418 citations · 879 across the 14 of their papers we have counts for
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math-ph2006★ 11 cited
Entanglement in Finitely Correlated Spin States
Spyridon Michalakis, Bruno Nachtergaele
We derive bounds for the entanglement of a spin with an (adjacent and non-adjacent) interval of spins in an arbitrary pure finitely correlated state (FCS) on a chain of spins of an…
math-ph2006★ 228 cited
Propagation of Correlations in Quantum Lattice Systems
Bruno Nachtergaele, Yoshiko Ogata, Robert Sims
We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrat…
math-ph2006
Quantum Spin Systems after DLS1978
Bruno Nachtergaele
In their 1978 paper, Dyson, Lieb, and Simon (DLS) proved the existence of Ne'el order at positive temperature for the spin-S Heisenberg antiferromagnet on the d-dimensional hypercu…