Classical counterparts of quantum attractors in generic dissipative systems
- Autores
- Carlo, Gabriel Gustavo; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Poletti, Dario
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In the context of dissipative systems, we show that for any quantum chaotic attractor a corresponding classical chaotic attractor can always be found. We provide a general way to locate them, rooted in the structure of the parameter space (which is typically bidimensional, accounting for the forcing strength and dissipation parameters). In cases where an approximate pointlike quantum distribution is found, it can be associated with exceptionally large regular structures. Moreover, supposedly anomalous quantum chaotic behavior can be very well reproduced by the classical dynamics plus Gaussian noise of the size of an effective Planck constant ℏeff. We give support to our conjectures by means of two paradigmatic examples of quantum chaos and transport theory. In particular, a dissipative driven system becomes fundamental in order to extend their validity to generic cases.
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina
Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina
Fil: Spina, Maria Elena. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina
Fil: Poletti, Dario. Singapore University of Technology and Design; Singapur - Materia
-
QUANTUM CLASSICAL CORRESPONDENCE
DISSIPATIVE SYSTEMS
QUANTUM CHAOTIC ATTRACTOR
TRANSPORT THEORY - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/40973
Ver los metadatos del registro completo
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Classical counterparts of quantum attractors in generic dissipative systemsCarlo, Gabriel GustavoErmann, LeonardoRivas, Alejandro Mariano FidelSpina, Maria ElenaPoletti, DarioQUANTUM CLASSICAL CORRESPONDENCEDISSIPATIVE SYSTEMSQUANTUM CHAOTIC ATTRACTORTRANSPORT THEORYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In the context of dissipative systems, we show that for any quantum chaotic attractor a corresponding classical chaotic attractor can always be found. We provide a general way to locate them, rooted in the structure of the parameter space (which is typically bidimensional, accounting for the forcing strength and dissipation parameters). In cases where an approximate pointlike quantum distribution is found, it can be associated with exceptionally large regular structures. Moreover, supposedly anomalous quantum chaotic behavior can be very well reproduced by the classical dynamics plus Gaussian noise of the size of an effective Planck constant <span class="aps-inline-formula"><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" tabindex="0" style="font-size: 117%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-msub"><span class="mjx-base" style="margin-right: -0.022em;"><span id="MJXc-Node-4" class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.022em;">ℏ</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.23em; padding-right: 0.071em;"><span id="MJXc-Node-5" class="mjx-mi" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.43em; padding-bottom: 0.369em;">eff</span></span></span></span></span></span></span></span>. We give support to our conjectures by means of two paradigmatic examples of quantum chaos and transport theory. In particular, a dissipative driven system becomes fundamental in order to extend their validity to generic cases.Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; ArgentinaFil: Ermann, Leonardo. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; ArgentinaFil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; ArgentinaFil: Spina, Maria Elena. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; ArgentinaFil: Poletti, Dario. Singapore University of Technology and Design; SingapurAmerican Physical Society2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/40973Carlo, Gabriel Gustavo; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Poletti, Dario; Classical counterparts of quantum attractors in generic dissipative systems; American Physical Society; Physical Review E; 95; 6; 6-2017; 1-62470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.95.062202info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.062202info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:47:40Zoai:ri.conicet.gov.ar:11336/40973instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:47:41.205CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Classical counterparts of quantum attractors in generic dissipative systems |
| title |
Classical counterparts of quantum attractors in generic dissipative systems |
| spellingShingle |
Classical counterparts of quantum attractors in generic dissipative systems Carlo, Gabriel Gustavo QUANTUM CLASSICAL CORRESPONDENCE DISSIPATIVE SYSTEMS QUANTUM CHAOTIC ATTRACTOR TRANSPORT THEORY |
| title_short |
Classical counterparts of quantum attractors in generic dissipative systems |
| title_full |
Classical counterparts of quantum attractors in generic dissipative systems |
| title_fullStr |
Classical counterparts of quantum attractors in generic dissipative systems |
| title_full_unstemmed |
