Abstract
It is shown that a non-vibrating diatomic molecule (i.e. a rigid rotor) in the presence of a strong laser field changes its hindered rotational motion (which on the average is in resonance with the oscillating time dependent field) from anti-clockwise to clockwise (hindered) rotational motion. This transition is classically forbidden and is another example of a quantum mechanical tunneling phenomenon occurring due to the time-reversal symmetry of the Hamiltonian. Classically, the two stable rotational modes are separated by an extended chaotic region in phase space. The Husimi representation of the quasienergy states of the time-periodic quantum system enables us to localize wave packets inside the classical stability islands. The effect of the field and the molecular parameters on the perioid of this oscillation is obtained from the quasienergy splittings without the need to carry out long time dependent computations. An analytical analysis of the dynamical tunneling using an extended version of the (t,t′) formalism recently developed (J. Chem. Phys.99, 4590 (1993)) is in remarkable agreement with the numerical results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ben-Tal, N., Moiseyev, N., Kosloff, R., Cerjan, C.: J. Phys. B26, 1445 (1993)
Blümel, R., Fishman, S., Smilansky, U.: J. Chem. Phys.84, 2604 (1986)
Moiseyev, N., Korsch, H.J., Mirbach, B.: Z. Phys. D29, 125 (1994)
Davis, M.J., Heller, E.J.: J. Chem. Phys.75, 246 (1981)
Grobe, R., Haake, F.: Z. Phys. B68, 503 (1987)
Lin, W.A., Ballantine, L.E.: Phys. Rev. Lett.65, 2927 (1990); Phys. Rev. A45, 3637 (1992)
Peres, A.: Phys. Rev. Lett.67, 158 (1991)
Großmann, F., Jung, P., Dittrich, T., Hänggi, P.: Phys. Rev. Lett.67, 516 (1991); Z. Phys. B84, 315 (1991); Großmann, F., Dittrich, T., Hänggi, P.: Physica B175, 293 (1991); Großmann, F., Dittrich, T., Jung, P., Hänggi, P.: J. Stat. Phys.70, 229 (1993); Hänggi, P., Utermann, R., Dittrich, T.: PhysicaB194–196, 1013 (1994); Utermann, R., Dittrich, T., Hänggi, P.: Phys. Rev. E49, 273 (1994)
Plata, J., Gomez Llorente, J.M.: J. Phys. A25, L303 (1992)
Casati, G., Graham, R., Guarneri, I., Izrailev, F.M.: Phys. Lett. A190, 159 (1994)
Mirbach, B., Korsch, H.J.: J. Phys. A27, 6579 (1994)
Takahashi, K.: Progr. Theor. Phys. Suppl.98, 109 (1989)
Peskin, U., Moiseyev, N.: J. Chem. Phys.99, 4590 (1993)
Peskin, U., Kosloff, R., Moiseyev, N.: J. Chem. Phys.100, 8849 (1994)
This choice of a wave packet follows the coherent state representation for the rotor suggested by Chang, S.-J., Shi, K.-J.: Phys. Rev. A34, 7 (1986) (for a different prescription of coherent rotor states see Życzkowski, K.: Phys. Rev. A35, 3546 (1987))
Tomosovic, S., Bohigas, O., Ullmo, D.: Phys. Rep.223, 43 (1993)
Mirbach, B., Korsch, H.J.: Phys. Rev. Lett.75, 362 (1995)
Peres, A.: In: Quantum chaos. Cerdeira, H.A., Ramaswamy, R., Gutzwillern, M.C., Casati, G., (eds.) pp. 73–103 Singapore: World Scientific 1991
Pechukas, P.: J. Math. Phys.25, 532 (1984); J. Phys. Chem.88, 4823 (1984); Zimmermann, Th., Köppel, H., Cederbaum, L.S.: J. Chem. Phys.91, 3934 (1989)
Chang, S.-J., Shi, K.-J.: Phys. Rev. A34, 7 (1986)
Holthaus, M.: Phys. Rev. Lett.69, 1596 (1992)
Kosloff, R., Rice, S.A., Gaspard, P., Tersigni, S., Tannor, D.J.: Chem. Phys.139, 201 (1984)
Moiseyev, N., Neuhauser, D.: to be published
Author information
Authors and Affiliations
Additional information
Member of the Minerva center of non-linear physics of complex systems at the Technion