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Article overview
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Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes | Georg Jäger
; Daniel Reich
; Michael H. Goerz
; Christiane P. Koch
; Ulrich Hohenester
; | Date: |
10 Sep 2014 | Abstract: | We study optimal quantum control of the dynamics of trapped Bose-Einstein
condensates: The targets are to split a condensate, residing initially in a
single well, into a double well, without inducing excitation; and to excite a
condensate from the ground to the first excited state of a single well. The
condensate is described in the mean-field approximation of the Gross-Pitaevskii
equation. We compare two optimization approaches in terms of their performance
and ease of use, namely gradient ascent pulse engineering (GRAPE) and Krotov’s
method. Both approaches are derived from the variational principle but differ
in the way the control is updated, additional costs are accounted for, and
second order derivative information can be included. We find that GRAPE
produces smoother control fields and works in a black-box manner, whereas
Krotov with a suitably chosen step size parameter converges faster but can
produce sharp features in the control fields. | Source: | arXiv, 1409.2976 | Services: | Forum | Review | PDF | Favorites |
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