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