Abstract:
We study a generic and paradigmatic two-degrees-of-freedom system consisting of two coupled perturbed cat maps with different types of dynamics. The Wigner separability entropy (WSE) - equivalent to the operator space entanglement entropy - and the classical separability entropy (CSE) are used as measures of complexity. For the case where both degrees of freedom are hyperbolic, the maps are classically ergodic and the WSE and the CSE behave similarly, growing to higher values than in the doubly elliptic case. However, when one map is elliptic and the other hyperbolic, the WSE reaches the same asymptotic value than that of the doubly hyperbolic case but at a much slower rate. The CSE only follows the WSE for a few map steps, revealing that classical dynamical features are not enough to explain complexity growth. © 2017 American Physical Society.
Registro:
| Documento: |
Artículo
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| Título: | Quantum and classical complexity in coupled maps |
| Autor: | Bergamasco, P.D.; Carlo, G.G.; Rivas, A.M.F. |
| Filiación: | Departamento de Física, CNEA, Libertador, (C1429BNP) Buenos Aires, 8250, Argentina
Departamento de Física, CNEA, CONICET, Libertador, (C1429BNP) Buenos Aires, 8250, Argentina
Departamento de Física, FCEyN, Universidad de Buenos AiresC1428EGA, Argentina
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| Palabras clave: | Degrees of freedom (mechanics); Entropy; Mechanics; Asymptotic values; Complexity growth; Coupled maps; Dynamical features; Entanglement entropy; Ergodics; Measures of complexity; Two degrees of freedom systems; Quantum entanglement |
| Año: | 2017
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| Volumen: | 96
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| Número: | 6
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| DOI: |
http://dx.doi.org/10.1103/PhysRevE.96.062144 |
| Título revista: | Physical Review E
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| Título revista abreviado: | Phys. Rev. E
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| ISSN: | 24700045
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| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v96_n6_p_Bergamasco |
Referencias:
- Castelvecchi, D., (2017) Nature, 543, p. 597
- Pattanayak, A.K., (1999) Phys. Rev. Lett., 83, p. 4526
- Neill, C., (2016) Nat. Phys., 12, p. 1037
- Lombardi, M., Matzkin, A., (2011) Phys. Rev. e, 83, p. 016207
- Casati, G., Guarneri, I., Reslen, J., (2012) Phys. Rev. e, 85, p. 036208
- Borgonovi, F., (2016) Phys. Rep., 626, p. 1
- Benenti, G., Carlo, G.G., Prosen, T., (2012) Phys. Rev. e, 85, p. 051129
- Prosen, T., (2011) Phys. Rev. e, 83, p. 031124
- Bandyopadhyay, J.N., Lakshminarayan, A., (2002) Phys. Rev. Lett., 89, p. 060402
- Zanardi, P., (2001) Phys. Rev. A, 63, p. 040304. , (R)
- Wang, X., Zanardi, P., (2002) Phys. Rev. A, 66, p. 044303
- Nielsen, M.A., Dawson, C.M., Dodd, J.L., Gilchrist, A., Mortimer, D., Osborne, T.J., Bremner, M.J., Hines, A., (2003) Phys. Rev. A, 67, p. 052301
- Prosen, T., Pižorn, I., (2007) Phys. Rev. A, 76, p. 032316
- De Almeida, A.M.O., (1998) Phys. Rep., 295, p. 265
- Rivas, A.M.F., De Almeida, A.M.O., (1999) Ann. Phys., 276, p. 223
- Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , (Cambridge University Press, Cambridge)
- Benenti, G., Casati, G., Strini, G., (2007) Principles of Quantum Computation and Information, 2. , (World Scientific, Singapore)
- Hannay, J.H., Berry, M.V., (1980) Physica D, 1, p. 267
- De Matos, M.B., De Almeida, A.M.O., (1995) Ann. Phys., 237, p. 46
- Haake, F., (2001) Quantum Signatures of Chaos, , (Springer-Verlag, New York)
- Espositi, M.D., Winn, B., (2005) J. Phys. A: Math. Gen., 38, p. 5895
- Arguelles, A., Dittrich, T., (2005) Physica A, 356, p. 72
- Kaplan, L., Heller, E.J., (1998) Physica D, 121, p. 1
- Rivas, A.M.F., Saraceno, M., De Almeida, A.M.O., (2000) Nonlinearity, 13, p. 341
Citas:
---------- APA ----------
Bergamasco, P.D., Carlo, G.G. & Rivas, A.M.F.
(2017)
. Quantum and classical complexity in coupled maps. Physical Review E, 96(6).
http://dx.doi.org/10.1103/PhysRevE.96.062144---------- CHICAGO ----------
Bergamasco, P.D., Carlo, G.G., Rivas, A.M.F.
"Quantum and classical complexity in coupled maps"
. Physical Review E 96, no. 6
(2017).
http://dx.doi.org/10.1103/PhysRevE.96.062144---------- MLA ----------
Bergamasco, P.D., Carlo, G.G., Rivas, A.M.F.
"Quantum and classical complexity in coupled maps"
. Physical Review E, vol. 96, no. 6, 2017.
http://dx.doi.org/10.1103/PhysRevE.96.062144---------- VANCOUVER ----------
Bergamasco, P.D., Carlo, G.G., Rivas, A.M.F. Quantum and classical complexity in coupled maps. Phys. Rev. E. 2017;96(6).
http://dx.doi.org/10.1103/PhysRevE.96.062144
