418 citations · 1.8k across the 48 of their papers we have counts for
4 papers · 1 filter
Dispersive Estimates for Harmonic Oscillator Systems
Vita Borovyk, Robert Sims
We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over . In contrast to recently obtained, short-time l…
Dynamical Localization in Disordered Quantum Spin Systems
Eman Hamza, Robert Sims, Günter Stolz
We say that a quantum spin system is dynamically localized if the time-evolution of local observables satisfies a zero-velocity Lieb-Robinson bound. In terms of this definition we…
Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele +1
Gapped ground states of quantum spin systems have been referred to in the physics literature as being `in the same phase' if there exists a family of Hamiltonians H(s), with finite…
Much Ado About Something: Why Lieb-Robinson bounds are useful
Bruno Nachtergaele, Robert Sims
This is a short review on the applications of Lieb-Robinson bounds for a general readership of mathematical physicists.