A hierarchy of SDPs yields lower bounds on spectral gaps of frustration-free Hamiltonians that encompass and improve upon Knabe's bound on 1D spin chains.
Anshu, Improved local spectral gap thresholds for lat- tices of finite dimension, Physical Review B 101, 165104 (2020), arXiv:1909.01516 [cond-mat, physics:quant-ph]
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
quant-ph 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems
A hierarchy of SDPs yields lower bounds on spectral gaps of frustration-free Hamiltonians that encompass and improve upon Knabe's bound on 1D spin chains.