Locality Estimates for Quantum Spin Systems

Lieb, E.H., Schultz, T., and Mattis, D.: Two soluble models of an antiferromagnetic chain, Ann. Phys. 16

1961

Earlier work this paper cites.

Araki, H., Hepp, K., Ruelle, D.: Asymptotic behaviour of Wightman functions, Helv. Phys. Acta 35

1962

Earlier work this paper cites.

Lieb, E.H. and Mattis, D.: Ordering energy levels in interacting spin chains, Journ. Math. Phys. 3

1962

Earlier work this paper cites.

Ruelle, D.: On the asymptotic condition in quantum field theory, Helv. Phys. Acta 35

1962

Earlier work this paper cites.

Araki, H.: Gibbs States of a One Dimensional Quantum Lattice

1969

Earlier work this paper cites.

Lieb, E.H. and Robinson, D.W.: The Finite Group Velocity of Quantum Spin Systems, Commun. Math. Phys. 28

1972

Earlier work this paper cites.

Haldane, F. D. M.: Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

1983

Earlier work this paper cites.

Fredenhagen, K.: A Remark on the Cluster Theorem

1985

Earlier work this paper cites.

Liggett, T.M.: Interacting Particle Systems, Springer Verlag 1985

1985

Cited alongside, same era.

Affleck, I. and Lieb, E.: A proof of part of Haldane’s conjecture on quantum spin chains, Lett. Math. Phys. 12

1986

Cited alongside, same era.

Wreszinski, W.: Charges and Symmmetries in Quantum Theories without Locality

1987

Cited alongside, same era.

Haag, R.: Local Quantum Physics

1992

Cited alongside, same era.

Simon, B.: The Statistical Mechanics of Lattice Gases, Volume I

1993

Cited alongside, same era.

Nachtergaele, B.: The spectral gap for some quantum spin chains with discrete symmetry breaking, Commun. Math. Phys. 175

1996

Cited alongside, same era.

Hastings, M.B. and Wen, X.-G.: Quasi-adiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance, Phys. Rev. B 72

2005

Later among the works it cites.

Bravyi, S. and Hastings, M.B. and Verstraete, F.: Lieb-Robinson bounds and the generation of correlations and topological quantum order

2006

Later among the works it cites.

Eisert, J. and Osborne, T.J.: General entanglement scaling laws from time evolution

2006

Later among the works it cites.

Hastings, M.B. and Koma, T.: Spectral Gap and Exponential Decay of Correlations, Commun. Math. Phys. 265

2006

Later among the works it cites.

Nachtergaele, B., Ogata, Y., and Sims, R.: Propagation of Correlations in Quantum Lattice Systems, J. Stat. Phys. 124

2006

Later among the works it cites.