Perturbation theory for parent Hamiltonians of matrix product states

DOI10.1007/s10955-015-1204-2zbMath1320.82026arXiv1402.4175OpenAlexW3101745980WikidataQ114225371 ScholiaQ114225371MaRDI QIDQ2350374

Michael M. Wolf, Oleg Szehr

Publication date: 29 June 2015

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4175

zbMATH Keywords

quantum Markov chainmatrix product statesparent Hamiltonian modelstability of spectral gap

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (9)

The adiabatic theorem and linear response theory for extended quantum systems ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems ⋮ Product vacua and boundary state models in \(d\)-dimensions ⋮ An exponentially local spectral flow for possibly non-self-adjoint perturbations of non-interacting quantum spins, inspired by KAM theory ⋮ Stability of gapped ground state phases of spins and fermions in one dimension ⋮ Connected components of irreducible maps and 1D quantum phases ⋮ Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms ⋮ Stability estimates of Markov semigroups on abstract states spaces ⋮ Quasi-locality bounds for quantum lattice systems. II: perturbations of frustration-free spin models with gapped ground states

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