426 citations · 5.6k across the 221 of their papers we have counts for
4 papers · 1 filter
Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space
B. V. Chirikov, D. L. Shepelyansky
By different methods we show that for dynamical chaos in the standard map with critical golden curve the Poincaré recurrences P(τ) and correlations C(τ) asymptotically decay in tim…
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…
Integrability and Quantum Chaos in Spin Glass Shards
B. Georgeot, D. L. Shepelyansky
We study spin glass clusters ("shards") in a random transverse magnetic field, and determine the regime where quantum chaos and random matrix level statistics emerge from the integ…
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…