Dispersion-free wave packets and feedback solitonic motion in controlled quantum dynamics


Demiralp M., Rabitz H.

PHYSICAL REVIEW A, vol.55, no.1, pp.673-677, 1997 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 1
  • Publication Date: 1997
  • Doi Number: 10.1103/physreva.55.673
  • Title of Journal : PHYSICAL REVIEW A
  • Page Numbers: pp.673-677

Abstract

This paper considers the feasibility of creating dispersion-free solitary quantum-mechanical wave packets. The analysis is carried out within a general framework of quantum-optimal control theory. A key to the realization of solitary quantum wave packets is the ability to create traveling wave potentials U(x - nu t) with coordinated space and time dependence where nu is a characteristic speed. As an illustration, the case of an atom translating in a designed optical trap is considered. Three examples are treated within this framework: (A) the motion of a dispersion-free traveling bound state, (B) feedback-stabilized solitonic motion, and (C) feedback-stabilized solitonic motion in the presence of auxiliary physical objectives. The quantum solitons of (B) and (C) satisfy a nonlinear Schrodinger-type equation with laboratory feedback in the form of an observation of the probability density. This feedback is essential for maintaining the solitonic-type motion. Some generalizations and potential applications of these concepts are also discussed.