Quantum noise of non-ideal Sagnac speed meter interferometer with asymmetries

Stefan Danilishin, C. Grf, S.S. Leavey, J. Hennig, E.A. Houston, D. Pascucci, S. Steinlechner, J. Wright, S. Hild

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. The speed meter concept has been identified as a technique that can potentially provide laser-interferometric measurements at a sensitivity level which surpasses the standard quantum limit (SQL) over a broad frequency range. As with other sub-SQL measurement techniques, losses play a central role in speed meter interferometers and they ultimately determine the quantum noise limited sensitivity that can be achieved. So far in the literature, the quantum noise limited sensitivity has only been derived for lossless or lossy cases using certain approximations (for instance that the arm cavity round trip loss is small compared to the arm cavity mirror transmission). In this article we present a generalized, analytical treatment of losses in speed meters that allows accurate calculation of the quantum noise limited sensitivity of Sagnac speed meters with arm cavities. In addition, our analysis allows us to take into account potential imperfections in the interferometer such as an asymmetric beam splitter or differences of the reflectivities of the two arm cavity input mirrors. Finally, we use the examples of the proof-of-concept Sagnac speed meter currently under construction in Glasgow and a potential implementation of a Sagnac speed meter in the Einstein Telescope to illustrate how our findings affect Sagnac speed meters with metre- and kilometre-long baselines.
    Original languageEnglish
    Pages (from-to)1-17
    JournalNew Journal of Physics
    Volume17
    DOIs
    Publication statusPublished - 2015

    Fingerprint

    interferometers
    asymmetry
    cavities
    sensitivity
    mirrors
    beam splitters
    frequency ranges
    telescopes
    reflectance
    defects
    approximation
    lasers

    Cite this

    Danilishin, S., Grf, C., Leavey, S. S., Hennig, J., Houston, E. A., Pascucci, D., ... Hild, S. (2015). Quantum noise of non-ideal Sagnac speed meter interferometer with asymmetries. New Journal of Physics, 17, 1-17. https://doi.org/10.1088/1367-2630/17/4/043031
    Danilishin, Stefan ; Grf, C. ; Leavey, S.S. ; Hennig, J. ; Houston, E.A. ; Pascucci, D. ; Steinlechner, S. ; Wright, J. ; Hild, S. / Quantum noise of non-ideal Sagnac speed meter interferometer with asymmetries. In: New Journal of Physics. 2015 ; Vol. 17. pp. 1-17.
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    Danilishin, S, Grf, C, Leavey, SS, Hennig, J, Houston, EA, Pascucci, D, Steinlechner, S, Wright, J & Hild, S 2015, 'Quantum noise of non-ideal Sagnac speed meter interferometer with asymmetries' New Journal of Physics, vol. 17, pp. 1-17. https://doi.org/10.1088/1367-2630/17/4/043031

    Quantum noise of non-ideal Sagnac speed meter interferometer with asymmetries. / Danilishin, Stefan; Grf, C.; Leavey, S.S.; Hennig, J.; Houston, E.A.; Pascucci, D.; Steinlechner, S.; Wright, J.; Hild, S.

    In: New Journal of Physics, Vol. 17, 2015, p. 1-17.

    Research output: Contribution to journalArticle

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    AU - Grf, C.

    AU - Leavey, S.S.

    AU - Hennig, J.

    AU - Houston, E.A.

    AU - Pascucci, D.

    AU - Steinlechner, S.

    AU - Wright, J.

    AU - Hild, S.

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    N2 - © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. The speed meter concept has been identified as a technique that can potentially provide laser-interferometric measurements at a sensitivity level which surpasses the standard quantum limit (SQL) over a broad frequency range. As with other sub-SQL measurement techniques, losses play a central role in speed meter interferometers and they ultimately determine the quantum noise limited sensitivity that can be achieved. So far in the literature, the quantum noise limited sensitivity has only been derived for lossless or lossy cases using certain approximations (for instance that the arm cavity round trip loss is small compared to the arm cavity mirror transmission). In this article we present a generalized, analytical treatment of losses in speed meters that allows accurate calculation of the quantum noise limited sensitivity of Sagnac speed meters with arm cavities. In addition, our analysis allows us to take into account potential imperfections in the interferometer such as an asymmetric beam splitter or differences of the reflectivities of the two arm cavity input mirrors. Finally, we use the examples of the proof-of-concept Sagnac speed meter currently under construction in Glasgow and a potential implementation of a Sagnac speed meter in the Einstein Telescope to illustrate how our findings affect Sagnac speed meters with metre- and kilometre-long baselines.

    AB - © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. The speed meter concept has been identified as a technique that can potentially provide laser-interferometric measurements at a sensitivity level which surpasses the standard quantum limit (SQL) over a broad frequency range. As with other sub-SQL measurement techniques, losses play a central role in speed meter interferometers and they ultimately determine the quantum noise limited sensitivity that can be achieved. So far in the literature, the quantum noise limited sensitivity has only been derived for lossless or lossy cases using certain approximations (for instance that the arm cavity round trip loss is small compared to the arm cavity mirror transmission). In this article we present a generalized, analytical treatment of losses in speed meters that allows accurate calculation of the quantum noise limited sensitivity of Sagnac speed meters with arm cavities. In addition, our analysis allows us to take into account potential imperfections in the interferometer such as an asymmetric beam splitter or differences of the reflectivities of the two arm cavity input mirrors. Finally, we use the examples of the proof-of-concept Sagnac speed meter currently under construction in Glasgow and a potential implementation of a Sagnac speed meter in the Einstein Telescope to illustrate how our findings affect Sagnac speed meters with metre- and kilometre-long baselines.

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