Quantum and classical phase space evolution: a local measure of delocalization

Physics

Scientific paper

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Scientific paper

The rapid delocalization of chaotic Hamiltonian dynamics can be described by a local measure on phase space, the microscopic heterogeneity, both for classical and quantum systems. The properties of this new measure are discussed and studied numerically for a one-dimensional nonlinearly driven oscillator. An intricate and highly structured phase space dependence is observed. The correspondence between the classical and quantum evolution of the delocalization is investigated.

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