Positive quantum Lyapunov exponents in experimental systems with a regular classical limit

Understand

Quantum chaos refers to signatures of classical chaos found in the quantum domain.

• Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos.
• The quantum-classical correspondence between the OTOC exponential growth and chaos in the classical limit has indeed been corroborated theoretically for some systems and there are several projects to do the same experimentally.
• The Dicke model, in particular, which has a regular and a chaotic regime, is currently under intense investigation by experiments with trapped ions.