Quantum Phases of Matter


Visualization of a a nematic quantum Hall liquid on the surface of bismuth (Yazdani group)

Quantum information provides a powerful lens on condensed matter physics – the study of the states of matter that make up our universe. The past fifteen years have heralded a revolution in the field through the discovery of an extremely rich landscape of new “topological” states of matter with remarkable properties with no classical counterpart, such as long range quantum entanglement, quantum fluctuations, and robust boundary states whose properties depend on the topology of the bulk wave functions. The field of quantum materials has expanded to include topological insulators, semi-metals, quantum Hall systems, spin liquids, two-dimensional quantum materials, and potential experimental platforms for realizing Majorana fermions. These advances have led to the quest for new “non-abelian” phases with intrinsic quantum error correcting properties, which over the long-term could provide a potential platform for building fault-tolerant quantum computers. The resulting insights have the potential to have a major impact in multiple areas of science and technology, ranging from the design of new superconductors operating at higher temperatures to the development of novel quantum devices for quantum sensing, photonics, and computing applications.