Professor of Physics, Department of Physics, Princeton University
For uncovering profound connections between quantum information and gravitational geometry and for establishing a foundation for the systematic classification of topological phases of matter
and many others
Quantum entanglement refers to a phenomenon in which the quantum states of subatomic particles are interconnected in that they cannot be described independently of one another even if they are separated in space by an arbitrary distance. In 2006, Dr. Ryu and Tadashi Takayanagi (now Professor at the Yukawa Institute for Theoretical Physics, Kyoto University) demonstrated that the magnitude of entanglement calculated in field theory coincides with the area of a minimal surface in gravitational theory. This relationship is known as the Ryu-Takayanagi formula. Their work raised the foundational question of whether spacetime geometry itself might emerge from quantum entanglement. Thus, it has fundamentally transformed the trajectory of research on quantum gravity by sparking this new line of exploration.
Furthermore, between 2008 and 2010, in collaboration with Andreas Schnyder (now Group Leader at Max Planck Institute), Akira Furusaki (now Group Director at RIKEN), and Andreas Ludwig (Professor at the University of California), Dr. Ryu demonstrated that topological insulators and superconductors can be systematically categorized into ten symmetry classes based on their symmetry and dimensionality. This classification scheme is widely known as the “topological periodic table,” and it has been widely adopted as a theoretical blueprint to predict previously undiscovered phases of matter.
Notes:
Ryu-Takayanagi formula: This formula posits a formula that relates the magnitude of quantum entanglement (i.e., entanglement entropy) to the area of a minimal surface in gravitational theory.
Topological Periodic Table: This classification categorizes topological insulators and superconductors into ten distinct symmetry classes according to their symmetry and spatial dimensionality.