Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics

DOI10.1007/s00220-019-03645-8zbMath1481.81007arXiv1902.02794OpenAlexW3100677779WikidataQ126566345 ScholiaQ126566345MaRDI QIDQ2187283

Mattias Fitzpatrick, Andrew A. Houck, Alicia J. Kollár, Peter C. Sarnak

Publication date: 2 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02794

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Structure theory of lattices (06B05) Graph operations (line graphs, products, etc.) (05C76) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (11)

Bose–Einstein condensation on hyperbolic spaces ⋮ Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics ⋮ Gap sets for the spectra of cubic graphs ⋮ Spectra of infinite graphs via freeness with amalgamation ⋮ Flat bands of periodic graphs ⋮ Petals and books: The largest Laplacian spectral gap from 1 ⋮ Algebraic properties of the Fermi variety for periodic graph operators ⋮ The quantum sine-Gordon model with quantum circuits ⋮ Quantum simulation scheme of two-dimensional \textit{xy}-model Hamiltonian with controllable coupling ⋮ Free fermions behind the disguise ⋮ A local test for global extrema in the dispersion relation of a periodic graph

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