Fundamental Limitation on Cooling under Classical Noise

Abstract We prove a general theorem that the action of arbitrary classical noise or random unitary channels can not increase the maximum population of any eigenstate of an open quantum system, assuming initial system-environment factorization. Such factorization is the conventional starting point fo...

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Autores principales:	Jun Jing, Ravindra W. Chhajlany, Lian-Ao Wu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c3da1a7c0ff349b7b681ffcc32643674
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spelling	oai:doaj.org-article:c3da1a7c0ff349b7b681ffcc326436742021-12-02T16:06:55ZFundamental Limitation on Cooling under Classical Noise10.1038/s41598-017-00194-92045-2322https://doaj.org/article/c3da1a7c0ff349b7b681ffcc326436742017-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00194-9https://doaj.org/toc/2045-2322Abstract We prove a general theorem that the action of arbitrary classical noise or random unitary channels can not increase the maximum population of any eigenstate of an open quantum system, assuming initial system-environment factorization. Such factorization is the conventional starting point for descriptions of open system dynamics. In particular, our theorem implies that a system can not be ideally cooled down unless it is initially prepared as a pure state. The resultant inequality rigorously constrains the possibility of cooling the system solely through temporal manipulation, i.e., dynamical control over the system Hamiltonian without resorting to measurement based cooling methods. It is a substantial generalization of the no-go theorem claiming that the exact ground state cooling is forbidden given initial system-thermal bath factorization, while here we prove even cooling is impossible under classical noise.Jun JingRavindra W. ChhajlanyLian-Ao WuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jun Jing Ravindra W. Chhajlany Lian-Ao Wu Fundamental Limitation on Cooling under Classical Noise
description	Abstract We prove a general theorem that the action of arbitrary classical noise or random unitary channels can not increase the maximum population of any eigenstate of an open quantum system, assuming initial system-environment factorization. Such factorization is the conventional starting point for descriptions of open system dynamics. In particular, our theorem implies that a system can not be ideally cooled down unless it is initially prepared as a pure state. The resultant inequality rigorously constrains the possibility of cooling the system solely through temporal manipulation, i.e., dynamical control over the system Hamiltonian without resorting to measurement based cooling methods. It is a substantial generalization of the no-go theorem claiming that the exact ground state cooling is forbidden given initial system-thermal bath factorization, while here we prove even cooling is impossible under classical noise.
format	article
author	Jun Jing Ravindra W. Chhajlany Lian-Ao Wu
author_facet	Jun Jing Ravindra W. Chhajlany Lian-Ao Wu
author_sort	Jun Jing
title	Fundamental Limitation on Cooling under Classical Noise
title_short	Fundamental Limitation on Cooling under Classical Noise
title_full	Fundamental Limitation on Cooling under Classical Noise
title_fullStr	Fundamental Limitation on Cooling under Classical Noise
title_full_unstemmed	Fundamental Limitation on Cooling under Classical Noise
title_sort	fundamental limitation on cooling under classical noise
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/c3da1a7c0ff349b7b681ffcc32643674
work_keys_str_mv	AT junjing fundamentallimitationoncoolingunderclassicalnoise AT ravindrawchhajlany fundamentallimitationoncoolingunderclassicalnoise AT lianaowu fundamentallimitationoncoolingunderclassicalnoise
_version_	1718384803898720256

Fundamental Limitation on Cooling under Classical Noise

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