Fast Driving of a Particle in Two Dimensions without Final Excitation

Controlling the motional state of a particle in a multidimensional space is key for fundamental science and quantum technologies. Applying a recently found two-dimensional invariant combined with linear invariants, we propose protocols to drive a particle in two dimensions so that the final harmonic...

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Detalles Bibliográficos
Autores principales: Lu, Xiao-Jing, Palmero, Mikel, Lizuain, Ion, Muga, Juan Gonzalo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689632/
https://www.ncbi.nlm.nih.gov/pubmed/36421549
http://dx.doi.org/10.3390/e24111694
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author Lu, Xiao-Jing
Palmero, Mikel
Lizuain, Ion
Muga, Juan Gonzalo
author_facet Lu, Xiao-Jing
Palmero, Mikel
Lizuain, Ion
Muga, Juan Gonzalo
author_sort Lu, Xiao-Jing
collection PubMed
description Controlling the motional state of a particle in a multidimensional space is key for fundamental science and quantum technologies. Applying a recently found two-dimensional invariant combined with linear invariants, we propose protocols to drive a particle in two dimensions so that the final harmonic trap is translated and rotated with respect to the initial one. These protocols realize a one-to-one mapping between initial and final eigenstates at some predetermined time and avoid any final excitations.
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spelling pubmed-96896322022-11-25 Fast Driving of a Particle in Two Dimensions without Final Excitation Lu, Xiao-Jing Palmero, Mikel Lizuain, Ion Muga, Juan Gonzalo Entropy (Basel) Article Controlling the motional state of a particle in a multidimensional space is key for fundamental science and quantum technologies. Applying a recently found two-dimensional invariant combined with linear invariants, we propose protocols to drive a particle in two dimensions so that the final harmonic trap is translated and rotated with respect to the initial one. These protocols realize a one-to-one mapping between initial and final eigenstates at some predetermined time and avoid any final excitations. MDPI 2022-11-19 /pmc/articles/PMC9689632/ /pubmed/36421549 http://dx.doi.org/10.3390/e24111694 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Lu, Xiao-Jing
Palmero, Mikel
Lizuain, Ion
Muga, Juan Gonzalo
Fast Driving of a Particle in Two Dimensions without Final Excitation
title Fast Driving of a Particle in Two Dimensions without Final Excitation
title_full Fast Driving of a Particle in Two Dimensions without Final Excitation
title_fullStr Fast Driving of a Particle in Two Dimensions without Final Excitation
title_full_unstemmed Fast Driving of a Particle in Two Dimensions without Final Excitation
title_short Fast Driving of a Particle in Two Dimensions without Final Excitation
title_sort fast driving of a particle in two dimensions without final excitation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689632/
https://www.ncbi.nlm.nih.gov/pubmed/36421549
http://dx.doi.org/10.3390/e24111694
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