Holographic Quench, Size-Momentum Correspondence and Chaos

A charged particle falling in an AdS space is studied as a holographic model of quench. The evolution of holographic complexity in the conformal field theory following a local quench can be studied using both the “complexity equals volume” (CV) and the “complexity equals action” (CA) conjectures in various models. The connection between operator size in chaotic theories and the bulk momentum of a particle falling into black holes is discussed in Einstein-Born-Infeld-axion AdS black holes.