418 citations · 2.2k across the 78 of their papers we have counts for
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Lieb-Robinson bounds and the existence of infinite system dynamics
Bruno Nachtergaele
We present a recent result on the existence of the dynamics in the thermodynamic limit of a class of anharmonic quantum oscillator lattices, which was obtained using Lieb--Robinson…
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…
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…
Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
Tom Michoel, Jaideep Mulherkar, Bruno Nachtergaele
We demonstrate an implementation scheme for constructing quantum gates using unitary evolutions of the one-dimensional spin-J ferromagnetic XXZ chain. We present numerical results…