Survival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse

Abstract

The evolution of a surface excitation in a two dimentional model is analyzed. I) It starts quadratically up to a spreading time t_{S}. II) It follows an exponential behavior governed by a self-consistent Fermi Golden Rule. III) At longer times, the exponential is overrun by an inverse power law describing return processes governed by quantum diffusion. At this last transition time t_{R} a survival collapse becomes possible, bringing the survival probability down by several orders of magnitude. We identify this strongly destructive interference as an antiresonance in the time domain.

4 pages, 3 figures. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press. Braz. Journ. of Phys., in press

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