Demonstration of Quantum Brachistochrones between Distant States of an Atom

Transforming an initial quantum state into a target state through the fastest possible route—a quantum brachistochrone—is a fundamental challenge for many technologies based on quantum mechanics. In two-level systems, the quantum brachistochrone solutions are long known. These solutions, however, ar...

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Autores principales: Manolo R. Lam, Natalie Peter, Thorsten Groh, Wolfgang Alt, Carsten Robens, Dieter Meschede, Antonio Negretti, Simone Montangero, Tommaso Calarco, Andrea Alberti
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Publicado: American Physical Society 2021
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spelling oai:doaj.org-article:593216d2e397407f9f6b798c6c725ffe2021-12-02T14:02:58ZDemonstration of Quantum Brachistochrones between Distant States of an Atom10.1103/PhysRevX.11.0110352160-3308https://doaj.org/article/593216d2e397407f9f6b798c6c725ffe2021-02-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.011035http://doi.org/10.1103/PhysRevX.11.011035https://doaj.org/toc/2160-3308Transforming an initial quantum state into a target state through the fastest possible route—a quantum brachistochrone—is a fundamental challenge for many technologies based on quantum mechanics. In two-level systems, the quantum brachistochrone solutions are long known. These solutions, however, are not applicable to larger systems, especially when the target state cannot be reached through a local transformation. Here, we demonstrate fast coherent transport of an atomic wave packet over a distance of 15 times its size—a paradigmatic case of quantum processes going beyond the two-level system. Our measurements of the transport fidelity reveal the existence of a minimum duration—a quantum speed limit—for the coherent splitting and recombination of matter waves. We obtain physical insight into this limit by relying on a geometric interpretation of quantum state dynamics. These results shed light on a fundamental limit of quantum state dynamics and are expected to find relevant applications in quantum sensing and quantum computing.Manolo R. LamNatalie PeterThorsten GrohWolfgang AltCarsten RobensDieter MeschedeAntonio NegrettiSimone MontangeroTommaso CalarcoAndrea AlbertiAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 1, p 011035 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Manolo R. Lam
Natalie Peter
Thorsten Groh
Wolfgang Alt
Carsten Robens
Dieter Meschede
Antonio Negretti
Simone Montangero
Tommaso Calarco
Andrea Alberti
Demonstration of Quantum Brachistochrones between Distant States of an Atom
description Transforming an initial quantum state into a target state through the fastest possible route—a quantum brachistochrone—is a fundamental challenge for many technologies based on quantum mechanics. In two-level systems, the quantum brachistochrone solutions are long known. These solutions, however, are not applicable to larger systems, especially when the target state cannot be reached through a local transformation. Here, we demonstrate fast coherent transport of an atomic wave packet over a distance of 15 times its size—a paradigmatic case of quantum processes going beyond the two-level system. Our measurements of the transport fidelity reveal the existence of a minimum duration—a quantum speed limit—for the coherent splitting and recombination of matter waves. We obtain physical insight into this limit by relying on a geometric interpretation of quantum state dynamics. These results shed light on a fundamental limit of quantum state dynamics and are expected to find relevant applications in quantum sensing and quantum computing.
format article
author Manolo R. Lam
Natalie Peter
Thorsten Groh
Wolfgang Alt
Carsten Robens
Dieter Meschede
Antonio Negretti
Simone Montangero
Tommaso Calarco
Andrea Alberti
author_facet Manolo R. Lam
Natalie Peter
Thorsten Groh
Wolfgang Alt
Carsten Robens
Dieter Meschede
Antonio Negretti
Simone Montangero
Tommaso Calarco
Andrea Alberti
author_sort Manolo R. Lam
title Demonstration of Quantum Brachistochrones between Distant States of an Atom
title_short Demonstration of Quantum Brachistochrones between Distant States of an Atom
title_full Demonstration of Quantum Brachistochrones between Distant States of an Atom
title_fullStr Demonstration of Quantum Brachistochrones between Distant States of an Atom
title_full_unstemmed Demonstration of Quantum Brachistochrones between Distant States of an Atom
title_sort demonstration of quantum brachistochrones between distant states of an atom
publisher American Physical Society
publishDate 2021
url https://doaj.org/article/593216d2e397407f9f6b798c6c725ffe
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