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 …

Topological photonics provides a new degree of freedom to robustly control electromagnetic
fields. To date, most of established topological states in photonics have been employed in …

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

Fractional Chern insulators (FCIs) have attracted intensive attention for the realization of
fractional quantum Hall states in the absence of an external magnetic field. Most FCIs have …

We propose a new example of discrete holography that provides a new step towards
establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is …

In view of making progress towards establishing a holographic duality for theories defined
on a discrete tiling of the hyperbolic plane, we consider a recently proposed boundary spin …

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