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https://hdl.handle.net/20.500.12202/4280Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Santos, Lea F. | |
| dc.contributor.author | Torres-Herrera, Eduardo Jonathan | |
| dc.contributor.author | Tavora, Marco | |
| dc.date.accessioned | 2018-12-18T16:04:35Z | |
| dc.date.available | 2018-12-18T16:04:35Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Torres-Herrera, E.J., Karp, J., Tavora, M., and Santos, L.F. (2016). Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties. Entropy 18(10): 359. | en_US |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.uri | https://doi.org/10.3390/e18100359 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12202/4280 | |
| dc.description | Author Contributions: Eduardo Jonathan Torres-Herrera got the data. All authors, Eduardo Jonathan Torres-Herrera, Jonathan Karp, Marco Távora and Lea F. Santos, shared the data analysis. Lea F. Santos conceived and wrote the paper. The computer codes were written by Eduardo Jonathan Torres-Herrera and Lea F. Santos. Conflicts of Interest: The authors declare no conflict of interest. | en_US |
| dc.description.abstract | We study the static and dynamical properties of isolated many-body quantum systems and compare them with the results for full random matrices. In doing so, we link concepts from quantum information theory with those from quantum chaos. In particular, we relate the von Neumann entanglement entropy with the Shannon information entropy and discuss their relevance for the analysis of the degree of complexity of the eigenstates, the behavior of the system at different time scales and the conditions for thermalization. A main advantage of full random matrices is that they enable the derivation of analytical expressions that agree extremely well with the numerics and provide bounds for realistic many-body quantum systems. | en_US |
| dc.description.sponsorship | Acknowledgments: Eduardo Jonathan Torres-Herrera acknowledges funding from the Mexican government through the CONACyT, PRODEP-SEP and Proyectos VIEP-BUAP 2016. He is also grateful to LNS-BUAP for allowing use of their supercomputing facility. This work was supported by the NSF Grant No. DMR-1147430. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | MDPI | en_US |
| dc.relation.ispartofseries | Entropy;18(10) | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | many-body quantum systems | en_US |
| dc.subject | random matrices | en_US |
| dc.subject | quantum chaos | en_US |
| dc.subject | power law decays | en_US |
| dc.title | Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties. | 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 | |
|---|---|---|---|---|
| Santos et al. Realistic 359 entropy-18-00359-v2.pdf | Publisher PDF Green OA | 1.08 MB | Adobe PDF |  View/Open |
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