418 citations · 2.2k across the 78 of their papers we have counts for
81 papers
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…
The charge gap is greater than the neutral gap in fractional quantum Hall systems
Marius Lemm, Bruno Nachtergaele, Simone Warzel +1
Past studies of fractional quantum Hall systems have found that the charge gap dominates the neutral gap for all relevant parameter choices. We report a wide-ranging proof that thi…
Remembrances of Derek William Robinson (25 June 1935 - 31 August 2021)
Michael Barnsley, Bruno Nachtergaele, Barry Simon
This arXiv submission is posted primarily to make available some additional material to what we prepared for the Derek Memorial article published in the Notices of the AMS. We star…
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…