25 citations · 168 across the 24 of their papers we have counts for
26 papers
On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
Matteo Gallone
We study prethermalization in time-independent quantum many-body systems on a -dimensional lattice with an extensive local Hamiltonian , in the regime where $…
Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain
Matteo Gallone, Ricardo Grande, Antonio Ponno +2
We investigate the dynamics of the Fermi--Pasta--Ulam--Tsingou chain with long-wavelength random initial data. When the energy per particle is small, thermal equilibrium is not rea…
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…
The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models
Matteo Gallone
In these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models fro…
Trapping by repulsion: the NLS with a delta-prime
Riccardo Adami, Filippo Boni, Matteo Gallone
We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schrödinger equation with a repulsive delta-prime potential and a focus…
Non-relativistic limit of Dirac Hamiltonians with Aharonov-Bohm fields
Matteo Gallone, Alessandro Michelangeli, Diego Noja
We characterise the families of self-adjoint Dirac and Schrödinger operators with Aharonov-Bohm magnetic field, and we exploit the non-relativistic limit of infinite light speed to…