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20142026
most citedQuasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms

95 citations · 248 across the 19 of their papers we have counts for

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Showing 2020 · math-phShow all

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math-ph2020★ 5 cited

Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States

Bruno Nachtergaele, Robert Sims, Amanda Young

We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems defined by frustration-free Hamiltonians. The core resul…

math-ph2020★ 18 cited

Spectral Gaps and Incompressibility in a Fractional Quantum Hall System

Bruno Nachtergaele, Simone Warzel, Amanda Young

We study an effective Hamiltonian for the standard fractional quantum Hall system in the thin cylinder regime. We give a complete description of its ground state space in t…