Papers and Preprints:

1. _A bulk gap in the presences of edge states for a truncated pseudopotential_-2021 (with S. Warzel) arXiv Pfeil

2. Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems - 2021 (with B. Nachtergaele and R. Sims) arXiv Pfeil

3. Quasi-locality bounds for quantum lattice systems, part II: Perturbations of frustration-free spin models with gapped ground states - 2021, Ann. Henri Poincaré, DOI: 10.1007/s00023-021-01086-5, 119 pp arXiv Pfeil Journal Pfeil

4. Spectral gaps and incompressibility in a ν=1/3 fractional quantum Hall System - 2021, Commun. Math. Phys. 383, 1093-1149 (with B. Nachtergaele and S. Warzel) arXiv Pfeil Journal Pfeil

5. Low-complexity eigenstates of a ν=1/3 fractional quantum Hall system - 2021, J. Phys. A: Math. Theor. 54, 01LT01 (with B. Nachtergaele and S. Warzel) arXiv Pfeil Journal Pfeil

6. A class of two-dimensional AKLT models with a gap - 2020, Analytic Trends in Mathematical Physics, Contemp. Math. 741, 1-21 (with H. Abdul-Rahman, M. Lemm, A. Lucia and B. Nachtergaele) arXiv PfeilJournal Pfeil

7. Quasi-locality bounds for quantum lattice systems, part I: Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms - 2019, J. Math. Phys. 60, 061101 (with B. Nachtergaele and R. Sims) arXiv Pfeil Journal Pfeil

8. Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems - 2018, Contemp. Math. 717 (with B. Nachtergaele and R. Sims) arXiv Pfeil Journal Pfeil

9. Spectral Gap and Edge Excitations of d-Dimensional PVBS Models on Half-Spaces - 2015, J. Stat. Phys. 162 (with M. Bishop and B. Nachtergaele) arXiv Pfeil Journal Pfeil

10. Product Vacua and Boundary State Models in d Dimensions - 2015, J. Stats. Phys. 160 (with S. Bachmann, E. Hamza, and B. Nachtergaele) arXiv Pfeil Journal Pfeil

11. On Enriching the Levin-Wen Model with Symmetry - 2015, J. Phys. A: Math. Theor. 48 (with L. Chang, M. Cheng, S. Cui, Y. Hu, W. Jin, R. Movassagh, P. Naaijkens, and Z. Wang) arXiv Pfeil Journal Pfeil


Editing:

Analytic Trends in Mathematical Physics, Contemp. Math. 741, 2020 (with H. Abdul-Rahman and R. Sims)


Dissertation:

A. Young, Spectral Properties of Multi-Dimensional Quantum Spin Systems, Ph.D. Dissertation, University of California, Davis, 2016

 
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