Fundamental quantum model recreated from nanographenes

The smallest unit of information in a computer is the bit: on or off, 1 or 0. Today, the world's entire computing power is built on the combination and interconnection of countless ones and zeros. Quantum computers have their own version of the bit: the qubit. It, too, has two basic states. The main difference: Quantum effects allow a superposition of the two states, so that the qubit is not either 1 or 0, but both at the same time. With different proportions of 0 and 1, the qubit can theoretically assume an infinite number of states.

This ambiguity should give quantum computers true “superpowers”. At least in theory, quantum-based computers can perform calculations in fractions of a second that stump today's best supercomputers. However, quantum computing is not yet fully developed. One of the biggest challenges is linking the qubits – since one single (qu)bit is not much of a computer.

One way to realize the 0 and the 1 of the qubit is via the alignment of the so-called electron spin. The spin is a fundamental quantum mechanical property of electrons and other particles, a kind of torque that, put simply, can point “up” (1) or “down” (0). When two or more spins are quantum-mechanically linked, they influence each other's states: Change the orientation of one, and it will also change for all the others. This is therefore a good way to make qubits “talk” to each other. However, like so much in quantum physics, this “language”, i.e. the interaction between the spins, is enormously complex. Although it can be described mathematically, the relevant equations can hardly be solved exactly even for relatively simple chains of a just few spins. Not exactly the best conditions for putting theory into practice...

Researchers at Empa's nanotech@surfaces laboratory have now developed a method that allows many spins to “talk” to each other in a controlled manner – and that also enables the researchers to “listen” to them, i.e. to understand their interactions. Together with scientists from the International Iberian Nanotechnology Laboratory and the Technical University of Dresden, they were able to precisely create an archetypal chain of electron spins and measure its properties in detail. Their results have now been published in the renowned journal Nature Nanotechnology.

The theory behind the chain is familiar to all physics students: Take a linear chain of spins in which each spin interacts strongly with one of its neighbors and weakly with the other. This so-called one-dimensional alternating Heisenberg model was described almost 100 years ago by physicist and later Nobel Prize laureate Werner Heisenberg, one of the founders of quantum mechanics. Although there are materials in nature that contain such spin chains, it has not yet been possible to deliberately incorporate the chains into a material. “Real materials are always much more complex than a theoretical model,” explains Roman Fasel, head of Empa's nanotech@surfaces laboratory and co-author of the study.

The researchers have now linked the goblets on a gold surface to form chains. The two spins within a molecule are weakly linked, while the spins from molecule to molecule are strongly linked – a perfect realization of the alternating Heisenberg chain. The researchers were able to precisely manipulate the length of the chains, selectively switch individual spins on and off and “flip” them from one state to another, allowing them to investigate the complex physics of this novel quantum material in great detail.

To be at the forefront of applied quantum physics, theoretical and experimental scientists from different disciplines need to work together. Chemists at Dresden University of Technology provided Empa researchers with the starting molecules for their synthesis of Clar's Goblets. And researchers from the International Iberian Nanotechnology Laboratory in Portugal contributed their theoretical expertise to the project. The theory needed for such breakthroughs is not (just) what you find in physics textbooks, Fasel emphasizes, but a sophisticated transfer between the quantum physics model and the experimental measurements.