Atomic interactions in everyday solids and liquids are so complex that some of the properties of these materials continue to elude physicists' understanding. The mathematical solution to the problems is beyond the capabilities of modern computers. Instead, Princeton University scientists have turned to an unusual branch of geometry.
Researchers led by Andrew Houck, a professor of electrical engineering, have built an electronic array on a microchip that simulates particle interactions in a hyperbolic plane, a geometric surface in which space curves away from itself at each point. A hyperbolic plane is hard to imagine ̵
The research team used superconducting circuits to create a grid that acts as a hyperbolic space. By introducing photons into the lattice, researchers can answer a variety of difficult questions by observing the interactions of photons in simulated hyperbolic space.
and see the complexity emerge, "said Houck, who was the lead author of the paper, which was published on July 4 in the journal Nature .
Alicia Kollár, postdoctoral fellow at the Princeton Center for Complex Materials and According to the lead author of the study, researchers are expected to be able to answer complex questions about quantum interactions that determine the behavior of atomic and subatomic particles.
"The problem is that you want to study a very complicated quantum mechanical material, then this computer modeling is very difficult. We're trying to implement a hardware-level model for nature to do the hard part of the calculation for you, "said Kollár.  59005] The centimeter-sized chip is etched with a circuit of superconducting resonators that move the microwave photon to motion and energy The resonators on the chip are arranged in a grid pattern of heptagons or seven-sided polygons.The structure is in a flat plane, but simulates the unusual geometry of a hyperbolic plane.
Alicia J. Kollar et al., Hyperbolic Lattices in Circuit Quantum Electrodynamics, Nature (2019). DOI: 10.1038 / s41586-019-1348-3
Strange Distortion Geometry Helps Expand Scientific Borders (2019, July 12)
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