Contribution to collective works (Parts of books)
Resonance- and Chaos-Assisted Tunneling
Schlagheck, Peter; Eltschka, C.; Ullmo, D.
2006In Yamanouchi, K.; Chin, S. L.; Agostini, P. et al. (Eds.) Progress in Ultrafast Intense Laser Science I
 

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Abstract :
[en] We consider dynamical tunneling between two symmetry-related regular islands that are separated in phase space by a chaotic sea. Such tunneling processes are dominantly governed by nonlinear resonances, which induce a coupling mechanism between “regular” quantum states within and “chaotic” states outside the islands. By means of a random matrix ansatz for the chaotic part of the Hamiltonian, one can show that the corresponding coupling matrix element directly determines the level splitting between the symmetric and the antisymmetric eigenstates of the pair of islands. We show in detail how this matrix element can be expressed in terms of elementary classical quantities that are associated with the resonance. The validity of this theory is demonstrated with the kicked Harper model.
Disciplines :
Physics
Author, co-author :
Schlagheck, Peter ;  Université de Liège - ULiège > Département de physique > Physique quantique statistique
Eltschka, C.
Ullmo, D.
Language :
English
Title :
Resonance- and Chaos-Assisted Tunneling
Publication date :
2006
Main work title :
Progress in Ultrafast Intense Laser Science I
Editor :
Yamanouchi, K.
Chin, S. L.
Agostini, P.
Agostini, G.
Publisher :
Springer, Berlin, Germany
ISBN/EAN :
978-3-540-34421-6
Pages :
107-131
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since 05 November 2010

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