Quantum information geometry of driven CFTs

by Jani Kastikainen (University of Würzburg)

Wednesday 20 Dec 2023, 16:00 → 17:00 Europe/Berlin

Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. In this talk, I study driven two-dimensional conformal field theories from spacetime and quantum information geometric points of view. First, I show that a large class of driving protocols can be realized by coupling the CFT to a time-dependent background spacetime metric. I will describe the coupling in the path integral formulation and show how the driving generates unitary representations of the Virasoro group. This leads to a universal class of CFT states, dubbed Virasoro states, for which I present a quantum information geometry based on relative entropy. If time permits, I will use the information geometry to characterize CFTs periodically driven by the Mobius group. The talk is based on arXiv:2306.00099.