418 citations · 859 across the 13 of their papers we have counts for
Showing 2006 · math-phShow all
3 papers · 2 filters
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…