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Entropy
Volume 24
Issue 11
10.3390/e24111694
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Article

Fast Driving of a Particle in Two Dimensions without Final Excitation

by
Xiao-Jing Lu
1,2,*,
Mikel Palmero
3,4,
Ion Lizuain
4,5 and
Juan Gonzalo Muga
2,4
1
School of Science, Xuchang University, Xuchang 461000, China
2
Departamento de Química Física, University of the Basque Country UPV/EHU, Apdo. 644, 48080 Bilbao, Spain
3
Department of Applied Physics, University of the Basque Country UPV/EHU, 48013 Bilbao, Spain
4
EHU Quantum Center, University of the Basque Country UPV/EHU, 48940 Leioa, Spain
5
Department of Applied Mathematics, University of the Basque Country UPV/EHU, Plaza Europa 1, 20018 Donostia-San Sebastián, Spain
*
Author to whom correspondence should be addressed.
Entropy 2022, 24(11), 1694; https://doi.org/10.3390/e24111694
Submission received: 13 October 2022 / Revised: 10 November 2022 / Accepted: 15 November 2022 / Published: 19 November 2022
(This article belongs to the Special Issue Shortcuts to Adiabaticity II)
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Abstract

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.
Keywords: shortcuts to adiabaticity; trap rotations; linear invariants shortcuts to adiabaticity; trap rotations; linear invariants

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MDPI and ACS Style

Lu, X.-J.; Palmero, M.; Lizuain, I.; Muga, J.G. Fast Driving of a Particle in Two Dimensions without Final Excitation. Entropy 2022, 24, 1694. https://doi.org/10.3390/e24111694

AMA Style

Lu X-J, Palmero M, Lizuain I, Muga JG. Fast Driving of a Particle in Two Dimensions without Final Excitation. Entropy. 2022; 24(11):1694. https://doi.org/10.3390/e24111694

Chicago/Turabian Style

Lu, Xiao-Jing, Mikel Palmero, Ion Lizuain, and Juan Gonzalo Muga. 2022. "Fast Driving of a Particle in Two Dimensions without Final Excitation" Entropy 24, no. 11: 1694. https://doi.org/10.3390/e24111694

APA Style

Lu, X.-J., Palmero, M., Lizuain, I., & Muga, J. G. (2022). Fast Driving of a Particle in Two Dimensions without Final Excitation. Entropy, 24(11), 1694. https://doi.org/10.3390/e24111694

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