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https://hdl.handle.net/20.500.12202/6451
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DC Field | Value | Language |
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dc.contributor.author | Borgonovi, F. | |
dc.contributor.author | Izrailev, F.M. | |
dc.contributor.author | Santos, Lea F. | |
dc.date.accessioned | 2020-11-19T20:50:22Z | |
dc.date.available | 2020-11-19T20:50:22Z | |
dc.date.issued | 2019-01-02 | |
dc.identifier.citation | Santos, Lea F., Fausto Borgonovi, Felix M Izrailev. (2019). Exponentially fast dynamics of chaotic many-body systems. Physical Review E 99(1): 010101. | en_US |
dc.identifier.issn | Print: 2470-0045 Electronic: 2470-0053 | |
dc.identifier.uri | https://doi.org/10.1103/PhysRevE.99.010101 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12202/6451 | |
dc.description | Research article, peer-reviewed. Open Access. | en_US |
dc.description.abstract | We demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of many-body states participating in the evolution after a quench increases exponentially in time, provided the eigenstates are delocalized in the energy shell. The rate of the exponential growth is defined by the width Γ of the local density of states and is associated with the Kolmogorov-Sinai entropy for systems with a well-defined classical limit. In a finite system, the exponential growth eventually saturates due to the finite volume of the energy shell. We estimate the timescale for the saturation and show that it is much larger than ℏ/Γ. Numerical data obtained for a two-body random interaction model of bosons and for a dynamical model of interacting spin-1/2 particles show excellent agreement with the analytical predictions. | en_US |
dc.description.sponsorship | Acknowledgments. We acknowledge discussions with G. L. Celardo. F.B. acknowledges support by the I.S. INFNDynSysMath. F.M.I. acknowledges financial support from VIEP-BUAP Grant No. IZF-EXC16-G. L.F.S. was funded by the U.S. National Science Foundation (NSF) Grant No. DMR-1603418. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.ispartofseries | Physical Review E;99(1) | |
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 statistical mechanics | en_US |
dc.subject | Nonequilibrium lattice models | en_US |
dc.subject | Quantum Information | en_US |
dc.subject | Statistical Physics | en_US |
dc.title | Exponentially fast dynamics of chaotic many-body 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 |
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File | Description | Size | Format | |
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Santos Exponentially fast 2019 OA PhysRevE.99.010101.pdf | 294.61 kB | Adobe PDF | View/Open |
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