Quantum Limits on Measurement and Control of a Mechanical Oscillator
Authors: Sudhir, Vivishek
Free Preview- 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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- About this book
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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)
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Prologue
Pages 1-11
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Quantum Fluctuations in Linear Systems
Pages 13-33
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Phonons and Photons
Pages 35-81
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Photon-Phonon Coupling: Cavity Optomechanics
Pages 83-101
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Experimental Platform: Cryogenic Near-Field Cavity Optomechanics
Pages 103-126
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Table of contents (8 chapters)
- Download Sample pages 2 PDF (257.4 KB)
- Download Table of contents PDF (119.9 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Quantum Limits on Measurement and Control of a Mechanical Oscillator
- Authors
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- Vivishek Sudhir
- 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
