418 citations · 2.2k across the 78 of their papers we have counts for
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On the Spectrum of Some Temperley-Lieb Spin Chains
Robert Ferydouni, Bruno Nachtergaele
We review mathematical results about the spectrum of spin- chains with a nearest neighbor interaction given by the projection onto the singlet state of two spin- degrees of f…
Dynamical abelian anyons with bound states and scattering states
Sven Bachmann, Bruno Nachtergaele, Siddharth Vadnerkar
We introduce a family of quantum spin Hamiltonians on that can be regarded as perturbations of Kitaev's abelian quantum double models that preserve the gauge and dua…
From Lieb-Robinson Bounds to Automorphic Equivalence
Bruno Nachtergaele
I review the role of Lieb-Robinson bounds in characterizing and utilizing the locality properties of the Heisenberg dynamics of quantum lattice systems. In particular, I discuss tw…
A Lieb-Robinson bound for quantum spin chains with strong on-site impurities
Martin Gebert, Alvin Moon, Bruno Nachtergaele
We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorp…
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…
Dimerization in quantum spin chains with symmetry
Jakob E. Björnberg, Peter Mühlbacher, Bruno Nachtergaele +1
We consider quantum spins with , and two-body interactions with symmetry. We discuss the ground state phase diagram of the one-dimensional system. We give a rigor…