ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Demikhovskii V. I., Malyshev A. I. Quantum Arnold diffusion in rippled channel at the presence of alternating electric field. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 5, pp. 3-15. DOI: 10.18500/0869-6632-2004-12-5-3-15

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Language: 
Russian
Heading: 
Quantum Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2004-12-5-3-15

Quantum Arnold diffusion in rippled channel at the presence of alternating electric field

Autors: 
Demikhovskii Valerii Iakovlevich, Lobachevsky State University of Nizhny Novgorod
Malyshev Aleksandr Igorevich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

We study quantum Arnold diffusion for the particle. moving in the rippled channel at the presence of periodic external electric field. The evolution operator for arbitrary number of field periods and diffusion rate was calculated for different ripple amplitude and electric field intensity. Two new effects which limit quantum Arnold diffusion have been observed - the diffusion suppression due to dynamical localization and diffusion stop in the case when the number of quantum states corresponding to the classical near separatrix chaotic region has the order of unity. For any model parameters the quantum diffusion coefficient prove to be smaller then classical one.

Key words: 
-
Acknowledgments: 
The work was supported by the RFBR (project № 03-02-17054), grant «Университеты России» (№ ур.01.01.022), and ФНП «Династия».
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Received: 
01.11.2004
Accepted: 
22.02.2005
Published: 
23.03.2005
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