2017
DOI: 10.1038/s41598-017-05823-x
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Fast atom transport and launching in a nonrigid trap

Abstract: We study the shuttling of an atom in a trap with controllable position and frequency. Using invariant-based inverse engineering, protocols in which the trap is simultaneously displaced and expanded are proposed to speed up transport between stationary trap locations as well as launching processes with narrow final-velocity distributions. Depending on the physical constraints imposed, either simultaneous or sequential approaches may be faster. We consider first a perfectly harmonic trap, and then extend the tre… Show more

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Cited by 21 publications
(23 citation statements)
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“…In the second method, in order to comply with all of the eight boundary conditions, we use a polynomial trajectory of the seventh order, written in terms of the normalized time as: This path for the atoms respects the invariant necessitated boundary conditions and its associated trap trajectory results with zero velocities at motion ends, so it is feasible to be implemented experimentally. The septic polynomial was also discussed by Tobalina et al in the context of launching atoms to a final velocity [34]. The trap trajectory is then given by (9),…”
Section: Methods Ii: Septic Polynomial Trajectorymentioning
confidence: 98%
See 1 more Smart Citation
“…In the second method, in order to comply with all of the eight boundary conditions, we use a polynomial trajectory of the seventh order, written in terms of the normalized time as: This path for the atoms respects the invariant necessitated boundary conditions and its associated trap trajectory results with zero velocities at motion ends, so it is feasible to be implemented experimentally. The septic polynomial was also discussed by Tobalina et al in the context of launching atoms to a final velocity [34]. The trap trajectory is then given by (9),…”
Section: Methods Ii: Septic Polynomial Trajectorymentioning
confidence: 98%
“…Ultracold atoms can be trapped in the vicinity of potential minimum, which for the lowest energy optical mode, namely a Gaussian beam, is at the focal point ('waist'). Rapid changes may be desired in the trap shape [12,21,22,24,32] or position [15,16,18,19,[32][33][34]. Optical transfer of ultracold atoms can be used to move atoms between different sites or implement quantum gates [35][36][37].…”
Section: Introductionmentioning
confidence: 99%
“…More general cases for multiparticle systems are discussed in the following subsection. Tobalina et al (2017) used the invariants to design shortcuts to adiabaticity for nonrigid driven transport and to launch particles in harmonic and general potentials. Compared to rigid transport, nonrigid transport requieres a more demanding manipulation, but it also provides a wider range of control opportunities, for example to achieve narrow velocity distributions in a launching process, suitable for accurate ion implantation or lowenergy scattering experiments.…”
Section: Expansions Invariant Based Inverse Engineering Formentioning
confidence: 99%
“…Different trapping configurations, such us a non-rigid harmonic potential or a double well potential have been examined for more complex transport protocols, e.g. in [35], but these generalizations are not needed for our current purpose.…”
Section: Compensating Force Approach For a Transport Processmentioning
confidence: 99%