Acceleration of adiabatic quantum dynamics in electromagnetic fields

Shumpei Masuda*, Katsuhiro Nakamura

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We show a method to accelerate quantum adiabatic dynamics of wave functions under electromagnetic field (EMF) by developing the preceding theory [Masuda and Nakamura, Proc. R. Soc. London Ser. A 466, 1135 (2010)]. Treating the orbital dynamics of a charged particle in EMF, we derive the driving field which accelerates quantum adiabatic dynamics in order to obtain the final adiabatic states in any desired short time. The scheme is consolidated by describing a way to overcome possible singularities in both the additional phase and driving potential due to nodes proper to wave functions under EMF. As explicit examples, we exhibit the fast forward of adiabatic squeezing and transport of excited Landau states with nonzero angular momentum, obtaining the result consistent with the transitionless quantum driving applied to the orbital dynamics in EMF.

Original languageEnglish
Article number043434
Number of pages11
JournalPhysical Review A
Volume84
Issue number4
DOIs
Publication statusPublished - 31 Oct 2011
MoE publication typeA1 Journal article-refereed

Keywords

  • BOSE-EINSTEIN CONDENSATION
  • PHASE
  • ATOMS

Cite this