540 citations · 2.7k across the 30 of their papers we have counts for
12 papers · 1 filter
Many-body localization: an introduction for mathematicians
Francois Huveneers
These notes are based on a mini-course delivered at the Les Houches Summer School, Quantum Theory on All Scales, in August 2026. They introduce many-body localization to mathematic…
Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains
Wojciech De Roeck, Lydia Giacomin, Amirali Hannani +1
We show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investig…
Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains
Wojciech De Roeck, Lydia Giacomin, Francois Huveneers +1
We prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length vanishes faster than . This means that transport is anomalous in su…
Rigorous and simple results on very slow thermalization, or quasi-localization, of the disordered quantum chain
Wojciech De Roeck, François Huveneers, Branko Meeus +1
This paper originates from lectures delivered at the summer school "Fundamental Problems in Statistical Physics XV" in Bruneck, Italy, in 2021. We give a brief and limited introduc…
Long persistence of localization in a disordered anharmonic chain beyond the atomic limit
Wojciech De Roeck, François Huveneers, Oskar A. Prośniak
We establish rigorous bounds on the decorrelation time and thermal transport in the disordered Klein-Gordon chain with a quartic on-site potential, governed by a parameter . At…
Derivation of Euler equations from quantum and classical microscopic dynamics
Amirali Hannani, François Huveneers
We derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or clas…
Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions
Wojciech De Roeck, Francois Huveneers, Stefano Olla
We establish rigorously that transport is slower than diffusive for a class of disordered one-dimensional Hamiltonian chains. This is done by deriving quantitative bounds on the va…
Anderson Localisation for periodically driven systems
Raphael Ducatez, François Huveneers
We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice , periodically driven on each site. Under two different…
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
Dmitry Abanin, Wojciech De Roeck, Wen Wei Ho +1
Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous fr…
Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential
Cédric Bernardin, François Huveneers
We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $λ\rightarrow…
Energy transport through rare collisions
François Huveneers
We study a one-dimensional hamiltonian chain of masses perturbed by an energy conserving noise. The dynamics is such that, according to its hamiltonian part, particles move freely…
Subdiffusive behavior generated by irrational rotations
François Huveneers
The origin of deterministic diffusion is a matter of discussion. We study the asymptotic distributions of the sums , where is a periodic functio…