Divide and conquer method for proving gaps of frustration free Hamiltonians

DOI10.1088/1742-5468/aaa793zbMath1459.82012arXiv1705.09491OpenAlexW3103408224WikidataQ59742200 ScholiaQ59742200MaRDI QIDQ4964496

Angelo Lucia, Michael J. Kastoryano

Publication date: 2 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09491

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (10)

Thermalization in Kitaev’s quantum double models via tensor network techniques ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems ⋮ Locality estimates for complex time evolution in 1D ⋮ Spectral gaps of frustration-free spin systems with boundary ⋮ A class of two-dimensional AKLT models with a gap ⋮ Finite-size criteria for spectral gaps in 𝐷-dimensional quantum spin systems ⋮ Locality at the boundary implies gap in the bulk for 2D PEPS ⋮ Spectral gaps for the two-species product vacua and boundary states models on the \(d\)-dimensional lattice ⋮ Correlation length in random MPS and PEPS ⋮ Union bound for quantum information processing

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