Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge

Understand

A main feature of a chaotic quantum system is a rigid spectrum where the levels do not cross.

• We discuss how the presence of level repulsion in lattice many-body quantum systems can be detected from the analysis of their time evolution instead of their energy spectra.
• This approach is advantageous to experiments that deal with dynamics, but have limited or no direct access to spectroscopy.
• Dynamical manifestations of avoided crossings occur at long times.