Out-of-time-ordered correlator in the quantum bakers map and truncated unitary matrices

Understand

The out-of-time-ordered correlator (OTOC) is a measure of quantum chaos that is being vigorously investigated.

• Analytically accessible simple models that have long been studied in other contexts could provide insights into such measures.
• This paper investigates the OTOC in the quantum bakers map which is the quantum version of a simple and exactly solvable model of deterministic chaos that caricatures the action of kneading dough.
• Exact solutions based on the semiquantum approximation are derived that tracks very well the correlators till the Ehrenfest time.