Uniqueness of the ground state in weak perturbations of non-interacting gapped quantum lattice systems
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Publication:2575530
DOI10.1007/s10955-004-8780-xzbMath1130.82007OpenAlexW2021267400MaRDI QIDQ2575530
Publication date: 12 December 2005
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-004-8780-x
Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (9)
On adiabatic theory for extended fermionic lattice systems ⋮ Ground states in relatively bounded quantum perturbations of classical lattice systems ⋮ Local stability of ground states in locally gapped and weakly interacting quantum spin systems ⋮ An exponentially local spectral flow for possibly non-self-adjoint perturbations of non-interacting quantum spins, inspired by KAM theory ⋮ Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement ⋮ Stability of the uniqueness regime for ferromagnetic Glauber dynamics under non-reversible perturbations ⋮ Local perturbations perturb—exponentially–locally ⋮ Perturbation theory for parent Hamiltonians of matrix product states ⋮ Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
Cites Work
- Uniqueness of the translationally invariant ground state in quantum spin systems
- Unitary dressing transformations and exponential decay below threshold for quantum spin systems. III, IV
- Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
- Expansions for one quasiparticle states in spin 1/2 systems
- A link between quantum and classical Potts models
- Perturbations of ground states in weakly interacting quantum spin systems
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