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math-ph2019★ 7 cited
Entanglement bounds in the XXZ quantum spin chain
Houssam Abdul-Rahman, Christoph Fischbacher, Günter Stolz
We consider the XXZ spin chain, characterized by an anisotropy parameter , and normalized such that the ground state energy is and the ground state given by the all spins…
math-ph2019★ 24 cited
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…