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Dynamics of a quantum wave emitted by a decaying and evanescent point source |
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| Affiliation: | 1. Centro de Física de Materiales, Centro Mixto CSIC-UPV/EHU, Paseo Manuel de Lardizabal 5, E-20018 Donostia-San Sebastián, Spain;2. Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 4, E-20018 Donostia-San Sebastián, Spain;3. IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain;4. Departamento de Química-Física, UPV/EHU, Apartado 644, 48080 Bilbao, Spain;5. Department of Physics, Shanghai University, 200444 Shanghai, People''s Republic of China;1. Institute of Physics, National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine;2. Research Physico-Technical Institute, State University of Nizhni Novgorod, 603950 Nizhni Novgorod, Russia;1. Institut de Physique et de Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS UMR 7504, 23 rue du Loess, BP 43, F-67034 Strasbourg Cedex 2, France;2. Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, Albertstr. 19, D-79104 Freiburg, Germany |
| Abstract: | We put forward a model that describes a decaying and evanescent point source of non-interacting quantum waves in 1D. This point-source assumption allows for a simple description that captures the essential aspects of the dynamics of a wave traveling through a classically forbidden region without the need to specify the details of the inner region. The dynamics of the resulting wave is examined and several characteristic times are identified. One of them generalizes the tunneling time-scale introduced by Büttiker and Landauer and it characterizes the arrival of the maximum of the wave function. Diffraction in time and deviations from exponential decay are also studied. Here we show that there exists an optimal injection frequency and detection point for the observation of these two quantum phenomena. |
| Keywords: | Point source Diffraction in time Non-exponential decay 03.65.Xp |
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