dorsal/arxiv
View SchemaTransient time-domain resonances and the time scale for tunneling
| Authors | Gastón García-Calderón, Jorge Villavicencio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311175 |
| URL | https://arxiv.org/abs/quant-ph/0311175 |
| DOI | 10.1103/PhysRevA.68.052107 |
| Journal | Physical Review A 68 052107 2003 |
Abstract
Transient {\it time-domain resonances} found recently in time-dependent solutions to Schr\"{o}dinger's equation are used to investigate the issue of the tunneling time in rectangular potential barriers. In general, a time frequency analysis shows that these transients have frequencies above the cutoff frequency associated with the barrier height, and hence correspond to non-tunneling processes. We find, however, a regime characterized by the barrier opacity, where the peak maximum $t_{max}$ of the {\it time-domain resonance} corresponds to under-the-barrier tunneling. We argue that $t_{max}$ represents the relevant tunneling time scale through the classically forbidden region.
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"abstract": "Transient {\\it time-domain resonances} found recently in time-dependent\nsolutions to Schr\\\"{o}dinger\u0027s equation are used to investigate the issue of\nthe tunneling time in rectangular potential barriers. In general, a time\nfrequency analysis shows that these transients have frequencies above the\ncutoff frequency associated with the barrier height, and hence correspond to\nnon-tunneling processes. We find, however, a regime characterized by the\nbarrier opacity, where the peak maximum $t_{max}$ of the {\\it time-domain\nresonance} corresponds to under-the-barrier tunneling. We argue that $t_{max}$\nrepresents the relevant tunneling time scale through the classically forbidden\nregion.",
"arxiv_id": "quant-ph/0311175",
"authors": [
"Gast\u00f3n Garc\u00eda-Calder\u00f3n",
"Jorge Villavicencio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.052107",
"journal_ref": "Physical Review A 68 052107 2003",
"title": "Transient time-domain resonances and the time scale for tunneling",
"url": "https://arxiv.org/abs/quant-ph/0311175"
},
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