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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American Physical Society
2021
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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) |
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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 |
work_keys_str_mv |
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