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

Metin Demiralp, Herschel Rabitz

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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-νt) with coordinated space and time dependence where ν 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 Schrödinger-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.

Original languageEnglish (US)
Pages (from-to)673-677
Number of pages5
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume55
Issue number1
DOIs
StatePublished - Jan 1 1997

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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