• Open Access

Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks

Léonce Dupays, David C. Spierings, Aephraim M. Steinberg, and Adolfo del Campo
Phys. Rev. Research 3, 033261 – Published 17 September 2021

Abstract

Delta-kick cooling (DKC) is used to compress the momentum distribution of ultracold quantum matter. It combines expansion dynamics with the use of kick pulses, designed via classical methods, that bring the system to rest. We introduce an exact approach to DKC for arbitrary scale-invariant dynamics of quantum gases, lifting the original restrictions to free evolution and noninteracting systems, to account for the control of atomic clouds in a time-dependent harmonic trap that can be either repulsive (inverted) or confining. We show that DKC assisted by a repulsive potential outperforms the conventional scheme, and that sudden trap-frequency quenches combined with DKC are equivalent to time-optimal bang-bang protocols. We further show that reverse engineering of the scale-invariant dynamics under smooth trap-frequency modulations can be combined with DKC to introduce a new class of shortcuts to adiabaticity assisted by kicks.

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  • Received 15 April 2021
  • Accepted 27 July 2021
  • Corrected 28 September 2021

DOI:https://doi.org/10.1103/PhysRevResearch.3.033261

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Corrections

28 September 2021

Correction: Equation (14) contained an error and has been fixed.

Authors & Affiliations

Léonce Dupays1,2,*, David C. Spierings3, Aephraim M. Steinberg3, and Adolfo del Campo1,2,†

  • 1Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, G. D. Luxembourg
  • 2Donostia International Physics Center, E-20018 San Sebastián, Spain
  • 3Centre for Quantum Information and Quantum Control, Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada

  • *leonce.dupays@uni.lu
  • adolfo.delcampo@uni.lu

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Vol. 3, Iss. 3 — September - November 2021

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