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.
Keywords
Cite
@article{arxiv.quant-ph/0604069,
title = {Survival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse},
author = {E. Rufeil Fiori and H. M. Pastawski},
journal= {arXiv preprint arXiv:quant-ph/0604069},
year = {2015}
}
Comments
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