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Semiclassical wave packet tunneling in real-time
Institution:1. Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang 110016, China;2. School of Material Science and Engineering, University of Science and Technology of China, 72 Wenhua Road, Shenyang 110016, China;1. Sackler Faculty of Medicine, Nursing Department, Tel Aviv University, Tel Aviv, Israel;2. Sackler Faculty of Medicine, Sagol School of Neuroscience, Tel Aviv University, Tel Aviv, Israel
Abstract:Quantum mechanical real-time tunneling through general scattering potentials is studied in the semiclassical limit. It is shown that the exact path integral of the real-time propagator is dominated in the long time sector by quasi-stationary fluctuations associated with caustics. This leads to an extended semiclassical propagation scheme for wave packet dynamics which accurately describes deep tunneling through static and, for the first time, driven barrier potentials.
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