Quantum Lyapunov exponents and complex spacing ratios: two measures of Dissipative Quantum Chaos

Understand

The agenda of Dissipative Quantum Chaos is to create a toolbox which would allow us to categorize open quantum systems into "chaotic" and "regular" ones.

• Two approaches to this categorization have been proposed recently.
• One of them is based on spectral properties of generators of open quantum evolution.
• The other one utilizes the concept of Lyapunov exponents to analyze quantum trajectories obtained by unraveling this evolution.