Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
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Publication:6584565
DOI10.1007/s00023-023-01398-8MaRDI QIDQ6584565
Amanda Young, Angelo Lucia, Alvin Moon
Publication date: 8 August 2024
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Equilibrium statistical mechanics (82Bxx) General mathematical topics and methods in quantum theory (81Qxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)
Cites Work
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- Stability of frustration-free Hamiltonians
- A short proof of stability of topological order under local perturbations
- Automorphic equivalence within gapped phases of quantum lattice systems
- Ground states in relatively bounded quantum perturbations of classical lattice systems
- Lieb-Robinson bounds and the exponential clustering theorem
- Spectral gap and exponential decay of correlations
- On the convergence of cluster expansions for polymer gases
- Cluster expansion for abstract polymer models
- Uniform cluster estimates for lattice models
- A simple inductive approach to the problem of convergence of cluster expansions of polymer models
- The adiabatic theorem and linear response theory for extended quantum systems
- Persistence of exponential decay and spectral gaps for interacting fermions
- A \({{\mathbb{Z}}}_2\)-index of symmetry protected topological phases with reflection symmetry for quantum spin chains
- Quasi-locality bounds for quantum lattice systems. II: perturbations of frustration-free spin models with gapped ground states
- Lie-Schwinger block-diagonalization and gapped quantum chains
- On the stability of charges in infinite quantum spin systems
- Automorphic equivalence within gapped phases in the bulk
- A \(\mathbb{Z}_2\)-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
- Automorphic equivalence preserves the split property
- Stability of local quantum dissipative systems
- \(C^1\)-classification of gapped parent Hamiltonians of quantum spin chains
- Propagation of correlations in quantum lattice systems
- Lie-Schwinger block-diagonalization and gapped quantum chains with unbounded interactions
- Local stability of ground states in locally gapped and weakly interacting quantum spin systems
- Rényi Divergence and Kullback-Leibler Divergence
- On a Certain Class of Operator Algebras
- A class of two-dimensional AKLT models with a gap
- Spectral gap, and split property in quantum spin chains
- A lecture on cluster expansions
- Stability of gapped ground state phases of spins and fermions in one dimension
- An index for two-dimensional SPT states
- An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems
- Undecidability of the Spectral Gap
- 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
- Topological quantum order: Stability under local perturbations
- The stability of free fermi Hamiltonians
- COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
- The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins
- Local iterative block-diagonalization of gapped Hamiltonians: A new tool in singular perturbation theory
- Rigorous index theory for one-dimensional interacting topological insulators
- Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems
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