A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the
evolution of systems from integrability to chaos. For this purpose we investigate the …

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

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 …

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 …

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

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 …