428 citations · 2.8k across the 48 of their papers we have counts for
51 papers
Ergodic inclusions in many body localized systems
Luis Colmenarez, David J. Luitz, Wojciech De Roeck
We investigate the effect of ergodic inclusions in putative many-body localized systems. To this end, we consider the random field Heisenberg chain, which is many-body localized at…
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…
Similarity between a many-body quantum avalanche model and the ultrametric random matrix model
Jan Šuntajs, Miroslav Hopjan, Wojciech De Roeck +1
In the field of ergodicity-breaking phases, it has been recognized that quantum avalanches can destabilize many-body localization at a wide range of disorder strengths. This has in…
A classification of -charge Thouless pumps in 1D invertible states
Sven Bachmann, Wojciech De Roeck, Martin Fraas +1
Recently, a theory has been proposed that classifies cyclic processes of symmetry protected topological (SPT) quantum states. For the case of spin chains, i.e.\ one-dimensional bos…
Derivation of Kubo's formula for disordered systems at zero temperature
Wojciech De Roeck, Alexander Elgart, Martin Fraas
This work justifies the linear response formula for the Hall conductance of a two-dimensional disordered system. The proof rests on controlling the dynamics associated with a rando…
Stability of invertible, frustration-free ground states against large perturbations
Sven Bachmann, Wojciech De Roeck, Brecht Donvil +1
A gapped ground state of a quantum spin system has a natural length scale set by the gap. This length scale governs the decay of correlations. A common intuition is that this lengt…
Rational indices for quantum ground state sectors
Sven Bachmann, Alex Bols, Wojciech De Roeck +1
We consider charge transport for interacting many-body systems with a gapped ground state subspace which is finitely degenerate and topologically ordered. To any locality-preservin…
A many-body Fredholm index for ground state spaces and Abelian anyons
Sven Bachmann, Alex Bols, Wojciech De Roeck +1
We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered -dimensi…
Persistence of exponential decay and spectral gaps for interacting fermions
Wojciech de Roeck, Manfred Salmhofer
We consider systems of weakly interacting fermions on a lattice. The corresponding free fermionic system is assumed to have a ground state separated by a gap from the rest of the s…
Quantization of conductance in gapped interacting systems
Sven Bachmann, Alex Bols, Wojciech De Roeck +1
We provide a short proof of the quantisation of the Hall conductance for gapped interacting quantum lattice systems on the two-dimensional torus. This is not new and should be seen…
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,…
The adiabatic theorem and linear response theory for extended quantum systems
Sven Bachmann, Wojciech De Roeck, Martin Fraas
The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter . Under suit…
Asymptotic Localization in the Bose-Hubbard Model
Alex Bols, Wojciech De Roeck
We consider the Bose-Hubbard model. Our focus is on many-body localization, which was described by many authors in such models, even in the absence of disorder. Since our work is r…
Stability of the uniqueness regime for ferromagnetic Glauber dynamics under non-equilibrium perturbations
N. Crawford, W. De Roeck
In this paper, we prove a general result concerning finite-range, attractive interacting particle systems on . If the particle system has a unique station…
Adiabatic Theorem for Quantum Spin Systems
Sven Bachmann, Wojciech De Roeck, Martin Fraas
The first proof of the quantum adiabatic theorem was given as early as 1928. Today, this theorem is increasingly applied in a many-body context, e.g. in quantum annealing and in st…
Invariance principle for `push' tagged particles for a Toom Interface
Nick Crawford, Wojciech De Roeck
In many interacting particle systems, tagged particles move diffusively upon subtracting a drift. General techniques to prove such `invariance principles' are available for reversi…
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…
Stability and instability towards delocalization in MBL systems
Wojciech De Roeck, François Huveneers
We propose a theory that describes quantitatively the (in)stability of fully MBL systems due to ergodic, i.e. delocalized, grains, that can be for example due to disorder fluctuati…
An exponentially local spectral flow for possibly non-self-adjoint perturbations of non-interacting quantum spins, inspired by KAM theory
Wojciech De Roeck, Marius Schütz
Since its introduction by Hastings in [10], the technique of quasi-adiabatic continuation has become a central tool in the discussion and classification of ground state phases. It…
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…