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Springer Theses

Quantum Limits on Measurement and Control of a Mechanical Oscillator

Authors: Sudhir, Vivishek

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  • Nominated as an outstanding PhD thesis by the École Polytechnique Fédérale de Lausanne, Switzerland
  • Offers a pedagogical approach to linear quantum measurement theory
  •  Includes a detailed guide to experimental aspects of precision interferometry Presents extensive information on the theoretical and experimental aspects of cavity optomechanics
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eBook $109.00
price for USA in USD
  • ISBN 978-3-319-69431-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $139.99
price for USA in USD
About this book

This thesis reports on experiments in which the motion of a mechanical oscillator is measured with unprecedented precision. The position fluctuations of the oscillator—a glass nanostring—are measured with an imprecision that is sufficient to resolve its quantum zero-point motion within its thermal decoherence time. The concomitant observation of measurement back-action, in accordance with Heisenberg’s uncertainty principle, verifies the principles of linear quantum measurements on a macroscopic mechanical object. The record of the measurement is used to perform feedback control so as to suppress both classical thermal motion and quantum measurement back-action.
These results verify some of the central and long-standing predictions of quantum measurement theory applied to a macroscopic object. The act of measurement not only perturbs the subject of the measurement—the mechanical oscillator—but also changes the state of the light used to  make the measurement. This prediction is verified by demonstrating that the optical field, after having interacted with the mechanical oscillator, contains quantum correlations that render its quadrature fluctuations smaller than those of the vacuum – i.e., the light is squeezed.
Lastly, the thesis reports on some of the first feedback control experiments involving macroscopic objects in the quantum regime, together with an exploration of the quantum limit of feedback control. The book offers a pedagogical account of linear measurement theory, its realization via optical interferometry, and contains a detailed guide to precision optical interferometry..

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Prologue

    Pages 1-11

    Sudhir, Vivishek

  • Quantum Fluctuations in Linear Systems

    Pages 13-33

    Sudhir, Vivishek

  • Phonons and Photons

    Pages 35-81

    Sudhir, Vivishek

  • Photon-Phonon Coupling: Cavity Optomechanics

    Pages 83-101

    Sudhir, Vivishek

  • Experimental Platform: Cryogenic Near-Field Cavity Optomechanics

    Pages 103-126

    Sudhir, Vivishek

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-69431-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $139.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Limits on Measurement and Control of a Mechanical Oscillator
Authors
Series Title
Springer Theses
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-69431-3
DOI
10.1007/978-3-319-69431-3
Hardcover ISBN
978-3-319-69430-6
Softcover ISBN
978-3-319-88778-4
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIX, 214
Number of Illustrations
3 b/w illustrations, 43 illustrations in colour
Topics