Publication: Expansion of matter waves in static and driven periodic potentials
Full text at PDC
Advisors (or tutors)
American Physical Society
We study the nonequilibrium dynamics of cold atoms held in an optical lattice subjected to a periodic driving potential. The expansion of an initially confined atom cloud occurs in two phases: an initial quadratic expansion followed by a ballistic behavior at long times. Accounting for this gives a good description of recent experimental results and provides a robust method to extract the effective intersite tunneling from time-of-flight measurements.
©2010 The American Physical Society. This research was supported by the Acción Integrada/ Azioni Integrate scheme (Spain/Italy). The authors also acknowledge support from the Spanish MICINN through Grant No. FIS-2007-65723 and the Ramón y Cajal program (CEC).We thank H. Lignier, C. Sias,Y. Singh, and A. Zenesini for assistance with the experiments.
 D. H. Dunlap and V. M. Kenkre, Phys. Rev. B 34, 3625 (1986).  F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. 67, 516 (1991).  C. E. Creffield, Phys. Rev. Lett. 99, 110501 (2007).  H. Lignier, C. Sias, D. Ciampini, Y. Singh, A. Zenesini, O. Morsch, and E. Arimondo, Phys. Rev. ett. 99, 220403 (2007).  C. Sias, H. Lignier, Y. P. Singh, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. 100, 040404 (2008).  E. Kierig, U. Schnorrberger, A. Schietinger, J. Tomkovic, and M. K. Oberthaler, Phys. Rev. Lett. 100, 190405 (2008).  A. R. Kolovsky and H. J. Korsch, J. Sib. Fed. Univ. Math. Phys. 3, 311 (2010).  C. E. Creffield and F. Sols, Phys. Rev. Lett. 100, 250402 (2008).  C. Weiss and H.-P. Breuer, Phys. Rev. A 79, 023608 (2009).  C. E. Creffield, Phys. Rev. A 79, 063612 (2009).  A. Galindo and P. Pascual, Quantum Mechanics I (Theoretical and Mathematical Physics) (Springer-Verlag, Berlin, 1990), Chap. 3.  D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).  M. Holthaus, Phys. Rev. Lett. 69, 351 (1992).  H. J. Korsch and S. Mossmann, Phys. Lett. A 317, 54 (2003); A. Klumpp, D. Witthaut, and H. J. Korsch, J. Phys. A 40, 2299 (2007).  A. Eckardt et al., Phys. Rev. A 79, 013611 (2009).