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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…
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 $…
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…
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 t…
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…
Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevance
Matteo Gallone, Vieri Mastropietro
We prove that in the 2d Ising Model with a weak bidimensional quasi-periodic disorder in the interaction, the critical behavior is the same as in the non-disordered case, that is t…