Hyperbolic lattices in circuit quantum electrodynamics
Sign Up to like & getrecommendations! Published in 2019 at "Nature"
DOI: 10.1038/s41586-019-1348-3
Abstract: After two decades of development, cavity quantum electrodynamics with superconducting circuits has emerged as a rich platform for quantum computation and simulation. Lattices of coplanar waveguide resonators constitute artificial materials for microwave photons, in which interactions… read more here.
Keywords: quantum; lattices circuit; quantum electrodynamics; electrodynamics ... See more keywords
Automorphic Bloch theorems for hyperbolic lattices
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2116869119
Abstract: Significance Recent experiments in circuit quantum electrodynamics and electric circuit networks have demonstrated the coherent propagation of wave-like excitations on hyperbolic lattices. The negative curvature of space that underlies such lattices invalidates the familiar Bloch… read more here.
Keywords: bloch; theorems hyperbolic; hyperbolic lattices; physics ... See more keywords
Percolation thresholds in hyperbolic lattices.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.042116
Abstract: We use invasion percolation to compute numerical values for bond and site percolation thresholds p_{c} (existence of an infinite cluster) and p_{u} (uniqueness of the infinite cluster) of tesselations {P,Q} of the hyperbolic plane, where… read more here.
Keywords: percolation thresholds; hyperbolic lattices; percolation; thresholds hyperbolic ... See more keywords
Topological Hyperbolic Lattices.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.053901
Abstract: Non-Euclidean geometry, discovered by negating Euclid's parallel postulate, has been of considerable interest in mathematics and related fields for the description of geographical coordinates, Internet infrastructures, and the general theory of relativity. Notably, an infinite… read more here.
Keywords: non euclidean; geometry; topological hyperbolic; hyperbolic lattices ... See more keywords