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  • © 2018

Quantum Limits on Measurement and Control of a Mechanical Oscillator

Authors:

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xix
  2. Prologue

    • Vivishek Sudhir
    Pages 1-11
  3. Quantum Fluctuations in Linear Systems

    • Vivishek Sudhir
    Pages 13-33
  4. Phonons and Photons

    • Vivishek Sudhir
    Pages 35-81
  5. Photon-Phonon Coupling: Cavity Optomechanics

    • Vivishek Sudhir
    Pages 83-101
  6. Epilogue

    • Vivishek Sudhir
    Pages 191-196
  7. Back Matter

    Pages 197-214

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..

Authors and Affiliations

  • LIGO Laboratory, Massachusetts Institute of Technology, Cambridge, USA

    Vivishek Sudhir

Bibliographic Information

  • Book Title: Quantum Limits on Measurement and Control of a Mechanical Oscillator

  • Authors: Vivishek Sudhir

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-69431-3

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-69430-6Published: 04 December 2017

  • Softcover ISBN: 978-3-319-88778-4Published: 04 September 2018

  • eBook ISBN: 978-3-319-69431-3Published: 21 November 2017

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XIX, 214

  • Number of Illustrations: 3 b/w illustrations, 43 illustrations in colour

  • Topics: Quantum Physics, Quantum Optics, Quantum Information Technology, Spintronics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access