Product vacua and boundary state models in \(d\)-dimensions
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Publication:513149
DOI10.1007/s10955-015-1260-7zbMath1360.82017arXiv1410.0398OpenAlexW1876319745MaRDI QIDQ513149
Sven Bachmann, Amanda Young, Eman Hamza, Bruno Nachtergaele
Publication date: 3 March 2017
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.0398
Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)
Related Items (12)
Spectral gap and edge excitations of \(d\)-dimensional PVBS models on half-spaces ⋮ Local disorder, topological ground state degeneracy and entanglement entropy, and discrete anyons ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems ⋮ Spectral gaps of frustration-free spin systems with boundary ⋮ A class of two-dimensional AKLT models with a gap ⋮ Finite-size criteria for spectral gaps in 𝐷-dimensional quantum spin systems ⋮ Spectral gaps for the two-species product vacua and boundary states models on the \(d\)-dimensional lattice ⋮ Divide and conquer method for proving gaps of frustration free Hamiltonians ⋮ Gapped PVBS models for all species numbers and dimensions ⋮ 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 ⋮ Quasi-locality bounds for quantum lattice systems. II: perturbations of frustration-free spin models with gapped ground states
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