Local iterative block-diagonalization of gapped Hamiltonians: A new tool in singular perturbation theory
From MaRDI portal
Publication:5886284
DOI10.1063/5.0084552OpenAlexW3043802255WikidataQ114103379 ScholiaQ114103379MaRDI QIDQ5886284
Jürg Fröhlich, Stefano Rossi, Simone Del Vecchio, Alessandro Pizzo
Publication date: 31 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07667
Related Items (3)
Preface to the Special Collection in Honor of Freeman Dyson ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems ⋮ Block-diagonalization of infinite-volume lattice Hamiltonians with unbounded interactions
Cites Work
- On many-body localization for quantum spin chains
- Stability of frustration-free Hamiltonians
- An exponentially local spectral flow for possibly non-self-adjoint perturbations of non-interacting quantum spins, inspired by KAM theory
- A short proof of stability of topological order under local perturbations
- Ground states in relatively bounded quantum perturbations of classical lattice systems
- Mott transition in lattice boson models
- Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
- Low-temperature phase diagrams of quantum lattice systems. I: Stability for quantum perturbations of classical systems with finitely-many ground states.
- Persistence of exponential decay and spectral gaps for interacting fermions
- Effective interactions due to quantum fluctuations
- On gapped phases with a continuous symmetry and boundary operators
- Block-diagonalization of infinite-volume lattice Hamiltonians with unbounded interactions
- 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
- Lie-Schwinger block-diagonalization and gapped quantum chains: analyticity of the ground-state energy
- Lie-Schwinger block-diagonalization and gapped quantum chains with unbounded interactions
- 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
- 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
- Multi-scale Jacobi method for Anderson localization
- Unnamed Item
This page was built for publication: Local iterative block-diagonalization of gapped Hamiltonians: A new tool in singular perturbation theory