Classical counterparts of quantum attractors in generic dissipative systems |
| title_sort |
Classical counterparts of quantum attractors in generic dissipative systems |
| dc.creator.none.fl_str_mv |
Carlo, Gabriel Gustavo Ermann, Leonardo Rivas, Alejandro Mariano Fidel Spina, Maria Elena Poletti, Dario |
| author |
Carlo, Gabriel Gustavo |
| author_facet |
Carlo, Gabriel Gustavo Ermann, Leonardo Rivas, Alejandro Mariano Fidel Spina, Maria Elena Poletti, Dario |
| author_role |
author |
| author2 |
Ermann, Leonardo Rivas, Alejandro Mariano Fidel Spina, Maria Elena Poletti, Dario |
| author2_role |
author author author author |
| dc.subject.none.fl_str_mv |
QUANTUM CLASSICAL CORRESPONDENCE DISSIPATIVE SYSTEMS QUANTUM CHAOTIC ATTRACTOR TRANSPORT THEORY |
| topic |
QUANTUM CLASSICAL CORRESPONDENCE DISSIPATIVE SYSTEMS QUANTUM CHAOTIC ATTRACTOR TRANSPORT THEORY |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
In the context of dissipative systems, we show that for any quantum chaotic attractor a corresponding classical chaotic attractor can always be found. We provide a general way to locate them, rooted in the structure of the parameter space (which is typically bidimensional, accounting for the forcing strength and dissipation parameters). In cases where an approximate pointlike quantum distribution is found, it can be associated with exceptionally large regular structures. Moreover, supposedly anomalous quantum chaotic behavior can be very well reproduced by the classical dynamics plus Gaussian noise of the size of an effective Planck constant <span class="aps-inline-formula"><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" tabindex="0" style="font-size: 117%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-msub"><span class="mjx-base" style="margin-right: -0.022em;"><span id="MJXc-Node-4" class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.022em;">ℏ</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.23em; padding-right: 0.071em;"><span id="MJXc-Node-5" class="mjx-mi" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.43em; padding-bottom: 0.369em;">eff</span></span></span></span></span></span></span></span>. We give support to our conjectures by means of two paradigmatic examples of quantum chaos and transport theory. In particular, a dissipative driven system becomes fundamental in order to extend their validity to generic cases. Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina Fil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina Fil: Spina, Maria Elena. Comisión Nacional de Energía Atómica. Gerencia Química. CAC; Argentina Fil: Poletti, Dario. Singapore University of Technology and Design; Singapur |
| description |
In the context of dissipative systems, we show that for any quantum chaotic attractor a corresponding classical chaotic attractor can always be found. We provide a general way to locate them, rooted in the structure of the parameter space (which is typically bidimensional, accounting for the forcing strength and dissipation parameters). In cases where an approximate pointlike quantum distribution is found, it can be associated with exceptionally large regular structures. Moreover, supposedly anomalous quantum chaotic behavior can be very well reproduced by the classical dynamics plus Gaussian noise of the size of an effective Planck constant <span class="aps-inline-formula"><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" tabindex="0" style="font-size: 117%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-msub"><span class="mjx-base" style="margin-right: -0.022em;"><span id="MJXc-Node-4" class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.022em;">ℏ</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.23em; padding-right: 0.071em;"><span id="MJXc-Node-5" class="mjx-mi" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.43em; padding-bottom: 0.369em;">eff</span></span></span></span></span></span></span></span>. We give support to our conjectures by means of two paradigmatic examples of quantum chaos and transport theory. In particular, a dissipative driven system becomes fundamental in order to extend their validity to generic cases. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017-06 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
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publishedVersion |
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http://hdl.handle.net/11336/40973 Carlo, Gabriel Gustavo; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Poletti, Dario; Classical counterparts of quantum attractors in generic dissipative systems; American Physical Society; Physical Review E; 95; 6; 6-2017; 1-6 2470-0053 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/40973 |
| identifier_str_mv |
Carlo, Gabriel Gustavo; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Poletti, Dario; Classical counterparts of quantum attractors in generic dissipative systems; American Physical Society; Physical Review E; 95; 6; 6-2017; 1-6 2470-0053 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
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eng |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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