Time-resolved dynamics of electron wave packets in chaotic and regular quantum billiards with leads

Details Time-resolved dynamics of electron wave packets in chaotic and regular quantum billiards with leads Time-resolved dynamics of electron wave packets in chaotic and regular quantum billiards with leads

2002-06-10

arxiv.org/abs/cond-mat/0206143v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.67.085320

We perform numerical studies of the wave packet propagation through open quantum billiards whose classical counterparts exhibit regular and chaotic dynamics. We show that for t less or similar to tau (tau being the Heisenberg time), the features in the transmitted and reflected currents are directly related to specific classical trajectories connecting the billiard leads. In contrast, the long-time asymptotics of the wave packet dynamics is qualitatively different for classical and quantum billiards. In particularly, the decay of the quantum system obeys a power law that depends on the number of decay channels, and is not sensitive to the nature of classical dynamics (chaotic or regular).

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