Transport Dynamics of Single Ions in Segmented Microstructured Paul Trap Arrays

R. Reichle,

R. Reichle

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Abteilung Quanten-Informationsverarbeitung, Universität Ulm, Albert Einstein Allee 11, 89069 Ulm, Germany

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D. Leibfried,

D. Leibfried

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Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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R. B. Blakestad,

R. B. Blakestad

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Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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J. Britton,

J. Britton

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Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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J.D. Jost,

J.D. Jost

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Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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E. Knill,

E. Knill

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Mathematical and Computational Sciences Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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C. Langer,

C. Langer

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Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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R. Ozeri,

R. Ozeri

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Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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S. Seidelin,

S. Seidelin

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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D. J. Wineland,

D. J. Wineland

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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R. Reichle,

R. Reichle

[email protected]

Abteilung Quanten-Informationsverarbeitung, Universität Ulm, Albert Einstein Allee 11, 89069 Ulm, Germany

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D. Leibfried,

D. Leibfried

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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R. B. Blakestad,

R. B. Blakestad

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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J. Britton,

J. Britton

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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J.D. Jost,

J.D. Jost

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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E. Knill,

E. Knill

[email protected]

Mathematical and Computational Sciences Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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C. Langer,

C. Langer

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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R. Ozeri,

R. Ozeri

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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S. Seidelin,

S. Seidelin

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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D. J. Wineland,

D. J. Wineland

[email protected]

Time and Frequency Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

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Book Editor(s):Prof. Dr. Wolfgang P. Schleich,

Prof. Dr. Wolfgang P. Schleich

Universität UIm, Abteilung f. Quantenphysik, Albert-Einstein-Allee 11, 89069 Ulm, Germany

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Prof. Dr. Herbert Walther,

Prof. Dr. Herbert Walther

Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany

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First published: 26 January 2007

https://doi.org/10.1002/9783527611065.ch3

Citations: 1

Summary

This chapter contains sections titled:

Introduction
Classical Equations of Motion
Classical Dynamics of Ion Transport
- Homogeneous Solution
- Green's Function and General Solution
- Adiabatic Limit
Quantum and Classical, Dragged Harmonic Oscillators with Constant Frequency
The Dragged Quantum Harmonic Oscillator
Transport Dynamics in a Well-controlled Regime
- Two Analytical Examples
- Near-optimum Transport Functions
- High-frequency Limit, Adiabatic Transport, and Approximate Trajectories
Please supply a short title
- Determination of Waveforms
- Potential Fluctuations and Aspect-ratio Rule
Conclusions
Appendix
References

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