Non-Markovian Optimal Sideband Cooling
ABSTRACT: Optimal control theory is applied to sideband cooling of nano-mechanical resonators. The formulation described here makes use of exact results derived by means of the path-integral approach of quantum dynamics, so that no approximation is invoked. It is demonstrated that the intricate inte...
- Autores:
-
Triana Galvis, Johan Fabián
Pachón Contreras, Leonardo Augusto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2018
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/22158
- Acceso en línea:
- http://hdl.handle.net/10495/22158
- Palabra clave:
- Enfriamiento
Cooling
Cadena de Márkov
Microtecnología
Banda lateral
http://vocabularies.unesco.org/thesaurus/concept6561
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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Non-Markovian Optimal Sideband Cooling |
| title |
Non-Markovian Optimal Sideband Cooling |
| spellingShingle |
Non-Markovian Optimal Sideband Cooling Enfriamiento Cooling Cadena de Márkov Microtecnología Banda lateral http://vocabularies.unesco.org/thesaurus/concept6561 |
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Non-Markovian Optimal Sideband Cooling |
| title_full |
Non-Markovian Optimal Sideband Cooling |
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Non-Markovian Optimal Sideband Cooling |
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Non-Markovian Optimal Sideband Cooling |
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Non-Markovian Optimal Sideband Cooling |
| dc.creator.fl_str_mv |
Triana Galvis, Johan Fabián Pachón Contreras, Leonardo Augusto |
| dc.contributor.author.none.fl_str_mv |
Triana Galvis, Johan Fabián Pachón Contreras, Leonardo Augusto |
| dc.contributor.researchgroup.spa.fl_str_mv |
Grupo de Física Atómica y Molecular Grupo de Física Teórica y Matemática Aplicada |
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Enfriamiento Cooling |
| topic |
Enfriamiento Cooling Cadena de Márkov Microtecnología Banda lateral http://vocabularies.unesco.org/thesaurus/concept6561 |
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Cadena de Márkov Microtecnología Banda lateral |
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http://vocabularies.unesco.org/thesaurus/concept6561 |
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ABSTRACT: Optimal control theory is applied to sideband cooling of nano-mechanical resonators. The formulation described here makes use of exact results derived by means of the path-integral approach of quantum dynamics, so that no approximation is invoked. It is demonstrated that the intricate interplay between time-dependent fields and structured thermal bath may lead to improve results of the sideband cooling by an order of magnitude. Cooling is quantified by means of the mean number of phonons of the mechanical modes as well as by the von Neumann entropy. Potencial extension to non-linear systems, by means of semiclassical methods, is briefly discussed. |
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2018 |
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2018 |
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2021-09-03T23:48:30Z |
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2021-09-03T23:48:30Z |
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Artículo de investigación |
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0094-243X |
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http://hdl.handle.net/10495/22158 |
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10.1063/1.5031696 |
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1551-7616 |
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eng |
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eng |
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AIP Conf Proc |
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21 |
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30004 |
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1 |
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1950 |
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AIP Conference Proceedings |
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American Institute of Physics |
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Maryland, Estados Unidos |
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Triana Galvis, Johan FabiánPachón Contreras, Leonardo AugustoGrupo de Física Atómica y MolecularGrupo de Física Teórica y Matemática Aplicada2021-09-03T23:48:30Z2021-09-03T23:48:30Z20180094-243Xhttp://hdl.handle.net/10495/2215810.1063/1.50316961551-7616ABSTRACT: Optimal control theory is applied to sideband cooling of nano-mechanical resonators. The formulation described here makes use of exact results derived by means of the path-integral approach of quantum dynamics, so that no approximation is invoked. It is demonstrated that the intricate interplay between time-dependent fields and structured thermal bath may lead to improve results of the sideband cooling by an order of magnitude. Cooling is quantified by means of the mean number of phonons of the mechanical modes as well as by the von Neumann entropy. Potencial extension to non-linear systems, by means of semiclassical methods, is briefly discussed.COL0008441COL019018820application/pdfengAmerican Institute of PhysicsMaryland, Estados Unidoshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Non-Markovian Optimal Sideband CoolingArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionEnfriamientoCoolingCadena de MárkovMicrotecnologíaBanda lateralhttp://vocabularies.unesco.org/thesaurus/concept6561AIP Conf Proc213000411950AIP Conference ProceedingsPublicationORIGINALTrianaJohan_2018_MarkovianOptimalSideband.pdfTrianaJohan_2018_MarkovianOptimalSideband.pdfArtículo de investigaciónapplication/pdf2013227https://bibliotecadigital.udea.edu.co/bitstreams/7a34c0c7-ced4-41bc-8816-62598e92f181/download50954614fb71e1291dc18aebfccf647cMD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstreams/17416fc0-894b-4aa5-97e5-fdaec84603be/downloadb88b088d9957e670ce3b3fbe2eedbc13MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/11489099-6a5b-4b74-aac8-baeebb080e00/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTTrianaJohan_2018_MarkovianOptimalSideband.pdf.txtTrianaJohan_2018_MarkovianOptimalSideband.pdf.txtExtracted texttext/plain72337https://bibliotecadigital.udea.edu.co/bitstreams/4aef8e7c-8399-4943-b453-22d6514d6ed1/download90cd3faf87ce7b16463c6a460792e35bMD54falseAnonymousREADTHUMBNAILTrianaJohan_2018_MarkovianOptimalSideband.pdf.jpgTrianaJohan_2018_MarkovianOptimalSideband.pdf.jpgGenerated Thumbnailimage/jpeg11757https://bibliotecadigital.udea.edu.co/bitstreams/f26f139c-b24b-4ed4-adfd-371fe6206d05/downloadcb6216b9268b1f9731d98fa4b8311f97MD55falseAnonymousREAD10495/22158oai:bibliotecadigital.udea.edu.co:10495/221582025-03-26 18:35:50.53http://creativecommons.org/licenses/by-nc-nd/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |