Quantum-speed-limit bounds in an open quantum evolution

Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these quantum-speed-limit (QSL) bounds were derived for nonunitary dynamics using different approaches. Here, we perform a systematic analysis of the most common QSL bounds in...

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Detalles Bibliográficos
Autores principales:	Toscano, Fabricio, Wisniacki, Diego A.
Publicado:	2016
Materias:	Evolution time Final state Non-Markovian Non-Markovian behavior Non-Markovian effects Quantum evolution Speed limit Systematic analysis Jaynes-Cummings model
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n5_p_Mirkin http://hdl.handle.net/20.500.12110/paper_24699926_v94_n5_p_Mirkin
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_24699926_v94_n5_p_Mirkin
record_format	dspace
spelling	paper:paper_24699926_v94_n5_p_Mirkin2023-06-08T16:36:03Z Quantum-speed-limit bounds in an open quantum evolution Toscano, Fabricio Wisniacki, Diego A. Evolution time Final state Non-Markovian Non-Markovian behavior Non-Markovian effects Quantum evolution Speed limit Systematic analysis Jaynes-Cummings model Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these quantum-speed-limit (QSL) bounds were derived for nonunitary dynamics using different approaches. Here, we perform a systematic analysis of the most common QSL bounds in the damped Jaynes-Cummings model, covering the Markovian and non-Markovian regimes. We show that only one of the analyzed bounds cleaves to the essence of the QSL theory outlined in the pioneer works of Mandelstam and Tamm and of Margolus and Levitin in the context of unitary evolutions. We also show that all QSL bounds analyzed reflect the fact that in our model non-Markovian effects speed up quantum evolution. However, it is not possible to infer Markovian or non-Markovian behavior of the dynamics by analyzing only the QSL bounds. © 2016 American Physical Society. Fil:Toscano, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n5_p_Mirkin http://hdl.handle.net/20.500.12110/paper_24699926_v94_n5_p_Mirkin
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Evolution time Final state Non-Markovian Non-Markovian behavior Non-Markovian effects Quantum evolution Speed limit Systematic analysis Jaynes-Cummings model
spellingShingle	Evolution time Final state Non-Markovian Non-Markovian behavior Non-Markovian effects Quantum evolution Speed limit Systematic analysis Jaynes-Cummings model Toscano, Fabricio Wisniacki, Diego A. Quantum-speed-limit bounds in an open quantum evolution
topic_facet	Evolution time Final state Non-Markovian Non-Markovian behavior Non-Markovian effects Quantum evolution Speed limit Systematic analysis Jaynes-Cummings model
description	Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these quantum-speed-limit (QSL) bounds were derived for nonunitary dynamics using different approaches. Here, we perform a systematic analysis of the most common QSL bounds in the damped Jaynes-Cummings model, covering the Markovian and non-Markovian regimes. We show that only one of the analyzed bounds cleaves to the essence of the QSL theory outlined in the pioneer works of Mandelstam and Tamm and of Margolus and Levitin in the context of unitary evolutions. We also show that all QSL bounds analyzed reflect the fact that in our model non-Markovian effects speed up quantum evolution. However, it is not possible to infer Markovian or non-Markovian behavior of the dynamics by analyzing only the QSL bounds. © 2016 American Physical Society.
author	Toscano, Fabricio Wisniacki, Diego A.
author_facet	Toscano, Fabricio Wisniacki, Diego A.
author_sort	Toscano, Fabricio
title	Quantum-speed-limit bounds in an open quantum evolution
title_short	Quantum-speed-limit bounds in an open quantum evolution
title_full	Quantum-speed-limit bounds in an open quantum evolution
title_fullStr	Quantum-speed-limit bounds in an open quantum evolution
title_full_unstemmed	Quantum-speed-limit bounds in an open quantum evolution
title_sort	quantum-speed-limit bounds in an open quantum evolution
publishDate	2016
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n5_p_Mirkin http://hdl.handle.net/20.500.12110/paper_24699926_v94_n5_p_Mirkin
work_keys_str_mv	AT toscanofabricio quantumspeedlimitboundsinanopenquantumevolution AT wisniackidiegoa quantumspeedlimitboundsinanopenquantumevolution
_version_	1768543583042797568

Quantum-speed-limit bounds in an open quantum evolution

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