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Fast transport of Bose–Einstein condensates in anharmonic traps

We present a method to transport Bose–Einstein condensates (BECs) in anharmonic traps and in the presence of atom–atom interactions in short times without residual excitation. Using a combination of a variational approach and inverse engineering methods, we derive a set of Ermakov-like equations tha...

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Detalles Bibliográficos
Autores principales: Li, Jing, Chen, Xi, Ruschhaupt, Andreas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9653254/
https://www.ncbi.nlm.nih.gov/pubmed/36335948
http://dx.doi.org/10.1098/rsta.2021.0280
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author Li, Jing
Chen, Xi
Ruschhaupt, Andreas
author_facet Li, Jing
Chen, Xi
Ruschhaupt, Andreas
author_sort Li, Jing
collection PubMed
description We present a method to transport Bose–Einstein condensates (BECs) in anharmonic traps and in the presence of atom–atom interactions in short times without residual excitation. Using a combination of a variational approach and inverse engineering methods, we derive a set of Ermakov-like equations that take into account the coupling between the centre of mass motion and the breathing mode. By an appropriate inverse engineering strategy of those equations, we then design the trap trajectory to achieve the desired boundary conditions. Numerical examples for cubic or quartic anharmonicities are provided for fast and high-fidelity transport of BECs. Potential applications are atom interferometry and quantum information processing. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’.
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spelling pubmed-96532542022-11-22 Fast transport of Bose–Einstein condensates in anharmonic traps Li, Jing Chen, Xi Ruschhaupt, Andreas Philos Trans A Math Phys Eng Sci Articles We present a method to transport Bose–Einstein condensates (BECs) in anharmonic traps and in the presence of atom–atom interactions in short times without residual excitation. Using a combination of a variational approach and inverse engineering methods, we derive a set of Ermakov-like equations that take into account the coupling between the centre of mass motion and the breathing mode. By an appropriate inverse engineering strategy of those equations, we then design the trap trajectory to achieve the desired boundary conditions. Numerical examples for cubic or quartic anharmonicities are provided for fast and high-fidelity transport of BECs. Potential applications are atom interferometry and quantum information processing. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’. The Royal Society 2022-12-26 2022-11-07 /pmc/articles/PMC9653254/ /pubmed/36335948 http://dx.doi.org/10.1098/rsta.2021.0280 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Articles
Li, Jing
Chen, Xi
Ruschhaupt, Andreas
Fast transport of Bose–Einstein condensates in anharmonic traps
title Fast transport of Bose–Einstein condensates in anharmonic traps
title_full Fast transport of Bose–Einstein condensates in anharmonic traps
title_fullStr Fast transport of Bose–Einstein condensates in anharmonic traps
title_full_unstemmed Fast transport of Bose–Einstein condensates in anharmonic traps
title_short Fast transport of Bose–Einstein condensates in anharmonic traps
title_sort fast transport of bose–einstein condensates in anharmonic traps
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9653254/
https://www.ncbi.nlm.nih.gov/pubmed/36335948
http://dx.doi.org/10.1098/rsta.2021.0280
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