dorsal/arxiv
View SchemaNon-Markovian decay beyond the Fermi Golden Rule: Survival Collapse of the polarization in spin chains
| Authors | E. Rufeil Fiori, H. M. Pastawski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511176 |
| URL | https://arxiv.org/abs/quant-ph/0511176 |
| DOI | 10.1016/j.cplett.2005.12.025 |
| Journal | Chem. Phys. Lett., 420, 35-41 (2006) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The decay of a local spin excitation in an inhomogeneous spin chain is evaluated exactly: 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 polarization down by several orders of magnitude. We identify this strongly destructive interference as an antiresonance in the time domain. These general phenomena are suitable for observation through an NMR experiment.
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"abstract": "The decay of a local spin excitation in an inhomogeneous spin chain is\nevaluated exactly: I) It starts quadratically up to a spreading time t_{S}. II)\nIt follows an exponential behavior governed by a self-consistent Fermi Golden\nRule. III) At longer times, the exponential is overrun by an inverse power law\ndescribing return processes governed by quantum diffusion. At this last\ntransition time t_{R} a survival collapse becomes possible, bringing the\npolarization down by several orders of magnitude. We identify this strongly\ndestructive interference as an antiresonance in the time domain. These general\nphenomena are suitable for observation through an NMR experiment.",
"arxiv_id": "quant-ph/0511176",
"authors": [
"E. Rufeil Fiori",
"H. M. Pastawski"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1016/j.cplett.2005.12.025",
"journal_ref": "Chem. Phys. Lett., 420, 35-41 (2006)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Non-Markovian decay beyond the Fermi Golden Rule: Survival Collapse of the polarization in spin chains",
"url": "https://arxiv.org/abs/quant-ph/0511176"
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