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Quantum Nondemolition Measurements of Harmonic Oscillators
Abstract
The complex amplitude ${X}_{1}+i{X}_{2}\ensuremath{\equiv}(x+\frac{\mathrm{ip}}{m\ensuremath{\omega}}){e}^{i\ensuremath{\omega}t}$ of a harmonic oscillator is constant in the absence of driving forces. Although the uncertainty principle forbids precise measurements of ${X}_{1}$ and ${X}_{2}$ simultaneously ($\ensuremath{\Delta}{X}_{1}\ensuremath{\Delta}{X}_{2}>~\frac{\ensuremath{\hbar}}{2m\ensuremath{\omega}}$), ${X}_{1}$ alone can be measured precisely and continuously ("quantum nondemolition measurement"). Examples are given of measuring systems that do this job. Such systems might play a crucial role in gravitational-wave detection and elsewhere.
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Citations
Cited by
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Zurek, W. H. (1982) · Physical Review D · doi:10.1103/physrevd.26.1862 · Cited by 1,415
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Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y.-X., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.10.002 · Cited by 1,307
Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
Zurek, W. H. (1981) · Physical Review D · doi:10.1103/physrevd.24.1516 · Cited by 1,257
Peil, S., & Gabrielse, G. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.1287 · Cited by 209
Metadata
- Authors
- Thorne, K. S., Drever, R. W. P., Caves, C. M., Zimmermann, M., & Sandberg, V. D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1978-03-13
- Volume
- 40
- Issue
- 11
- Pages
- 667-671
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2045275528
- Cited by
- 247
- References
- 0
- FWCI
- 4.66
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Quantum Nondemolition Measurements of Harmonic Oscillators. https://app.cochat.ai/papers/10.1103/physrevlett.40.667
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- Thorne, K. S., Drever, R. W. P., Caves, C. M., Zimmermann, M., & Sandberg, V. D. (1978). Quantum Nondemolition Measurements of Harmonic Oscillators. Physical Review Letters. https://doi.org/10.1103/physrevlett.40.667
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