540 citations · 2.7k across the 30 of their papers we have counts for
34 papers
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…
Convection Patterns in Nonequilibrium Kawasaki Dynamics at Low Temperature
Meander Van den Brande, Kyosuke Adachi, Francois Huveneers
We study a conservative stochastic lattice gas (Kawasaki dynamics) coupled in the bulk to a heat bath, which leads to standard phase separation at low uniform temperatures. Instead…
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…
Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds
Wojciech De Roeck, François Huveneers, Oskar A. Prośniak
We study the breakdown of Anderson localization in the one-dimensional nonlinear Klein-Gordon chain, a prototypical example of a disordered classical many-body system. A series of…
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…
Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
François Huveneers, Jani Lukkarinen
We investigate the emergence of an astonishingly long pre-thermal plateau in a classical phonon field, here a harmonic chain with on-site pinning. Integrability is broken by a weak…
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…
Hydrodynamic limit for a disordered harmonic chain
Cédric Bernardin, François Huveneers, Stefano Olla
We consider a one-dimensional unpinned chain of harmonic oscillators with random masses. We prove that after hyperbolic scaling of space and time the distributions of the elongatio…
Response to a small external force and fluctuations of a passive particle in a one-dimensional diffusive environment
François Huveneers
We investigate the long time behavior of a passive particle evolving in a one-dimensional diffusive random environment, with diffusion constant . We consider two cases: (a) The…
Many-body delocalization as a quantum avalanche
Thimothée Thiery, François Huveneers, Markus Müller +1
We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase,…
How a small quantum bath can thermalize long localized chains
David J. Luitz, François Huveneers, Wojciech de Roeck
We investigate the stability of the many-body localized (MBL) phase for a system in contact with a single ergodic grain, modelling a Griffiths region with low disorder. Our numeric…
Classical and quantum systems: transport due to rare events
François Huveneers
We review possible mechanisms for energy transfer based on 'rare' or 'non-perturbative' effects, in physical systems that present a many-body localized phenomenology. The main focu…
Step Heat Profile in Localized Chains
Wojciech De Roeck, Abhishek Dhar, Francois Huveneers +1
We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spi…
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…
Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
D. A. Abanin, W. De Roeck, W. W. Ho +1
We establish some general dynamical properties of lattice many-body systems that are subject to a high-frequency periodic driving. We prove that such systems have a quasi-conserved…
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…
Exponentially slow heating in periodically driven many-body systems
Dmitry Abanin, Wojciech De Roeck, François Huveneers
We derive general bounds on the linear response energy absorption rates of periodically driven many-body systems of spins or fermions on a lattice. We show that for systems with lo…
Absence of many-body mobility edges
Wojciech de Roeck, Francois Huveneers, Markus Müller +1
Localization transitions as a function of temperature require a many-body mobility edge in energy, separating localized from ergodic states. We argue that this scenario is inconsis…
A theory of many-body localization in periodically driven systems
Dmitry Abanin, Wojciech De Roeck, François Huveneers
We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet opera…
Many-body localization in periodically driven systems
Pedro Ponte, Z. Papić, François Huveneers +1
We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two…
Can translation invariant systems exhibit a Many-Body Localized phase?
Wojciech De Roeck, François Huveneers
This note is based on a talk by one of us, F. H., at the conference PSPDE II, Minho 2013. We review some of our recent works related to (the possibility of) Many-Body Localization…