Quantum-Classical Correspondence and Quantum Chaos

George M. Zaslavsky

Mikito Toda, Satoshi Adachi, Kensuke S. Ikeda

In the present paper we review our study on the dynamics of quantum chaos with particular emphasis on the problem of dynamical quantum-classical correspondence.

F. T. Arecchi

Kei Inoue, Masanori Ohya, Igor Vasil'evich Volovich

We study the chaotic behavior and the quantum-classical correspondence for the Baker’s map. Correspondence between quantum and classical expectation values is investigated and it is numerically shown that it is lost at the logarithmic timescale. The quantum chaos degree is computed and it is demonstrated that it describes the chaotic features of the model. The correspondence between classical and quantum chaos degrees is considered.

Sandro Wimberger

Satoshi Adachi, Mikito Toda, Kensuke S. Ikeda

Quantum-classical correspondence in many-dimensional quantum chaos is investigated by use of a coupled quantum kicked-rotors model. Even when the number of rotors is only two, results obtained are drastically different from those for a single-rotor system; that is, in the semiclassical limit the coupled system restores the essential features of classical chaos under appropriate conditions. In particular, the time-reversal experiment reveals that the classical chaotic mixing is recovered almost entirely; however, the recovered mixing is "conditional" in the sense that there exists a threshold for the recovery.