Computational Study of Many-Dimensional Quantum Energy Flow: From Action Diffusion to Localization

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Abstract
Many-dimensional quantum calculations of energy flow are presented, revealing dynamical scaling in agreement with theoretical predictions. A model system of coupled anharmonic oscillators which undergoes a localization transition as a function of coupling strength was studied. For strong coupling, action diffusion is clearly seen. For near critical coupling, the average survival probability varies inversely with time but shows no simple relationship to the average extent of the spread of the wave function in action space.

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