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Past studies of fractional quantum Hall systems have found that the charge gap dominates the neutral gap for all relevant parameter choices. We report a wide-ranging proof that this domination is in fact a universal property of any Hamiltonian that s
Externí odkaz:
http://arxiv.org/abs/2410.11645
Autor:
Young, Amanda
This work provides an overview of gapped quantum spin systems, including concepts, techniques, properties, and results. The basic framework and objects of interest for quantum spin systems are introduced, and the main ideas behind methods for proving
Externí odkaz:
http://arxiv.org/abs/2308.07848
Autor:
Young, Amanda
Establishing the (non)existence of a spectral gap above the ground state in the thermodynamic limit is one of the fundamental steps for characterizing the topological phase of a quantum lattice model. This is particularly challenging when a model is
Externí odkaz:
http://arxiv.org/abs/2308.01405
Autor:
Lucia, Angelo, Young, Amanda
Publikováno v:
J. Math. Phys. 64, 041902 (2023)
We consider the spectral gap question for AKLT models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing all edges of $G$ with a chain of $n$ sites, in particular includes any d
Externí odkaz:
http://arxiv.org/abs/2212.11872
Publikováno v:
Ann. Henri Poincar\'e (2023)
We use cluster expansions to establish local indistiguishability of the finite-volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topologica
Externí odkaz:
http://arxiv.org/abs/2209.01141
Autor:
Young, Amanda B.
The main objectives of this investigation were to determine the impact of climate on mountain birch (Betula pubecens ssp. czerepanovii (Orlova)) growth and to develop a regional chronology of autumnal moth outbreaks. To accomplish the objective, core
Externí odkaz:
http://hdl.handle.net/1969.1/ETD-TAMU-2008-08-58
Autor:
Warzel, Simone, Young, Amanda
We study a fractional quantum Hall system with maximal filling $ \nu = 1/3 $ in the thin torus limit. The corresponding Hamiltonian is a truncated version of Haldane's pseudopotential, which upon a Jordan-Wigner transformation is equivalent to a one-
Externí odkaz:
http://arxiv.org/abs/2112.13764
Autor:
Nuske, Heather J.1 heather.nuske@pennmedicine.upenn.edu, Young, Amanda V.1,2, Khan, Farzana Y.1,3, Palermo, Emma H.1, Ajanaku, Bukola1, Pellecchia, Melanie1, Vivanti, Giacomo4, Mazefsky, Carla A.5, Brookman-Frazee, Lauren6, McPartland, James C.7, Goodwin, Matthew S.8, Mandell, David S.1
Publikováno v:
European Child & Adolescent Psychiatry. Jun2024, Vol. 33 Issue 6, p1963-1976. 14p.
Autor:
Warzel, Simone, Young, Amanda
We study the low-energy properties of a truncated Haldane pseudopotential with maximal half filling, which describes a strongly correlated system of spinless bosons in a cylinder geometry. For this Hamiltonian with either open or periodic boundary co
Externí odkaz:
http://arxiv.org/abs/2108.10794
We prove that uniformly small short-range perturbations do not close the bulk gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topological quantum order condition. In contrast with earlier results, we
Externí odkaz:
http://arxiv.org/abs/2102.07209