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2014Author
Fürst, H. A.Goerz, Michael H.Poschinger, U. G.Murphy, M.Montangero, S.Calarco, T.Schmidt-Kaler, F.Singer, K.Koch, Christiane P.Subject
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Artikel (Publikationen im Open Access gefördert durch die UB)
Controlling the transport of an ion: classical and quantum mechanical solutions
Abstract
The accurate transport of an ion over macroscopic distances represents a challenging control problem due to the different length and time scales that enter and the experimental limitations on the controls that need to be accounted for. Here, we investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as analytical solutions derived from invariant based inverse engineering and geometric optimal control. The applicability of each of the control methods depends on the length and time scales of the transport. Our comprehensive set of tools allows us make a number of observations. We find that accurate shuttling can be performed with operation times below the trap oscillation period. The maximum speed is limited by the maximum acceleration that can be exerted on the ion. When using controls obtained from classical dynamics for wavepacket propagation, wavepacket squeezing is the only quantum effect that comes into play for a large range of trapping parameters. We show that this can be corrected by a compensating force derived from invariant based inverse engineering, without a significant increase in the operation time.
Citation
In: New journal of physics. - London : IOP, 2014, 16, 075007, 1-22 p.Sponsorship
Gefördert durch den Publikationsfonds der Universität KasselCollections
Publikationen (Theoretische Physik III - Quantendynamik und -kontrolle)Artikel (Publikationen im Open Access gefördert durch die UB)
Citation
@article{urn:nbn:de:hebis:34-2014103146298,
author={Fürst, H. A. and Goerz, Michael H. and Poschinger, U. G. and Murphy, M. and Montangero, S. and Calarco, T. and Schmidt-Kaler, F. and Singer, K. and Koch, Christiane P.},
title={Controlling the transport of an ion: classical and quantum mechanical solutions},
journal={New Journal of Physics},
year={2014}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2014$n2014 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2014103146298 3000 Fürst, H. A. 3010 Goerz, Michael H. 3010 Poschinger, U. G. 3010 Murphy, M. 3010 Montangero, S. 3010 Calarco, T. 3010 Schmidt-Kaler, F. 3010 Singer, K. 3010 Koch, Christiane P. 4000 Controlling the transport of an ion: classical and quantum mechanical solutions / Fürst, H. A. 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2014103146298=x R 4204 \$dAufsatz 4170 7136 ##0##urn:nbn:de:hebis:34-2014103146298
2014-10-31T11:53:02Z 2014-10-31T11:53:02Z 2014 1367-2630 urn:nbn:de:hebis:34-2014103146298 http://hdl.handle.net/123456789/2014103146298 Gefördert durch den Publikationsfonds der Universität Kassel eng IOP Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Coherent control Ion traps Quantum information Optimal control theory 530 Controlling the transport of an ion: classical and quantum mechanical solutions Aufsatz The accurate transport of an ion over macroscopic distances represents a challenging control problem due to the different length and time scales that enter and the experimental limitations on the controls that need to be accounted for. Here, we investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as analytical solutions derived from invariant based inverse engineering and geometric optimal control. The applicability of each of the control methods depends on the length and time scales of the transport. Our comprehensive set of tools allows us make a number of observations. We find that accurate shuttling can be performed with operation times below the trap oscillation period. The maximum speed is limited by the maximum acceleration that can be exerted on the ion. When using controls obtained from classical dynamics for wavepacket propagation, wavepacket squeezing is the only quantum effect that comes into play for a large range of trapping parameters. We show that this can be corrected by a compensating force derived from invariant based inverse engineering, without a significant increase in the operation time. open access In: New journal of physics. - London : IOP, 2014, 16, 075007, 1-22 p. Fürst, H. A. Goerz, Michael H. Poschinger, U. G. Murphy, M. Montangero, S. Calarco, T. Schmidt-Kaler, F. Singer, K. Koch, Christiane P. London doi:10.1088/1367-2630/16/7/075007 75007 New Journal of Physics S. 1-22 16
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