35 citations · 57 across the 17 of their papers we have counts for
7 papers · 1 filter
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…
Prethermalization and conservation laws in quasi-periodically-driven quantum systems
Matteo Gallone, Beatrice Langella
We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. {When the frequency of the driving is lar…
On the stable eigenvalues of perturbed anharmonic oscillators in dimension two
D. Bambusi, B. Langella, M. Rouveyrol
We study the asymptotic behavior of the spectrum of a quantum system which is a perturbation of a spherically symmetric anharmonic oscillator in dimension 2. We prove that a large…
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We study Schrödinger operators with Floquet boundary conditions on flat tori obtaining a spectral result giving an asymptotic expansion of all the eigenvalues. The expansion is in…
On the spectrum of the Schrödinger operator on : a normal form approach
Dario Bambusi, Beatrice Langella, Riccardo Montalto
In this paper we study the spectrum of the operator \begin{equation} \label{ope} H:=(-Δ)^{M/2}+\mathcal{V}\ , \quad M>0\ , \end{equation} on , with a maxim…
Reducibility of non-resonant transport equation on with unbounded perturbations
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We prove reducibility of a transport equation on the -dimensional torus with a time quasi-periodic unbounded perturbation. As far as we know this is the first example of a…
Absolute continuity of the spectrum of coupled identical systems on 1D lattices
Beatrice Langella, Dario Bambusi
We prove that the spectrum of the discrete Schrödinger operator on , is absolutely continuo…