[en] Dynamical tunneling between symmetry related invariant tori is studied in the near-integrable regime. Using the kicked Harper model as an illustration, we show that the exponential decay of the wave functions in the classically forbidden region is modified due to coupling processes that are mediated by classical resonances. This mechanism leads to a substantial deviation of the splitting between quasidegenerate eigenvalues from the purely exponential decrease with 1/(h) over bar obtained for the integrable system. A simple semiclassical framework, which takes into account the effect of the resonance substructure on the invariant tori, allows one to quantitatively reproduce the behavior of the eigenvalue splittings.
Disciplines :
Physics
Author, co-author :
Brodier, O.
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Ullmo, D.
Language :
English
Title :
Resonance-assisted tunneling in near-integrable systems
Publication date :
2001
Journal title :
Physical Review Letters
ISSN :
0031-9007
eISSN :
1079-7114
Publisher :
American Physical Society, Ridge, United States - New York
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Bibliography
Creagh S. Tunneling in Complex Systems , edited by S. Tomsovic (World Scientific, Singapore); 1998, 1.
Creagh S.C., Whelan N.D. Phys. Rev. Lett. 1996, 77:4975.
Phys. Rev. Lett. 1999, 82:5237.
Davis M.J., Heller E.J. J. Chem. Phys. 1981, 75:246.
Lin W.A., Ballentine L.E. Phys. Rev. Lett. 1990, 65:2927.
Grossmann F., Dittrich T., Jung P., Hänggi P. Phys. Rev. Lett. 1991, 67:516.
Roncaglia R. Phys. Rev. Lett. 1994, 73:802.
Bohigas O., Tomsovic S., Ullmo D. Phys. Rep. 1993, 223:45.
Bohigas O., Boosé D., De Carvalho R.E., Marvulle V. Nucl. Phys. A 1993, 560:197.
Tomsovic S., Ullmo D. Phys. Rev. E 1994, 50:145.
Doron E., Frischat S.D. Phys. Rev. Lett. 1995, 75:3661.
Frischat S.D., Doron E. Phys. Rev. E 1998, 57:1421.
Leyvraz F., Ullmo D. J. Phys. A 1996, 29:2529.
Zakrzewski J., Delande D., Buchleitner A. Phys. Rev. E 1998, 57:1458.
Nöckel J.U., Stone A.D. Nature (London) 1997, 385:45.
Dembowski C. Phys. Rev. Lett. 2000, 84:867.
Bonci L., Farusi A., Grigolini P., Roncaglia R. Phys. Rev. E 1998, 58:5689.
Uzer T., Noid D.W., Marcus R.A. J. Chem. Phys. 1983, 79:4412.
De Almeida A.M.O. J. Phys. Chem. 1984, 88:6139.
Leboeuf P., Kurchan J., Feingold M., Arovas D.P. Phys. Rev. Lett. 1990, 65:3076.
Sokolov V.V. Sov. J. Theor. Math. Phys. 1986, 67:223.
Sokolov V.V., Zhirov O.V., Alonso D., Casati G. Phys. Rev. Lett. 2000, 84:3566.
Lichtenberg A.J., Lieberman M.A. Regular and Stochastic Motion, Springer-Verlag, New York; 1983.
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