60 citations · 394 across the 23 of their papers we have counts for
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Deformations of the Boundary Theory of the Square Lattice AKLT Model
John Martyn, Kohtaro Kato, Angelo Lucia
The 1D AKLT model is a paradigm of antiferromagnetism, and its ground state exhibits symmetry-protected topological order. On a 2D lattice, the AKLT model has recently gained atten…
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
Ivan Bardet, Angela Capel, Angelo Lucia +2
The mixing time of Markovian dissipative evolutions of open quantum many-body systems can be bounded using optimal constants of certain quantum functional inequalities, such as the…
A class of two-dimensional AKLT models with a gap
Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia +2
The AKLT spin chain is the prototypical example of a frustration-free quantum spin system with a spectral gap above its ground state. Affleck, Kennedy, Lieb, and Tasaki also conjec…
Recursion relations for chromatic coefficients for graphs and hypergraphs
Bergfinnur Durhuus, Angelo Lucia
We establish a set of recursion relations for the coefficients in the chromatic polynomial of a graph or a hypergraph. As an application we provide a generalization of Whitney's br…