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Quantum Recurrences in Driven Power-law Potentials

By Shahid Iqbal and Farhan Saif


The recurrence phenomena of an initially well localized wave packet are studied in periodically driven power-law potentials. For our general study we divide the potentials in two kinds, namely tightly binding and loosely binding potentials. In the presence of an external periodically modulating force, these potentials may exhibit classical and quantum chaos. The dynamics of a quantum wave packet in the modulated potentials displays recurrences at various time scales. We develop general analytical relations for these times and discuss their parametric dependence. In one degree of freedom systems, wave packet dynamics manifests quantum recurrences [1, 2, 3, 4, 5, 6, 7, 8, 9]. An initially well-localized wave packet in a bounded system follows classical evolution in its short time dynamics and displays reconstruction after a classical period. However, after many classica

Year: 2006
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