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Phys. Rev. A 65, 013401 (2001) [5 pages]

Quantum revivals in periodically driven systems close to nonlinear resonances

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Farhan Saif1,2,* and Fortunato1,3,†
1Abteilung für Quantenphysik, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany
2Department of Electronics, Quaid-i-Azam University, 54320 Islamabad, Pakistan
3Dipartimento di Matematica e Fisica and INFM, Università di Camerino, I-62032 Camerino, Italy

Received 25 July 2000; published 10 December 2001

We calculate the quantum revival time for a wave packet initially well localized in a one-dimensional potential in the presence of an external periodic modulating field. The dependence of the revival time on various parameters of the driven system is shown analytically. As an example of an application of our approach, we compare the analytically obtained values of the revival time for various modulation strengths with the numerically computed ones in the case of a driven gravitational cavity. We show that they are in very good agreement.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.013401
DOI:
10.1103/PhysRevA.65.013401
PACS:
03.65.Sq, 03.75.Be, 32.80.Lg, 47.52.+j

*Email: address: farhan@qau.edu.pk

Email address: mauro@camcat.unicam.it