dima L. Shepelyansky
We present analytical and numerical results for the microwave excitation of nonhydrogenic atoms in a static electric field when up to 1000 photons are required to ionize an atom. F…
Non ergodic quantum behaviour in classically chaotic 3D billiards
Giulio Casati, Tomaz Prosen
We study, analytically and numerically, the classical and quantum properties of a nearly spherical 3D billiard. In particular we show the appearence of quantum non ergodic behaviou…
Landauer and Thouless Conductance: a Band Random Matrix Approach
Giulio Casati, Italo Guarneri, Giulio Maspero
We numerically analyze the transmission through a thin disordered wire of finite length attached to perfect leads, by making use of banded random Hamiltonian matrices. We compare t…