Berlin 2015 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 18: Focus Session: Dynamics in Many-Body Systems: Equilibration and Localization (joint session TT/DY)

DY 18.8: Vortrag

Dienstag, 17. März 2015, 12:45–13:00, H 0104

Nonsmooth and level-resolved dynamics illustrated with a periodically driven tight binding model — •Jiang min Zhang and Masudul Haque — Max-Plank-Institute-PKS, Dresden, Germany

We point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact locations of the eigenvalues in the continuum spectrum, in contrast to coarse-graining ideas. Underlying this nonsmooth and level-resolved dynamics is a simple equality about the sinc function sinc (x) ≡ sinx / x. These physical effects appear in many systems with approximately equally spaced spectra, and is also robust for larger-amplitude coupling beyond the domain of perturbation theory. We use a one-dimensional periodically driven tight-binding model to illustrate these effects, both within and outside the perturbative regime.

[1] J. M. Zhang and Masudul Haque, arXiv:1404.4280.