dorsal/arxiv
View SchemaSurvival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse
| Authors | E. Rufeil Fiori, H. M. Pastawski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604069 |
| URL | https://arxiv.org/abs/quant-ph/0604069 |
| DOI | 10.1590/S0103-97332006000600012 |
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.
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"date_created": "2026-03-02T18:02:27.443000Z",
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"abstract": "The evolution of a surface excitation in a two dimentional model is analyzed.\nI) It starts quadratically up to a spreading time t_{S}. II) It follows an\nexponential behavior governed by a self-consistent Fermi Golden Rule. III) At\nlonger times, the exponential is overrun by an inverse power law describing\nreturn processes governed by quantum diffusion. At this last transition time\nt_{R} a survival collapse becomes possible, bringing the survival probability\ndown by several orders of magnitude. We identify this strongly destructive\ninterference as an antiresonance in the time domain.",
"arxiv_id": "quant-ph/0604069",
"authors": [
"E. Rufeil Fiori",
"H. M. Pastawski"
],
"categories": [
"quant-ph"
],
"doi": "10.1590/S0103-97332006000600012",
"title": "Survival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse",
"url": "https://arxiv.org/abs/quant-ph/0604069"
},
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