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Amanda Young
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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), 2019
892019
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, 93-115, 2018
582018
A class of two-dimensional AKLT models with a gap
H Abdul-Rahman, M Lemm, A Lucia, B Nachtergaele, A Young
Analytic Trends in Mathematical Physics 741, 1-21, 2020
312020
On enriching the Levin–Wen model with symmetry
L Chang, M Cheng, SX Cui, Y Hu, W Jin, R Movassagh, P Naaijkens, ...
Journal of Physics A: Mathematical and Theoretical 48 (12), 12FT01, 2015
272015
Product Vacua and Boundary State Models in -Dimensions
S Bachmann, E Hamza, B Nachtergaele, A Young
Journal of Statistical Physics 160, 636-658, 2015
262015
Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
B Nachtergaele, R Sims, A Young
Annales Henri Poincaré, 1-119, 2021
202021
Spectral Gap and Edge Excitations of d-Dimensional PVBS Models on Half-Spaces
M Bishop, B Nachtergaele, A Young
Journal of Statistical Physics 162, 1485-1521, 2016
192016
Low-complexity eigenstates of a ν= 1/3 fractional quantum Hall system
B Nachtergaele, S Warzel, A Young
Journal of Physics A: Mathematical and Theoretical 54 (1), 01LT01, 2020
162020
Spectral gaps and incompressibility in a ν= 1/3 fractional quantum Hall system
B Nachtergaele, S Warzel, A Young
Communications in Mathematical Physics 383 (2), 1093-1149, 2021
142021
Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems
B Nachtergaele, R Sims, A Young
Letters in Mathematical Physics 114 (1), 24, 2024
122024
A bulk spectral gap in the presence of edge states for a truncated pseudopotential
S Warzel, A Young
Annales Henri Poincaré 24 (1), 133-178, 2023
112023
The spectral gap of a fractional quantum Hall system on a thin torus
S Warze, A Young
Journal of Mathematical Physics 63 (4), 2022
102022
Spectral properties of multi-dimensional quantum spin systems
AM Young
University of California, Davis, 2016
102016
Analytic Trends in Mathematical Physics
H Abdul-Rahman, R Sims, A Young
American Mathematical Society, 1920
41920
Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
A Lucia, A Moon, A Young
Annales Henri Poincaré, 1-46, 2023
32023
A class of two-dimensional AKLT models with a gap, Analytic trends in mathematical physics
H Abdul-Rahman, M Lemm, A Lucia, B Nachtergaele, A Young
Contemp. Math 741 (1), 0
3
Quantum Spin Systems
A Young
arXiv preprint arXiv:2308.07848, 2023
12023
On a bulk gap strategy for quantum lattice models
A Young
arXiv preprint arXiv:2308.01405, 2023
12023
A nonvanishing spectral gap for AKLT models on generalized decorated graphs
A Lucia, A Young
Journal of Mathematical Physics 64 (4), 2023
12023
Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
A Moon, A Young, A Lucia
Springer Nature, 2023
2023
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