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https://hdl.handle.net/20.500.12202/4288
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DC Field | Value | Language |
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dc.contributor.author | Santos, Lea F. | |
dc.contributor.author | Chavez-Carlos, Jorge | |
dc.contributor.author | Bastarrachea-Magnani, Miguel A. | |
dc.contributor.author | Lopez-del-Carpio, B. | |
dc.contributor.author | Stransky, Pavel | |
dc.contributor.author | Lerma-Hernandez, Sergio | |
dc.contributor.author | Hirsch, Jorge G. | |
dc.date.accessioned | 2018-12-31T18:01:16Z | |
dc.date.available | 2018-12-31T18:01:16Z | |
dc.date.issued | 2018-07-26 | |
dc.identifier.citation | Chavez-Carlos, J., Lopez-del-Carpio, B., Bastarrachea-Magnani, M.A., Stransky, P., Lerma-Hernandez, S., Santos, L.F., and Hirsch, J.G. (2018) Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems. arXiv: 1807.10292. | en_US |
dc.identifier.issn | 2331-8422 | |
dc.identifier.uri | https://arxiv.org/pdf/1807.10292.pdf | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12202/4288 | |
dc.description.abstract | The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum sig- nature of classical chaos. The growth rate is expected to coincide with the classical Lyapunov exponent. This quantum-classical correspondence has been corroborated for the kicked rotor and the stadium billiard, which are one-body chaotic systems. The conjecture has not yet been validated for realistic systems with interactions. We make progress in this direction by studying the OTOC in the Dicke model, where two-level atoms cooperatively interact with a quantized radiation field. For parameters where the model is chaotic in the classical limit, the OTOC increases exponentially in time with a rate that closely follows the classical Lyapunov exponen | en_US |
dc.description.sponsorship | We acknowledge financial support from Mexican CONA- CyT project CB2015-01/255702, DGAPA- UNAM project IN109417 and RedTC. MABM is a post-doctoral fellow of CONACyT. PS is supported by the Charles University Re- search Center UNCE/SCI/013 and is grateful to P. Cejnar for stimulating discussions. LFS is supported by the NSF grant No. DMR-1603418. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | arXiv.org | en_US |
dc.relation.ispartofseries | arXiv; | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | quantum Lyapunov exponents | en_US |
dc.subject | classical Lyapunov exponents | en_US |
dc.subject | atom-field interaction systems | en_US |
dc.title | Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems. | en_US |
dc.type | Article | en_US |
dc.contributor.orcid | 0000-0001-9400-2709 | |
local.yu.facultypage | https://www.yu.edu/faculty/pages/santos-lea | |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Arxiv 26Jul2018 Quantum and Classical1807.10292.pdf | arxiv preprint | 308.03 kB | Adobe PDF | View/Open |
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