Recent progress in studies of holographic dualities, originally motivated by insights from
string theory, has led to a confluence with concepts and techniques from quantum …

The Laplace operator encodes the behavior of physical systems at vastly different scales,
describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input …

Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively
hop on a discrete tessellation of two-dimensional (2D) hyperbolic space, a non-Euclidean …

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

Hyperbolic lattices are a revolutionary platform for tabletop simulations of holography and
quantum physics in curved space and facilitate efficient quantum error correcting codes …

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

Motivated by recent realizations of hyperbolic lattices in superconducting waveguides and
electric circuits, we compute the Hofstadter butterfly on regular hyperbolic tilings. Utilizing …

Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum
simulation and computation. In recent groundbreaking experiments, the immense flexibility …

We show how quantum many-body systems on hyperbolic lattices with nearest-neighbor
hopping and local interactions can be mapped onto quantum field theories in continuous …

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