418 citations · 1.8k across the 48 of their papers we have counts for
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On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
Eric B. Roon, Robert Sims
We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dyn…
Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
Houssam Abdul-Rahman, Robert Sims, Günter Stolz
We provide an analytic method for estimating the entanglement of the non-gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of t…
Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems
Bruno Nachtergaele, Robert Sims, Amanda Young
We prove that uniformly small short-range perturbations do not close the bulk gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topo…
Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
Bruno Nachtergaele, Robert Sims, Amanda Young
We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems defined by frustration-free Hamiltonians. The core resul…
Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in
Martin Gebert, Bruno Nachtergaele, Jake Reschke +1
We introduce a class of UV-regularized two-body interactions for fermions in and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems.…
On the Regime of Localized Excitations for Disordered Oscillator Systems
Houssam Abdul-Rahman, Robert Sims, Günter Stolz
We study quantum oscillator lattice systems with disorder, in arbitrary dimension, requiring only partial localization of the associated effective one-particle Hamiltonian. This le…