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Statistical and dynamical properties of the quantum triangle map
Jiaozi Wang, Giuliano Benenti, Giulio Casati +1
We study the statistical and dynamical properties of the quantum triangle map, whose classical counterpart can exhibit ergodic and mixing dynamics, but is never chaotic. Numerical…
Quantum chaos in triangular billiards
Črt Lozej, Giulio Casati, Tomaž Prosen
We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six represen…
Few Islands Approximation of Hamiltonian System with divided Phase Space
Leonid A. Bunimovich, Giulio Casati, Tomaz Prosen +1
It is well known that typical Hamiltonian systems have divided phase space consisting of regions with regular dynamics on KAM tori and region(s) with chaotic dynamics called chaoti…
Non-ergodicity and localization of invariant measure for two colliding masses
Jiao Wang, Giulio Casati, Tomaz Prosen
We show evidence, based on extensive and carefully performed numerical experiments, that the system of two elastic hard-point masses in one-dimension is not ergodic for a generic m…
Time irreversible billiards with piecewise-straight trajectories
Giulio Casati, Tomaz Prosen
We introduce a new family of billiards which break time reversal symmetry in spite of having piece-wise straight trajectories. We show that our billiards preserve the ergodic and m…
Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
Hailong Wang, Jiao Wang, Italo Guarneri +2
Long-lasting quantum exponential spreading was recently found in a simple but very rich dynamical model, namely, an on-resonance double-kicked rotor model [J. Wang, I. Guarneri, G.…
Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
Jiao Wang, Italo Guarneri, Giulio Casati +1
Using a dynamical model relevant to cold-atom experiments, we show that long-lasting exponential spreading of wave packets in momentum space is possible. Numerical results are expl…
Complexity of Quantum States and Reversibility of Quantum Motion
Valentin V. Sokolov, Oleg V. Zhirov, Giuliano Benenti +1
We present a quantitative analysis of the reversibility properties of classically chaotic quantum motion. We analyze the connection between reversibility and the rate at which a qu…
Directed deterministic classical transport: symmetry breaking and beyond
Lucia Cavallasca, Roberto Artuso, Giulio Casati
We consider transport properties of a double delta-kicked system, in a regime where all the symmetries (spatial and temporal) that could prevent directed transport are removed. We…
Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics
Giulio Casati, Tomaz Prosen, Jinghua Lan +1
We provide analytical and numerical evidence that classical mixing systems which lack exponential sensitivity on initial conditions, exhibit universal decay of Loschmidt echo which…
Quantum chaos and the double-slit experiment
Giulio Casati, Tomaz Prosen
We report on the numerical simulation of the double-slit experiment, where the initial wave-packet is bounded inside a billiard domain with perfectly reflecting walls. If the shape…
On the stability of classical chaotic motion under system's perturbations
Giuliano Benenti, Giulio Casati, Gregor Veble
We study in detail the time behavior of classical fidelity for chaotic systems. We show in particular that the asymptotic decay, depending on system dynamical properties, can be ei…
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…