dorsal/arxiv
View SchemaDynamical tunneling of bound systems through a potential barrier: complex way to the top
| Authors | F. Bezrukov, D. Levkov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312144 |
| URL | https://arxiv.org/abs/quant-ph/0312144 |
| DOI | 10.1134/1.1757681 |
| Journal | J.Exp.Theor.Phys.98:820-836,2004; Zh.Eksp.Teor.Fiz.125:938-956,2004 |
Abstract
A semiclassical method of complex trajectories for the calculation of the tunneling exponent in systems with many degrees of freedom is further developed. It is supplemented with an easily implementable technique, which enables one to single out the physically relevant trajectory from the whole set of complex classical trajectories. The method is applied to semiclassical transitions of a bound system through a potential barrier. We find that the properties of physically relevant complex trajectories are qualitatively different in the cases of potential tunneling at low energy and dynamical tunneling at energies exceeding the barrier height. Namely, in the case of high energies, the physically relevant complex trajectories describe tunneling via creation of a state close to the top of the barrier. The method is checked against exact solutions of the Schrodinger equation in a quantum mechanical system of two degrees of freedom.
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"abstract": "A semiclassical method of complex trajectories for the calculation of the\ntunneling exponent in systems with many degrees of freedom is further\ndeveloped. It is supplemented with an easily implementable technique, which\nenables one to single out the physically relevant trajectory from the whole set\nof complex classical trajectories. The method is applied to semiclassical\ntransitions of a bound system through a potential barrier. We find that the\nproperties of physically relevant complex trajectories are qualitatively\ndifferent in the cases of potential tunneling at low energy and dynamical\ntunneling at energies exceeding the barrier height. Namely, in the case of high\nenergies, the physically relevant complex trajectories describe tunneling via\ncreation of a state close to the top of the barrier. The method is checked\nagainst exact solutions of the Schrodinger equation in a quantum mechanical\nsystem of two degrees of freedom.",
"arxiv_id": "quant-ph/0312144",
"authors": [
"F. Bezrukov",
"D. Levkov"
],
"categories": [
"quant-ph",
"hep-ph"
],
"doi": "10.1134/1.1757681",
"journal_ref": "J.Exp.Theor.Phys.98:820-836,2004;\n Zh.Eksp.Teor.Fiz.125:938-956,2004",
"title": "Dynamical tunneling of bound systems through a potential barrier: complex way to the top",
"url": "https://arxiv.org/abs/quant-ph/0312144"
},
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