428 citations · 2.8k across the 48 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…