Early-Time and Late-Time Quantum Chaos

Understand

We show the relation between the Heisenberg averaging of regularized 2-point out-of-time ordered correlation function and the 2-point spectral form factor in bosonic quantum mechanics.

• The generalization to all even-point is also discussed.
• We also do the direct extension from the bosonic quantum mechanics to the non-interacting scalar field theory.
• Finally, we find that the coherent state and large-$N$ approaches are useful in the late-time study.