Göttingen 2025 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 7: Quantum Field Theory I and Conformal Field Theory
MP 7.2: Talk
Wednesday, April 2, 2025, 16:45–17:05, ZHG001
Driven conformal field theory and circuit complexity — •Jani Kastikainen1, Johanna Erdmenger1, and Tim Schuhmann1,2 — 1Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany — 2Department of Physics and Astronomy, Ghent University, 9000 Ghent, Belgium
Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. In this talk, I study driven two-dimensional conformal field theories (CFT) from spacetime and quantum information geometric points of view. I show that a large class of quantum circuits can be realized by coupling the CFT to time-dependent background fields. In particular, unitary time-evolution of the CFT in a background metric is equivalent to a quantum circuit generated by the Virasoro algebra, known as a Virasoro circuit. Similarly, turning on a source for a primary operator deforms the Virasoro circuit in a non-trivial way. Complexity of these circuits may be measured using the Fubini-Study circuit complexity whose properties I will analyze.
Keywords: Conformal field theory; Virasoro algebra; Quantum circuits; Quantum information theory