Quantum and classical complexity in coupled maps

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 me...

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Detalles Bibliográficos
Publicado: 2017
Materias:
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
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v96_n6_p_Bergamasco
http://hdl.handle.net/20.500.12110/paper_24700045_v96_n6_p_Bergamasco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_24700045_v96_n6_p_Bergamasco
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spelling paper:paper_24700045_v96_n6_p_Bergamasco2023-06-08T16:36:44Z Quantum and classical complexity in coupled maps 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 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v96_n6_p_Bergamasco http://hdl.handle.net/20.500.12110/paper_24700045_v96_n6_p_Bergamasco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Quantum and classical complexity in coupled maps
topic_facet 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
description 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.
title Quantum and classical complexity in coupled maps
title_short Quantum and classical complexity in coupled maps
title_full Quantum and classical complexity in coupled maps
title_fullStr Quantum and classical complexity in coupled maps
title_full_unstemmed Quantum and classical complexity in coupled maps
title_sort quantum and classical complexity in coupled maps
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v96_n6_p_Bergamasco
http://hdl.handle.net/20.500.12110/paper_24700045_v96_n6_p_Bergamasco
_version_ 1768546183569997824

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