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
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 |
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Non-Markovian Optimal Sideband Cooling Enfriamiento Cooling Cadena de Márkov Microtecnología http://vocabularies.unesco.org/thesaurus/concept6561 |
| title_short |
Non-Markovian Optimal Sideband Cooling |
| title_full |
Non-Markovian Optimal Sideband Cooling |
| title_fullStr |
Non-Markovian Optimal Sideband Cooling |
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Non-Markovian Optimal Sideband Cooling |
| title_sort |
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.subject.unesco.none.fl_str_mv |
Enfriamiento Cooling |
| topic |
Enfriamiento Cooling Cadena de Márkov Microtecnología http://vocabularies.unesco.org/thesaurus/concept6561 |
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Cadena de Márkov Microtecnología |
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http://vocabularies.unesco.org/thesaurus/concept6561 |
| description |
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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0094-243X 10.1063/1.5031696 1551-7616 |
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http://hdl.handle.net/10495/22158 |
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eng |
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eng |
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AIP Conf Proc |
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American Institute of Physics |
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Grupo de Física Atómica y Molecular Grupo de Física Teórica y Matemática Aplicada |
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Maryland, Estados Unidos |
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Universidad de Antioquia |
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Triana Galvis, Johan FabiánPachón Contreras, Leonardo Augusto2021-09-03T23:48:30Z2021-09-03T23:48:30Z20180094-243Xhttp://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 PhysicsGrupo de Física Atómica y MolecularGrupo de Física Teórica y Matemática AplicadaMaryland, Estados Unidosinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-nd/4.0/Non-Markovian Optimal Sideband CoolingEnfriamientoCoolingCadena de MárkovMicrotecnologíahttp://vocabularies.unesco.org/thesaurus/concept6561AIP Conf ProcAIP Conference Proceedings030004-1030004-201950030004ORIGINALTrianaJohan_2018_MarkovianOptimalSideband.pdfTrianaJohan_2018_MarkovianOptimalSideband.pdfArtículo de investigaciónapplication/pdf2013227http://bibliotecadigital.udea.edu.co/bitstream/10495/22158/1/TrianaJohan_2018_MarkovianOptimalSideband.pdf50954614fb71e1291dc18aebfccf647cMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823http://bibliotecadigital.udea.edu.co/bitstream/10495/22158/2/license_rdfb88b088d9957e670ce3b3fbe2eedbc13MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/22158/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/22158oai:bibliotecadigital.udea.edu.co:10495/221582021-09-03 18:49:24.475Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |