dorsal/arxiv
View SchemaQuantum shutter approach to tunneling time scales with wave packets
| Authors | Norifumi Yamada, Gastón García-Calderón, Jorge Villavicencio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409060 |
| URL | https://arxiv.org/abs/quant-ph/0409060 |
| DOI | 10.1103/PhysRevA.72.012106 |
Abstract
The quantum shutter approach to tunneling time scales (G. Garc\'{\i }a-Calder\'{o}n and A. Rubio, Phys. Rev. A \textbf{55}, 3361 (1997)), which uses a cutoff plane wave as the initial condition, is extended in such a way that a certain type of wave packet can be used as the initial condition. An analytical expression for the time evolved wave function is derived. The time-domain resonance, the peaked structure of the probability density (as the function of time) at the exit of the barrier, originally found with the cutoff plane wave initial condition, is studied with the wave packet initial conditions. It is found that the time-domain resonance is not very sensitive to the width of the packet when the transmission process is in the tunneling regime.
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"abstract": "The quantum shutter approach to tunneling time scales (G. Garc\\\u0027{\\i\n}a-Calder\\\u0027{o}n and A. Rubio, Phys. Rev. A \\textbf{55}, 3361 (1997)), which\nuses a cutoff plane wave as the initial condition, is extended in such a way\nthat a certain type of wave packet can be used as the initial condition. An\nanalytical expression for the time evolved wave function is derived. The\ntime-domain resonance, the peaked structure of the probability density (as the\nfunction of time) at the exit of the barrier, originally found with the cutoff\nplane wave initial condition, is studied with the wave packet initial\nconditions. It is found that the time-domain resonance is not very sensitive to\nthe width of the packet when the transmission process is in the tunneling\nregime.",
"arxiv_id": "quant-ph/0409060",
"authors": [
"Norifumi Yamada",
"Gast\u00f3n Garc\u00eda-Calder\u00f3n",
"Jorge Villavicencio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.012106",
"title": "Quantum shutter approach to tunneling time scales with wave packets",
"url": "https://arxiv.org/abs/quant-ph/0409060"
},
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