CV and Research Articles

CV

Research Articles

• Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices: with T.A. Jackson and Bruno Nachtergaele (2026)
  • arXiv, Journal
• Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systems: with M. Lemm, B. Nachtergaele and S. Warzel (2026)
  • arXiv, Journal
• The charge gap is greater than the neutral gap in fractional quantum Hall systems: with M. Lemm, B. Nachtergaele and S. Warzel (2024)
  • arXiv
• Quantum Spin Systems (2024)
  • arXiv, Encyclopedia
• On a bulk gap strategy for quantum lattice models (2024)
  • arXiv, Journal
• Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems: with B. Nachtergaele and R. Sims (2024)
  • arXiv, Journal
• A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs: with A. Lucia (2023)
  • arXiv, Journal
• Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model: with A. Lucia and A. Moon (2023)
  • arXiv, Journal
• The spectral gap of a fractional quantum Hall system on a thin torus: with S. Warzel (2022)
  • arXiv, Journal
• A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential: with S. Warzel (2022)
  • arXiv, Journal
• Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States: with B. Nachtergaele and R. Sims (2021)
  • arXiv, Journal
• Low-complexity eigenstates of a ν=1/3 fractional quantum Hall system: with B. Nachtergaele and S. Warzel (2021)
  • arXiv, Journal
• Spectral Gaps and Incompressibility in a ν=1/3 Fractional Quantum Hall System: with B. Nachtergaele and S. Warzel (2021)
  • arXiv, Journal
• A class of two-dimensional AKLT models with a gap: with H. Abdul-Rahman, M. Lemm, A. Lucia and B. Nachtergaele (2020)
  • arXiv, Journal
• Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms: with B. Nachtergaele and R. Sims (2019)
  • arXiv, Journal
• Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems: with B. Nachtergaele and R. Sims (2018)
  • arXiv, Journal
• Spectral Gap and Edge Excitations of d-dimensional PVBS models on half-spaces: with M. Bishop and B. Nachtergaele (2016)
  • arXiv, Journal
• On Enriching the Levin-Wen model with Symmetry: with L. Chang, M. Cheng, S.X. Cui, Y. Hu, W. Jin, R. Movassagh, P. Naaijkens and Z. Wang (2015)
  • arXiv, Journal
• Product Vacua and Boundary State Models in d Dimensions: with S. Bachmann, E. Hamza and B. Nachtergaele (2015)
  • arXiv, Journal