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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Autores principales:	Mirkin, N., Toscano, F., Wisniacki, D.A.
Formato:	JOUR
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:	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	todo:paper_24699926_v94_n5_p_Mirkin
record_format	dspace
spelling	todo:paper_24699926_v94_n5_p_Mirkin2023-10-03T16:41:33Z Quantum-speed-limit bounds in an open quantum evolution Mirkin, N. Toscano, F. Wisniacki, D.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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Mirkin, N. Toscano, F. Wisniacki, D.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.
format	JOUR
author	Mirkin, N. Toscano, F. Wisniacki, D.A.
author_facet	Mirkin, N. Toscano, F. Wisniacki, D.A.
author_sort	Mirkin, N.
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
url	http://hdl.handle.net/20.500.12110/paper_24699926_v94_n5_p_Mirkin
work_keys_str_mv	AT mirkinn quantumspeedlimitboundsinanopenquantumevolution AT toscanof quantumspeedlimitboundsinanopenquantumevolution AT wisniackida quantumspeedlimitboundsinanopenquantumevolution
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Quantum-speed-limit bounds in an open quantum evolution

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