Ion oscillation frequencies in a combined trap

D. J. Bate, K. Dholakia, R. C. Thompson, D. C. Wilson

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

A combined trap is a quadrupole trap to which the fields of both the Paul and the Penning traps are applied. In this paper, equations of motion for ions confined in a combined trap are derived from first principles. The equations of motion are shown to give well-understood solutions for the Paul and Penning traps in the appropriate cases before they are solved to yield the axial and radial oscillation frequencies for ions in a combined trap. The dependence of these oscillation frequencies on the applied fields is investigated. The theoretical predictions were tested in an ion trap at Imperial College using very small numbers of ions, in some cases single ions. The single-ion cases were identified by the observation of quantum jumps in the fluorescence, which is characteristic of a single ion under these conditions. The agreement between the theory and experiment is good.

Original languageEnglish
Pages (from-to)305-316
Number of pages12
JournalJournal of Modern Optics
Volume39
Issue number2
DOIs
Publication statusPublished - 1992 Feb

Fingerprint

plasma oscillations
traps
ions
equations of motion
oscillations
quadrupoles
fluorescence
predictions

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Bate, D. J. ; Dholakia, K. ; Thompson, R. C. ; Wilson, D. C. / Ion oscillation frequencies in a combined trap. In: Journal of Modern Optics. 1992 ; Vol. 39, No. 2. pp. 305-316.
@article{3d75431431584337821f5c3a49151025,
title = "Ion oscillation frequencies in a combined trap",
abstract = "A combined trap is a quadrupole trap to which the fields of both the Paul and the Penning traps are applied. In this paper, equations of motion for ions confined in a combined trap are derived from first principles. The equations of motion are shown to give well-understood solutions for the Paul and Penning traps in the appropriate cases before they are solved to yield the axial and radial oscillation frequencies for ions in a combined trap. The dependence of these oscillation frequencies on the applied fields is investigated. The theoretical predictions were tested in an ion trap at Imperial College using very small numbers of ions, in some cases single ions. The single-ion cases were identified by the observation of quantum jumps in the fluorescence, which is characteristic of a single ion under these conditions. The agreement between the theory and experiment is good.",
author = "Bate, {D. J.} and K. Dholakia and Thompson, {R. C.} and Wilson, {D. C.}",
year = "1992",
month = "2",
doi = "10.1080/09500349214550301",
language = "English",
volume = "39",
pages = "305--316",
journal = "Journal of Modern Optics",
issn = "0950-0340",
publisher = "Taylor and Francis Ltd.",
number = "2",

}

Ion oscillation frequencies in a combined trap. / Bate, D. J.; Dholakia, K.; Thompson, R. C.; Wilson, D. C.

In: Journal of Modern Optics, Vol. 39, No. 2, 02.1992, p. 305-316.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Ion oscillation frequencies in a combined trap

AU - Bate, D. J.

AU - Dholakia, K.

AU - Thompson, R. C.

AU - Wilson, D. C.

PY - 1992/2

Y1 - 1992/2

N2 - A combined trap is a quadrupole trap to which the fields of both the Paul and the Penning traps are applied. In this paper, equations of motion for ions confined in a combined trap are derived from first principles. The equations of motion are shown to give well-understood solutions for the Paul and Penning traps in the appropriate cases before they are solved to yield the axial and radial oscillation frequencies for ions in a combined trap. The dependence of these oscillation frequencies on the applied fields is investigated. The theoretical predictions were tested in an ion trap at Imperial College using very small numbers of ions, in some cases single ions. The single-ion cases were identified by the observation of quantum jumps in the fluorescence, which is characteristic of a single ion under these conditions. The agreement between the theory and experiment is good.

AB - A combined trap is a quadrupole trap to which the fields of both the Paul and the Penning traps are applied. In this paper, equations of motion for ions confined in a combined trap are derived from first principles. The equations of motion are shown to give well-understood solutions for the Paul and Penning traps in the appropriate cases before they are solved to yield the axial and radial oscillation frequencies for ions in a combined trap. The dependence of these oscillation frequencies on the applied fields is investigated. The theoretical predictions were tested in an ion trap at Imperial College using very small numbers of ions, in some cases single ions. The single-ion cases were identified by the observation of quantum jumps in the fluorescence, which is characteristic of a single ion under these conditions. The agreement between the theory and experiment is good.

UR - http://www.scopus.com/inward/record.url?scp=0000000626&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000000626&partnerID=8YFLogxK

U2 - 10.1080/09500349214550301

DO - 10.1080/09500349214550301

M3 - Article

AN - SCOPUS:0000000626

VL - 39

SP - 305

EP - 316

JO - Journal of Modern Optics

JF - Journal of Modern Optics

SN - 0950-0340

IS - 2

ER -