dorsal/arxiv
View SchemaUltra-fast propagation of Schr\"odinger waves in absorbing media
| Authors | F. Delgado, J. G. Muga, A. Ruschhaupt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306184 |
| URL | https://arxiv.org/abs/quant-ph/0306184 |
| DOI | 10.1103/PhysRevA.69.022106 |
Abstract
We identify the characteristic times of the evolution of a quantum wave generated by a point source with a sharp onset in an absorbing medium. The "traversal'' or "B\"uttiker-Landauer'' time (which grows linearly with the distance to the source) for the Hermitian, non-absorbing case is substituted by three different characteristic quantities. One of them describes the arrival of a maximum of the density calculated with respect to position, but the maximum with respect to time for a given position becomes independent of the distance to the source and is given by the particle's ``survival time'' in the medium. This later effect, unlike the Hartman effect, occurs for injection frequencies under or above the cut-off, and for arbitrarily large distances. A possible physical realization is proposed by illuminating a two-level atom with a detuned laser.
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"abstract": "We identify the characteristic times of the evolution of a quantum wave\ngenerated by a point source with a sharp onset in an absorbing medium. The\n\"traversal\u0027\u0027 or \"B\\\"uttiker-Landauer\u0027\u0027 time (which grows linearly with the\ndistance to the source) for the Hermitian, non-absorbing case is substituted by\nthree different characteristic quantities. One of them describes the arrival of\na maximum of the density calculated with respect to position, but the maximum\nwith respect to time for a given position becomes independent of the distance\nto the source and is given by the particle\u0027s ``survival time\u0027\u0027 in the medium.\nThis later effect, unlike the Hartman effect, occurs for injection frequencies\nunder or above the cut-off, and for arbitrarily large distances. A possible\nphysical realization is proposed by illuminating a two-level atom with a\ndetuned laser.",
"arxiv_id": "quant-ph/0306184",
"authors": [
"F. Delgado",
"J. G. Muga",
"A. Ruschhaupt"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.022106",
"title": "Ultra-fast propagation of Schr\\\"odinger waves in absorbing media",
"url": "https://arxiv.org/abs/quant-ph/0306184"
},
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