dorsal/arxiv
View SchemaAnomalous power law of quantum reversibility for classically regular dynamics
| Authors | Ph. Jacquod, I. Adagideli, C. W. J. Beenakker |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206160 |
| URL | https://arxiv.org/abs/quant-ph/0206160 |
| DOI | 10.1209/epl/i2003-00289-y |
| Journal | Europhys. Lett. 61, 729-735 (2003) |
Abstract
The Loschmidt Echo M(t) (defined as the squared overlap of wave packets evolving with two slightly different Hamiltonians) is a measure of quantum reversibility. We investigate its behavior for classically quasi-integrable systems. A dominant regime emerges where M(t) ~ t^{-alpha} with alpha=3d/2 depending solely on the dimension d of the system. This power law decay is faster than the result ~ t^{-d} for the decay of classical phase space densities.
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"abstract": "The Loschmidt Echo M(t) (defined as the squared overlap of wave packets\nevolving with two slightly different Hamiltonians) is a measure of quantum\nreversibility. We investigate its behavior for classically quasi-integrable\nsystems. A dominant regime emerges where M(t) ~ t^{-alpha} with alpha=3d/2\ndepending solely on the dimension d of the system. This power law decay is\nfaster than the result ~ t^{-d} for the decay of classical phase space\ndensities.",
"arxiv_id": "quant-ph/0206160",
"authors": [
"Ph. Jacquod",
"I. Adagideli",
"C. W. J. Beenakker"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"nlin.CD"
],
"doi": "10.1209/epl/i2003-00289-y",
"journal_ref": "Europhys. Lett. 61, 729-735 (2003)",
"title": "Anomalous power law of quantum reversibility for classically regular dynamics",
"url": "https://arxiv.org/abs/quant-ph/0206160"
},
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