95 citations · 248 across the 19 of their papers we have counts for
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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…
Low-complexity eigenstates of a fractional quantum Hall system
Bruno Nachtergaele, Simone Warzel, Amanda Young
We identify the the ground-state of a truncated version of Haldane's pseudo-potential Hamiltonian in a thin cylinder geometry as being composed of exponentially many fragmented mat…
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…