Speaker
Description
Quantum metric, which defines a distance on Hilbert space, has become an important notion in describing many-body physics. While quantum-metric effects in electric currents have been actively discussed in condensed matter physics, the fundamental aspects of kinetic theory incorporating quantum metric remain largely unexplored. In this talk, I will show general features of such a kinetic theory: quantum metric modifies Liouville’s theorem, and accordingly the conservation law as well as the very definition of physical currents. I will also discuss an application to chiral fermions, which yields the transport coefficients consistent with those derived from a quantum field theory. This formulation paves the way to potential applications of the quantum metric in high-energy physics and astrophysics.