We demonstrate how tabletop settings combining hyperbolic lattices with nonlinear
dynamics universally encode aspects of the bulk-boundary correspondence between gravity …

We study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …

Wave functions on periodic lattices are commonly described by Bloch band theory. Besides
Abelian Bloch states labeled by a momentum vector, hyperbolic lattices support non-Abelian …

Particles hop** on a two-dimensional hyperbolic lattice feature unconventional energy
spectra and wave functions that provide a largely uncharted platform for topological phases …

Hyperbolic lattices are a new type of synthetic quantum matter emulated in circuit quantum
electrodynamics and electric-circuit networks, where particles coherently hop on a discrete …

We consider Majorana lattices with two-site interactions consisting of a general function of
the fermion bilinear. The models are exactly solvable in the limit of a large number of on-site …

We establish a connection between the electromagnetic Hall response and band topological
invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless …

Hyperbolic lattices, formed by tessellating the hyperbolic plane with regular polygons,
exhibit a diverse range of exotic physical phenomena beyond conventional Euclidean …

We characterize quantum dynamics in triangular billiards in terms of five properties:(1) the
level spacing ratio (LSR),(2) spectral complexity (SC),(3) Lanczos coefficient variance,(4) …

Discrete geometries in hyperbolic space are of longstanding interest in pure mathematics
and have come to recent attention in holography, quantum information, and condensed …