Lieb-Robinson bounds and the exponential clustering theorem B Nachtergaele, R Sims Communications in mathematical physics 265 (1), 119-130, 2006 | 341 | 2006 |
Extended variational principle for the Sherrington-Kirkpatrick spin-glass model M Aizenman, R Sims, SL Starr Physical Review B 68 (21), 214403, 2003 | 188 | 2003 |
Propagation of correlations in quantum lattice systems B Nachtergaele, Y Ogata, R Sims Journal of statistical physics 124 (1), 1-13, 2006 | 185 | 2006 |
Automorphic equivalence within gapped phases of quantum lattice systems S Bachmann, S Michalakis, B Nachtergaele, R Sims Communications in Mathematical Physics 309, 835--871, 2012 | 134 | 2012 |
Lieb-Robinson bounds for harmonic and anharmonic lattice systems B Nachtergaele, H Raz, B Schlein, R Sims Comm. Math. Phys. 286 (3), 1073-1098, 2007 | 112 | 2007 |
Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs M Aizenman, R Sims, S Warzel Probability theory and related fields 136 (3), 363-394, 2006 | 99 | 2006 |
Absolutely continuous spectra of quantum tree graphs with weak disorder M Aizenman, R Sims, S Warzel Communications in mathematical physics 264 (2), 371-389, 2006 | 97 | 2006 |
Localization for one-dimensional, continuum, Bernoulli-Anderson models D Damanik, R Sims, G Stolz Duke Mathematical Journal 114 (1), 59-100, 2002 | 93 | 2002 |
Lieb-Robinson bounds in quantum many-body physics B Nachtergaele, R Sims Contemporary Mathematics 529, 141-176, 2010 | 79 | 2010 |
Dynamical Localization in Disordered Quantum Spin Systems E Hamza, R Sims, G Stolz Commun. Math. Phys. 315, 215-239, 2012 | 76 | 2012 |
A multi-dimensional Lieb-Schultz-Mattis theorem B Nachtergaele, R Sims Communications in Mathematical Physics 276 (2), 437-472, 2007 | 73 | 2007 |
Locality estimates for quantum spin systems B Nachtergaele, R Sims New Trends in Mathematical Physics, 591-614, 2009 | 43 | 2009 |
Mean-field spin glass models from the cavity-ROSt perspective. M Aizenman, R Sims, SL Starr Contemporary Mathematics 437 (Prospects in mathematical physics), 1-30, 2007 | 43 | 2007 |
On the existence of the dynamics for anharmonic quantum oscillator systems B Nachtergaele, B Schlein, R Sims, S Starr, V Zagrebnov Rev. Math. Phys. 22 (2), 207-231, 2010 | 39 | 2010 |
Localization properties of the disordered XY spin chain. A review of mathematical results with an eye toward many-body localization H Abdul-Rahman, B Nachtergaele, R Sims, G Stolz Annalen der Physik, 1600280, 2017 | 31 | 2017 |
Lieb–Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems B Nachtergaele, R Sims, A Young Mathematical Problems in Quantum Physics 717, 2018 | 28 | 2018 |
Entanglement dynamics of disordered quantum XY chains H Abdul-Rahman, B Nachtergaele, R Sims, G Stolz Lett. Math. Phys. 106, 649-674, 2015 | 28 | 2015 |
Approximating the ground state of gapped quantum spin systems E Hamza, S Michalakis, B Nachtergaele, R Sims Journal of mathematical physics 50 (9), 095213, 2009 | 27 | 2009 |
Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms B Nachtergaele, R Sims, A Young Journal of Mathematical Physics 60 (6), 061101, 2019 | 25 | 2019 |
Much Ado About Something: Why Lieb-Robinson bounds are useful B Nachtergaele, R Sims Bulletin for the International Association of Mathematical Physics, 2010 | 24 | 2010 |