Survival Probability of Surface Excitations in a 2d Lattice: Non-Markovian Effects and Survival Collapse

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Main Author: E. Rufeil Fiori
Format: Artículo científico
Language:en
Published: Sociedade Brasileira de Física 2006
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author E. Rufeil Fiori
author_facet E. Rufeil Fiori
contents Survival Probability of Surface Excitations in a 2d Lattice: Non-Markovian Effects and Survival Collapse E. Rufeil Fiori H. M. Pastawski Física, Astronomía y Matemáticas Memory effects Interference in time domain The evolution of a surface excitation in a two dimentional model is analyzed. I) It starts quadratically upto a spreading time tS: 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 governedby quantum diffusion. At this last transition time tR a survival collapse becomes possible, bringing the survivalprobability down by several orders of magnitude. We identify this strongly destructive interference as anantiresonance in the time domain. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436512 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3B Vol.36
format Artículo científico
id redalyc_46436512
institution Redalyc
language en
publishDate 2006
publisher Sociedade Brasileira de Física
spellingShingle Survival Probability of Surface Excitations in a 2d Lattice: Non-Markovian Effects and Survival Collapse
E. Rufeil Fiori
Física, Astronomía y Matemáticas
Memory effects
Interference in time domain
Survival Probability of Surface Excitations in a 2d Lattice: Non-Markovian Effects and Survival Collapse E. Rufeil Fiori H. M. Pastawski Física, Astronomía y Matemáticas Memory effects Interference in time domain The evolution of a surface excitation in a two dimentional model is analyzed. I) It starts quadratically upto a spreading time tS: 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 governedby quantum diffusion. At this last transition time tR a survival collapse becomes possible, bringing the survivalprobability down by several orders of magnitude. We identify this strongly destructive interference as anantiresonance in the time domain. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436512 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3B Vol.36
title Survival Probability of Surface Excitations in a 2d Lattice: Non-Markovian Effects and Survival Collapse
topic Física, Astronomía y Matemáticas
Memory effects
Interference in time domain
url https://www.redalyc.org/articulo.oa?id=46436512