dorsal/arxiv
View SchemaQuantum Arnol'd diffusion in a rippled waveguide
| Authors | V. Ya. Demikhovskii, F. M. Izrailev, A. I. Malyshev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507254 |
| URL | https://arxiv.org/abs/quant-ph/0507254 |
| DOI | 10.1016/j.physleta.2005.10.110 |
| Journal | Phys. Lett. A 352 (2006) 491 |
Abstract
We study the quantum Arnol'd diffusion for a particle moving in a quasi-1D waveguide bounded by a periodically rippled surface, in the presence of the time-periodic electric field. It was found that in a deep semiclassical region the diffusion-like motion occurs for a particle in the region corresponding to a stochastic layer surrounding the coupling resonance. The rate of the quantum diffusion turns out to be less than the corresponding classical one, thus indicating the influence of quantum coherent effects. Another result is that even in the case when such a diffusion is possible, it terminates in time due to the mechanism similar to that of the dynamical localization. The quantum Arnol'd diffusion represents a new type of quantum dynamics, and may be experimentally observed in measurements of a conductivity of low-dimensional mesoscopic structures.
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"abstract": "We study the quantum Arnol\u0027d diffusion for a particle moving in a quasi-1D\nwaveguide bounded by a periodically rippled surface, in the presence of the\ntime-periodic electric field. It was found that in a deep semiclassical region\nthe diffusion-like motion occurs for a particle in the region corresponding to\na stochastic layer surrounding the coupling resonance. The rate of the quantum\ndiffusion turns out to be less than the corresponding classical one, thus\nindicating the influence of quantum coherent effects. Another result is that\neven in the case when such a diffusion is possible, it terminates in time due\nto the mechanism similar to that of the dynamical localization. The quantum\nArnol\u0027d diffusion represents a new type of quantum dynamics, and may be\nexperimentally observed in measurements of a conductivity of low-dimensional\nmesoscopic structures.",
"arxiv_id": "quant-ph/0507254",
"authors": [
"V. Ya. Demikhovskii",
"F. M. Izrailev",
"A. I. Malyshev"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2005.10.110",
"journal_ref": "Phys. Lett. A 352 (2006) 491",
"title": "Quantum Arnol\u0027d diffusion in a rippled waveguide",
"url": "https://arxiv.org/abs/quant-ph/0507254"
},
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