Locality Estimates for Quantum Spin Systems

DOI10.1007/978-90-481-2810-5_39zbMath1175.82008arXiv0712.3318OpenAlexW1655273060MaRDI QIDQ3644155

Robert Sims, Bruno Nachtergaele

Publication date: 2 November 2009

Published in: New Trends in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3318

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (19)

Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems ⋮ On transport properties of isotropic quasiperiodic \(XY\) spin chains ⋮ Complex-time singularity and locality estimates for quantum lattice systems ⋮ Decay of determinantal and Pfaffian correlation functionals in one-dimensional lattices ⋮ Stability of frustration-free Hamiltonians ⋮ Energy-time uncertainty relations in quantum measurements ⋮ Dynamical localization in disordered quantum spin systems ⋮ Automorphic equivalence within gapped phases of quantum lattice systems ⋮ Improving the Lieb-Robinson bound for long-range interactions ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization. III ⋮ Spatial decay of Kubo's canonical correlation functions ⋮ Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms ⋮ Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems ⋮ Automorphic equivalence preserves the split property ⋮ Optimized Lie-Trotter-Suzuki decompositions for two and three non-commuting terms ⋮ Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems ⋮ Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems ⋮ Local perturbations perturb—exponentially–locally

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