Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems

Understand

The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum signature of classical chaos.

• The growth rate is expected to coincide with the classical Lyapunov exponent.
• This quantum-classical correspondence has been corroborated for the kicked rotor and the stadium billiard, which are one-body chaotic systems.
• The conjecture has not yet been validated for realistic systems with interactions.