428 citations · 2.8k across the 48 of their papers we have counts for
32 papers · 1 filter
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…
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…
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…
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…
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…
Uniqueness regime for Markov dynamics on quantum lattice spin systems
Nicholas Crawford, Wojciech De Roeck, Marius Schütz
We consider a lattice of weakly interacting quantum Markov processes. Without interaction, the dynamics at each site is relaxing exponentially to a unique stationary state. With in…
The Toom Interface Via Coupling
Nick Crawford, Gady Kozma, Wojciech de Roeck
We consider a one dimensional interacting particle system which describes the effective interface dynamics of the two dimensional Toom model at low temperature and noise. We prove…
Local Perturbations Perturb -Exponentially- Locally
Wojciech De Roeck, Marius Schütz
We elaborate on the principle that for gapped quantum spin systems with local interaction "local perturbations [in the Hamiltonian] perturb locally [the ground state]". This princi…
Fluctuations in a kinetic transport model for quantum friction
Roland Bauerschmidt, Wojciech de Roeck, Jürg Fröhlich
We consider a linear Boltzmann equation that arises in a model for quantum friction. It describes a particle that is slowed down by the emission of bosons. We study the stochastic…
Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement
Wojciech De Roeck, Christian Maes, Karel Netočný +1
We study the projection on classical spins starting from quantum equilibria. We show Gibbsianness or quasi-locality of the resulting classical spin system for a class of gapped qua…
Quantum Diffusion with Drift and the Einstein Relation II
Wojciech De Roeck, Juerg Froehlich, Kevin Schnelli
This paper is a companion to 'Quantum Diffusion with Drift and the Einstein Relation I' (jointly submitted to arXiv). Its purpose is to describe and prove a certain number of techn…
Quantum Diffusion with Drift and the Einstein Relation I
Wojciech De Roeck, Juerg Froehlich, Kevin Schnelli
We study the dynamics of a quantum particle hopping on a simple cubic lattice and driven by a constant external force. It is coupled to an array of identical, independent thermal r…
Minimal velocity estimates and soft mode bounds for the massless spin-boson model
W. De Roeck, A. Kupiainen
We consider generalised versions of the spin-boson model at small coupling. We assume the spin (or atom) to sit at the origin and the propagation speed o…
Derivation of some translation-invariant Lindblad equations for a quantum Brownian particle
Wojciech De Roeck, Dominique Spehner
We study the dynamics of a Brownian quantum particle hopping on an infinite lattice with a spin degree of freedom. This particle is coupled to free boson gases via a translation-in…