dorsal/arxiv
View SchemaSpectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas
| Authors | Ignacio Garcia-Mata, Marcos Saraceno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505043 |
| URL | https://arxiv.org/abs/quant-ph/0505043 |
| DOI | 10.1142/S0217984905008402 |
| Journal | Mod. Phys. Lett. B 19, 341 (2005) (World Scientific) |
Abstract
Correspondence in quantum chaotic systems is lost in short time scales. Introducing some noise we study the spectrum of the resulting coarse grained propagaor of density matrices. Some differen methods to compute the spectrum are reviewed. Moreover, the relationship between the eigenvalues of the coarse-grained superoperator and the classical Ruelle-Pollicott resonances is remarked. As a concequence, classical decay rates in quantum time dependent quantities appear.
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"abstract": "Correspondence in quantum chaotic systems is lost in short time scales.\nIntroducing some noise we study the spectrum of the resulting coarse grained\npropagaor of density matrices. Some differen methods to compute the spectrum\nare reviewed. Moreover, the relationship between the eigenvalues of the\ncoarse-grained superoperator and the classical Ruelle-Pollicott resonances is\nremarked. As a concequence, classical decay rates in quantum time dependent\nquantities appear.",
"arxiv_id": "quant-ph/0505043",
"authors": [
"Ignacio Garcia-Mata",
"Marcos Saraceno"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1142/S0217984905008402",
"journal_ref": "Mod. Phys. Lett. B 19, 341 (2005) (World Scientific)",
"title": "Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas",
"url": "https://arxiv.org/abs/quant-ph/0505043"
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