Recovery of Liouville dynamics in quantum mechanical suppressed chaotic behavior

Publisher Website
Google Scholar
Abstract
It is shown that classical Liouville dynamics are recovered from quantum mechanically suppressed chaotic motion by introducing a measurement process into the pure dynamics. Such a process is a quantum non-demolition measurement for information on the phase space probability distribution. A fully quantum dynamical model of such a process, which is based on a von Neumann's (1932) lattice basis, is proposed. The quantum fluctuations of the measurement system releases the host system from a quantum suppression, thereby restoring an entire classical motion in the phase space.