5 papers
Nekhoroshev Theorem for time quasiperiodic perturbations of P-Steep systems
Dario Bambusi, Santiago Barbieri, Mar Giralt +1
We prove a Nekhoroshev type result for a time quasiperiodic perturbation of an integrable Hamiltonian system. More precisely, we assume that the integrable part is analytic and ful…
Transfer of energy for pure-gravity water waves with constant vorticity
Beatrice Langella, Alberto Maspero, Federico Murgante +1
We consider two-dimensional periodic gravity water waves with constant nonzero vorticity , in infinite depth and with periodic boundary conditions. We prove that, if the charac…
Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum Systems
Matteo Gallone, Beatrice Langella
We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving fr…
Growth of Sobolev norms for completely resonant quantum harmonic oscillators on
Beatrice Langella, Alberto Maspero, Maria Teresa Rotolo
We consider time dependently perturbed quantum harmonic oscillators in : $$ {\rm i} \partial_t u=\frac12(-\partial_{x_1}^2-\partial_{x_2}^2 + x_1^2+x_2^2)u +V(t, x, D…
Growth of Sobolev norms in quasi integrable quantum systems
Dario Bambusi, Beatrice Langella
We prove an abstract result giving a upper bound on the growth of the Sobolev norms of a time-dependent Schrödinger equation of the form ${i} \dot…