A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization I

Abstract

We introduce a class of gapped Hamiltonians on quantum spin chains, which allows asymmetric edge ground states. This class is an asymmetric generalization of the class of Hamiltonians in [FNS]. It can be characterized by five qualitative physical properties of ground state structures. In this Part I, we introduce the models and investigate their properties.

Final version

References in corpus (4)

• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• $C^1$-classification of gapped parent Hamiltonians of quantum spin chains
• Approximating the ground state of gapped quantum spin systems
• Connected components of irreducible maps and 1D quantum phases

Cited by in corpus (16)

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• The complete set of infinite volume ground states for Kitaev's abelian quantum double models
• On the stability of charges in infinite quantum spin systems
• Stability of Gapped Ground State Phases of Spins and Fermions in One Dimension
• Spectral Gap and Edge Excitations of $d$-dimensional PVBS models on half-spaces
• A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization II
• Computing spectral bounds of the Heisenberg ferromagnet from geometric considerations
• A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization III
• The Asymmetric Valence-Bond-Solid States in Quantum Spin Chains: The Difference Between Odd and Even Spins
• Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
• Topologically ordered states in infinite quantum spin systems
• C^1-Classification of gapped parent Hamiltonians of quantum spin chains with local symmetry
• Interrelations among frustration-free models via Witten's conjugation