Chao Zhang

The Penrose tiling, assembled from two types of tiles, covers a plane without a repeating pattern — a mathematical marvel discovered by Roger Penrose that has found physical embodiment in the quantum world. Researchers modeled a chain of particles interacting according to a rule reminiscent of Fibonacci numbers and the golden ratio.

For the quantum internet, we need to learn how to hold light — much like mail is sorted at intermediate nodes. The technology is based on a thin crystal plate doped with europium ions, a rare-earth element that, incidentally, is responsible for the red glow of smartphone screens.

Dancers hold hands and move in perfect sync. In an excitonic insulator, electrons and holes form bound pairs that condense into a single quantum state, like dance partners who never miss a step. But what happens when one of them stumbles?

Electrons in a conductor usually behave like a gas: they dart around chaotically, collide, and don't hold formation. But if you spread them far apart and cool them down, their mutual repulsion can force them into place, like attendees in an overcrowded hall who settle into every other seat.

Inside cold clouds of gas and dust where new stars ignite, astronomers have spotted unexpectedly delicate structures. The ALMA telescope, working in the millimeter range, has revealed more than 323 ultra-thin dust filaments within 121 massive clumps.

Water in a pot, when heated, doesn't boil: it turns into ice. That's roughly how ultracold atoms behave in an optical lattice — a light-based crystalline grid that holds atoms in place. Scientists simulated this system on a computer to understand how order changes as temperature rises.

In cold clouds of interstellar gas, long, dense filaments stretch out. Inside them, like overcrowded incubators, future stars are maturing. For a long time, it was thought that within such filaments, everything was governed by gravity: matter smoothly flows toward the centers, where density increases and eventually a star ignites.

A tiny coin circles a heavy bowling ball. The coin is a small black hole or a neutron star, and the ball is a supermassive black hole at the center of a galaxy.

A storm in the upper atmosphere lasts a few millionths of a second. A cosmic ray, a proton or a helium nucleus, strikes air molecules, sending a swarm of particles downward. Most of them stay together, but occasionally one particle gains so much energy that it surges ahead.