Benchmarking quantum chaos from geometric complexity

Abstract

Abstract Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator model. In particular, we study the circuit complexity for the unitary time-evolution operator of a non-Gaussian bosonic quantum mechanical system. Our results indicate that, within some limitations, geometric complexity can indeed be a good indicator of quantum chaos.

Keywords

• AdS-CFT Correspondence
• Black Holes in String Theory
• Holography and Hydrodynamics
• Cosmological models