Creffield, Charles E.2023-06-202023-06-202004-06[1] Grossmann F., Dittrich T., Jung P. and Hänggi P. 1991 Phys. Rev. Lett. 67 516. [2] Holthaus M. 1992 Z. Phys. B 59 251. [3] Grossmann F. and Hänggi P. 1992 Europhys. Lett. 18 571. [4] Lehmann Jörg, Camalet Sébastien, Kohler Sigmund and Hänggi Peter 2003 Chem. Phys. Lett. 368 282. [5] Nakamura Y., Pashkin Yu A. and Tsai J. S. 1999 Nature 398 786. [6] Vion D., Aassime A., Cottet A., Joyez P., Pothier H., Urbina C., Esteve D. and Devoret M. H. 2002 Science 296 886. [7] Grifoni M. and Hänggi P. 1998 Phys. Rep. 304 229. [8] Non-bibliographic reference, see full text. [9] Bavli R. and Metiu H. 1992 Phys. Rev. Lett. 69 1986. [10] Villas-Bôas J. M., Zhang Wei, Ulloa Sergio E., Rivera P. H. and Studart Nelson 2002 Phys. Rev. B 66 085325. [11] Creffield C. E. 2003 Phys. Rev. B 67 165301. [12] Schirmer S. G., Zhang T. and Leahy J. V. 2004 J. Phys. A 37 1389.0295-507510.1209/epl/i2004-10029-5https://hdl.handle.net/20.500.14352/51862© EDP Sciences. The author gratefully acknowledges the hospitality of the University of Edinburgh, where this work was completed.A two-level system subjected to a high-frequency driving field can exhibit an effect termed "coherent destruction of tunneling", in which the tunneling of the system is suppressed at certain values of the frequency and strength of the field. This suppression becomes less effective as the frequency of the driving field is reduced, and we show here how the detailed form of its fall-off depends on the phase of the driving, which for certain values can produce small local maxima (or revivals) in the overall decay. By considering a square-wave driving field, which has the advantage of being analytically tractable, we show how this surprising behavior can be interpreted geometrically in terms of orbits on the Bloch sphere. These results are of general applicability to more commonly used fields, such as sinusoidal driving, which display a similar phenomenology.engjournal articlehttp://dx.doi.org/10.1209/epl/i2004-10029-5http://iopscience.iop.org/Http://arxiv.orgopen access538.9PhysicsQuantum statesFísica de materiales