Fast-forward problem in quantum mechanics

Shumpei Masuda*, Katsuhiro Nakamura

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We show the way to speed up the time evolution of a wave function (WF), i.e., to fast-forward the WF in microscopic and macroscopic quantum mechanics, by controlling the driving potential with resultant regulation of the additional phase of the WF, so that a target state is obtained in a shorter time. We first present a general framework of the fast-forwarding of a WF in quantum mechanics and provide an example of the fast-forward of a WF in two-dimensional (2D) free space. Then the framework of the fast-forward is extended to macroscopic quantum mechanics described by the nonlinear Schrodinger equation. We show the fast-forward of (i) transport of Bose-Einstein condensates trapped by a moving 2D harmonic potential and (ii) propagation of a soliton both in free space and through a potential barrier (: macroscopic quantum tunneling).

Original languageEnglish
Article number062108
Number of pages9
JournalPhysical Review A
Volume78
Issue number6
DOIs
Publication statusPublished - Dec 2008
MoE publication typeA1 Journal article-refereed

Keywords

  • Bose-Einstein condensation
  • quantum theory
  • Schrodinger equation
  • solitons
  • tunnelling
  • wave functions
  • BOSE-EINSTEIN CONDENSATION
  • SOLITONS
  • FIBERS
  • WAVES
  • ATOMS

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