418 citations · 1.8k across the 48 of their papers we have counts for
4 papers · 1 filter
On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
Bruno Nachtergaele, Benjamin Schlein, Robert Sims +2
We construct a W^*-dynamical system describing the dynamics of a class of anharmonic quantum oscillator lattice systems in the thermodynamic limit. Our approach is based on recentl…
A note on fractional moments for the one-dimensional continuum Anderson model
Eman Hamza, Robert Sims, Günter Stolz
We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fr…
Approximating the ground state of gapped quantum spin systems
Eman Hamza, Spyridon Michalakis, Bruno Nachtergaele +1
We consider quantum spin systems defined on finite sets equipped with a metric. In typical examples, is a large, but finite subset of Z^d. For finite range Hamiltonians wit…
Lieb-Robinson bounds for classical anharmonic lattice systems
Hillel Raz, Robert Sims
We prove locality estimates, in the form of Lieb-Robinson bounds, for classical oscillator systems defined on a lattice. Our results hold for the harmonic system and a variety of a…