{ "id": "cond-mat/0409396", "version": "v1", "published": "2004-09-15T14:13:52.000Z", "updated": "2004-09-15T14:13:52.000Z", "title": "Pulse Propagation in Resonant Tunneling", "authors": [ "Ulrich Wulf", "V. V. Skalozub" ], "comment": "6 pages, 4 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We consider the analytically solvable model of a Gaussian pulse tunneling through a transmission resonance with a Breit-Wigner characteristic. The solution allows for the identification of 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 (decaying state). We discuss the limitation of the achievable pulse transfer rate resulting from the slow decay. Finally, it is demonstrated that for narrow resonances a small second component is superimposed to the exponential decay which leads to characteristic interference oscillations.", "revisions": [ { "version": "v1", "updated": "2004-09-15T14:13:52.000Z" } ], "analyses": { "keywords": [ "resonant tunneling", "pulse transfer rate resulting", "delayed transmitted gaussian pulse", "slow exponential decay characteristic", "narrow resonance" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }