Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.55: Poster
Donnerstag, 30. März 2006, 16:00–18:00, P1
Quantum relaxation in two-level systems under influence of a stationary 1/fα noise — •Igor Goychuk and Peter Hänggi — Institut für Physik, Universität Augsburg, Germany
We investigate relaxation in quantum two-levels systems under the influence of stationary 1/fα noises. The renewal model of two-state non-Markovian processes with finite mean residence time but diverging variance of the residence time distribution is considered. Applying the general theory developed in [1], we obtained exact analytical solution of the considered quantum relaxation problem in the Laplace domain [2]. Performing both asymptotical analysis and precise numerical inversion to the time domain we show that for a broad range of parameters the relaxation can be mostly single-exponential ending, however, with a heavy 1/t1−α tail (0<α<1). For α close to one, this creates impression of a nonequilibrium residual magnetization, i.e. relaxation to a non-equilibrium steady state on a numerically (or might be also physically) accessible time-scale.
[1] I. Goychuk, Phys. Rev. E 70, 016109 (2004); I. Goychuk and P. Hänggi, Adv. Phys. 54 (2005) (in press).
[2] I. Goychuk and P. Hänggi, Chem. Phys. (2006) (in press).