dorsal/arxiv
View SchemaEfficiency of quantum and classical transport on graphs
| Authors | Oliver Muelken, Alexander Blumen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602120 |
| URL | https://arxiv.org/abs/quant-ph/0602120 |
| DOI | 10.1103/PhysRevE.73.066117 |
| Journal | Phys. Rev. E 73, 066117 (2006) |
Abstract
We propose a measure to quantify the efficiency of classical and quantum mechanical transport processes on graphs. The measure only depends on the density of states (DOS), which contains all the necessary information about the graph. For some given (continuous) DOS, the measure shows a power law behavior, where the exponent for the quantum transport is twice the exponent of its classical counterpart. For small-world networks, however, the measure shows rather a stretched exponential law but still the quantum transport outperforms the classical one. Some finite tree-graphs have a few highly degenerate eigenvalues, such that, on the other hand, on them the classical transport may be more efficient than the quantum one.
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"abstract": "We propose a measure to quantify the efficiency of classical and quantum\nmechanical transport processes on graphs. The measure only depends on the\ndensity of states (DOS), which contains all the necessary information about the\ngraph. For some given (continuous) DOS, the measure shows a power law behavior,\nwhere the exponent for the quantum transport is twice the exponent of its\nclassical counterpart. For small-world networks, however, the measure shows\nrather a stretched exponential law but still the quantum transport outperforms\nthe classical one. Some finite tree-graphs have a few highly degenerate\neigenvalues, such that, on the other hand, on them the classical transport may\nbe more efficient than the quantum one.",
"arxiv_id": "quant-ph/0602120",
"authors": [
"Oliver Muelken",
"Alexander Blumen"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.73.066117",
"journal_ref": "Phys. Rev. E 73, 066117 (2006)",
"title": "Efficiency of quantum and classical transport on graphs",
"url": "https://arxiv.org/abs/quant-ph/0602120"
},
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