Spread Complexity Rate as Proper Momentum
High Energy Physics - Theory
2024-11-15 v2 Statistical Mechanics
Quantum Physics
Abstract
We demonstrate a precise relation between the rate of complexity of quantum states excited by local operators in two-dimensional conformal field theories and the radial momentum of particles in 3-dimensional Anti-de Sitter spacetimes. Similar relations have been anticipated based on qualitative models for operator growth. Here, we make this correspondence sharp with two key ingredients: the precise definition of quantum complexity given by the spread complexity of states, and the match of its growth rate to the bulk momentum measured in the proper radial distance coordinate.
Keywords
Cite
@article{arxiv.2410.23334,
title = {Spread Complexity Rate as Proper Momentum},
author = {Pawel Caputa and Bowen Chen and Ross W. McDonald and Joan Simón and Benjamin Strittmatter},
journal= {arXiv preprint arXiv:2410.23334},
year = {2024}
}
Comments
4 pages, 1 figure, 3 appendices, v2 references added