Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-02-11
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 5 figures, continuation of cond-mat/0409396
Scientific paper
We consider the analytically solvable model of a Gaussian pulse tunneling through a transmission resonance with a general Fano characteristic. It is demonstrated that the transmitted pulse contains enough information to determine uniquely all parameters defining the Fano resonance. This is in contrast to the measurement of the static conductance. Our analytical model is in agreement with numerical data published recently for the limit of a Breit-Wigner resonance. We identify two opposite pulse propagation regimes: if the resonance is broad compared to the energetic width of the incident Gaussian pulse a weakly deformed and slightly delayed transmitted Gaussian pulse is found. In the opposite limit of a narrow resonance the dying out of the transmitted pulse is dominated by the slow exponential decay characteristic of a quasi-bound state with a long life time. In this regime we find characteristic interference oscillations.
Skalozub Vladimir
Wulf Ulrich
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