1.1k citations · 6.2k across the 116 of their papers we have counts for
11 papers · 1 filter
Quantum Poincare' recurrences in microwave ionization of Rydberg atoms
Giuliano Benenti, Giulio Casati
We study the time dependence of the ionization probability of Rydberg atoms driven by a microwave field. The quantum survival probability follows the classical one up to the Heisen…
Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field
Giuliano Benenti, Giulio Casati, Giulio Maspero +1
We study the time dependence of the ionization probability of Rydberg atoms driven by a microwave field, both in classical and in quantum mechanics. The quantum survival probabilit…
Quantum Poincaré Recurrences
Giulio Casati, Giulio Maspero, Dima L. Shepelyansky
We show that quantum effects modify the decay rate of Poincaré recurrences P(t) in classical chaotic systems with hierarchical structure of phase space. The exponent p of the algeb…
Chaotic enhancement in microwave ionization of Rydberg atoms
Giuliano Benenti, Giulio Casati, Dima L. Shepelyansky
The microwave ionization of internally chaotic Rydberg atoms is studied analytically and numerically. The internal chaos is induced by magnetic or static electric fields. This lead…
Quantum mechanics of chaotic billiards
Giulio Casati, Tomaz Prosen
We study the quantum behaviour of chaotic billiards which exhibit classically diffusive behaviour. In particular we consider the stadium billiard and discuss how the interplay betw…
Quantum localization and cantori in chaotic billiards
Giulio Casati, Tomaz Prosen
We study the quantum behaviour of the stadium billiard. We discuss how the interplay between quantum localization and the rich structure of the classical phase space influences the…
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…
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…
Dynamical Localization: Hydrogen Atoms in Magnetic and Microwave fields
Francesco Benvenuto, Giulio Casati, Dima L. Shepelyansky
We show that dynamical localization for excited hydrogen atoms in magnetic and microwave fields takes place at quite low microwave frequency much lower than the Kepler frequency. T…