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...

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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/
Description
Summary: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.