(ChemicalMarketNews) Scientists at Princeton University, directed by electrical engineering Professor Andrew Houck, constructed a digital array on a microchip that resembles particle interactions in a hyperbolic aircraft, a geometric surface in which area curves away from itself at each point.
The centimeter-sized chip etched with a circuit of superconducting resonators that present paths for microwave photons to move and interact — the resonators on the chip organized in a lattice sample of heptagons, or seven-sided polygons. The construction exists on a flat aircraft but simulates the bizarre geometry of a hyperbolic plane.
To simulate the effect of compressing hyperbolic house onto a flat floor, the researchers used a particular kind of resonator called a coplanar waveguide resonator. When microwave photons move by this resonator, they behave in the identical method whether or not their path is straight or meandering. The meandering construction of the resonators offers flexibility to “squish and scrunch” the sides of the heptagons to create a low tiling sample. This analysis might eventually assist the design of new materials. The material is also helpful for understanding advanced webs of relationships in mathematical graph concept and communication networks.