dorsal/arxiv
View SchemaLow Energy Wave Packet Tunneling from a Parabolic Potential Well through a High Potential Barrier
| Authors | V. V. Dodonov, A. B. Klimov, V. I. Man'ko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9607005 |
| URL | https://arxiv.org/abs/quant-ph/9607005 |
| DOI | 10.1016/0375-9601(96)00482-3 |
Abstract
The problem of wave packet tunneling from a parabolic potential well through a barrier represented by a power potential is considered in the case when the barrier height is much greater than the oscillator ground state energy, and the difference between the average energy of the packet and the nearest oscillator eigenvalue is sufficiently small. The universal Poisson distribution of the partial tunneling rates from the oscillator energy levels is discovered. The explicit expressions for the tunneling rates of different types of packets (coherent, squeezed, even/odd, thermal, etc.) are given in terms of the exponential and modified Bessel functions. The tunneling rates turn out very sensitive to the energy distributions in the packets, and they may exceed significantly the tunneling rate from the energy state with the same average number of quanta.
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"abstract": "The problem of wave packet tunneling from a parabolic potential well through\na barrier represented by a power potential is considered in the case when the\nbarrier height is much greater than the oscillator ground state energy, and the\ndifference between the average energy of the packet and the nearest oscillator\neigenvalue is sufficiently small. The universal Poisson distribution of the\npartial tunneling rates from the oscillator energy levels is discovered. The\nexplicit expressions for the tunneling rates of different types of packets\n(coherent, squeezed, even/odd, thermal, etc.) are given in terms of the\nexponential and modified Bessel functions. The tunneling rates turn out very\nsensitive to the energy distributions in the packets, and they may exceed\nsignificantly the tunneling rate from the energy state with the same average\nnumber of quanta.",
"arxiv_id": "quant-ph/9607005",
"authors": [
"V. V. Dodonov",
"A. B. Klimov",
"V. I. Man\u0027ko"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/0375-9601(96)00482-3",
"title": "Low Energy Wave Packet Tunneling from a Parabolic Potential Well through a High Potential Barrier",
"url": "https://arxiv.org/abs/quant-ph/9607005"
},
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