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Approaches of frequency-dependent squeezing for the low frequency detector of the Einstein Telescope

Xingrui Peng1,2,*, Denis Martynov1, Zonghong Zhu2, and Teng Zhang1,†

  • 1Institute for Gravitational Wave Astronomy, School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, United Kingdom
  • 2School of Physical Science and Technology, Wuhan University, Wuhan 430072, China

  • *Contact author: xxp381@student.bham.ac.uk
  • †Contact author: tzhang@star.sr.bham.ac.uk
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Phys. Rev. D 110, 082006 – Published 15 October, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.082006

Abstract

The quantum noise in gravitational-wave detectors can be suppressed in a broadband by frequency-dependent squeezing. It usually requires one large scale filter cavity and even two, for example in the low frequency detector of Einstein Telescope, which is a detuned dual recycling Fabry-Perot Michelson interferometer. In this paper, we study the feasibility of replacing two filter cavities with a coupled-cavity, aiming to reduce the optical losses with less number of optics. It turns out this approach is only theoretically valid, however, the required parameters of the optics do not support practical implementation, which is consistent with the results in Jones et al. [Implications of the quantum noise target for the Einstein Telescope infrastructure design, Phys. Rev. D 101, 082002 (2020)]. Furthermore, we investigate the viability of utilizing Einstein-Podolsky-Rosen (EPR) squeezing to eliminate either one or two filter cavities in the Einstein Telescope. It turns out EPR squeezing would allow us to eliminate one filter cavity, and can potentially improve the detector sensitivity with the allowance of higher input squeezing level, benefiting from the longer length of the arm cavity which serves as one of the filter cavities for frequency-dependent squeezing.

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References (36)

  1. J. Aasi et al. (LIGO Scientific Collaboration), Advanced LIGO, Classical Quantum Gravity 32, 074001 (2015).
  2. A. Buikema et al., Sensitivity and performance of the Advanced LIGO detectors in the third observing run, Phys. Rev. D 102, 062003 (2020).
  3. D. V. Martynov et al., Sensitivity of the Advanced LIGO detectors at the beginning of gravitational wave astronomy, Phys. Rev. D 93, 112004 (2016).
  4. M. e. Tse, Quantum-enhanced Advanced LIGO detectors in the era of gravitational-wave astronomy, Phys. Rev. Lett. 123, 231107 (2019).
  5. B. P. Abbott (LIGO Scientific and Virgo Collaborations), GW150914: The Advanced LIGO detectors in the era of first discoveries, Phys. Rev. Lett. 116, 131103 (2016).
  6. G. M. Harry (LIGO Scientific Collaboration), Advanced LIGO: The next generation of gravitational wave detectors, Classical Quantum Gravity 27, 084006 (2010).
  7. F. Acernese et al. (Virgo Collaboration), Advanced Virgo: A second-generation interferometric gravitational wave detector, Classical Quantum Gravity 32, 024001 (2015).
  8. F. Acernese et al. (Virgo Collaboration), Increasing the astrophysical reach of the Advanced Virgo detector via the application of squeezed vacuum states of light, Phys. Rev. Lett. 123, 231108 (2019).
  9. Y. Aso, Y. Michimura, K. Somiya, M. Ando, O. Miyakawa, T. Sekiguchi, D. Tatsumi, and H. Yamamoto (The KAGRA Collaboration), Interferometer design of the KAGRA gravitational wave detector, Phys. Rev. D 88, 043007 (2013).
  10. T. Akutsu et al., Overview of KAGRA: Detector design and construction history, Prog. Theor. Exp. Phys. 2021, 05A101 (2020).
  11. K. Somiya (KAGRA Collaboration), Detector configuration of KAGRA–the Japanese cryogenic gravitational-wave detector, Classical Quantum Gravity 29, 124007 (2012).
  12. The LIGO Scientific, the Virgo, and the KAGRA Collaborations, GWTC-3: Compact binary coalescences observed by LIGO and Virgo during the second part of the third observing run, Phys. Rev. X 13, 041039 (2023).
  13. S. Hild et al., Sensitivity studies for third-generation gravitational wave observatories, Classical Quantum Gravity 28, 094013 (2011).
  14. B. P. Abbott, R. Abbott, T. D. Abbott, M. Abernathy, K. Ackley, C. Adams, P. Addesso, R. X. Adhikari, V. Adya, C. Affeldt et al., Exploring the sensitivity of next generation gravitational wave detectors, Classical Quantum Gravity 34, 044001 (2017).
  15. A. Buonanno and Y. Chen, Scaling law in signal recycled laser-interferometer gravitational-wave detectors, Phys. Rev. D 67, 062002 (2003).
  16. S. L. Danilishin and F. Y. Khalili, Quantum measurement theory in gravitational-wave detectors, Living Rev. Relativity 15, 5 (2012).
  17. P. Purdue and Y. Chen, Practical speed meter designs for quantum nondemolition gravitational-wave interferometers, Phys. Rev. D 66, 122004 (2002).
  18. V. B. Braginsky and F. Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, England, 1995).
  19. J. Aasi, J. Abadie, B. Abbott, R. Abbott, T. Abbott, M. Abernathy, C. Adams, T. Adams, P. Addesso, R. Adhikari et al., Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light, Nat. Photonics 7, 613 (2013).
  20. L. McCuller, C. Whittle, D. Ganapathy, K. Komori, M. Tse, A. Fernandez-Galiana, L. Barsotti, P. Fritschel, M. MacInnis, F. Matichard, K. Mason, N. Mavalvala, R. Mittleman, H. Yu, M. E. Zucker, and M. Evans, Frequency-dependent squeezing for Advanced LIGO, Phys. Rev. Lett. 124, 171102 (2020).
  21. F. e. Acernese (Virgo Collaboration), Frequency-dependent squeezed vacuum source for the Advanced Virgo gravitational-wave detector, Phys. Rev. Lett. 131, 041403 (2023).
  22. A. Buonanno and Y. Chen, Laser-interferometer gravitational-wave optical-spring detectors, Classical Quantum Gravity 19, 1569 (2002).
  23. J. Harms, Y. Chen, S. Chelkowski, A. Franzen, H. Vahlbruch, K. Danzmann, and R. Schnabel, Squeezed-input, optical-spring, signal-recycled gravitational-wave detectors, Phys. Rev. D 68, 042001 (2003).
  24. Y. Ma, H. Miao, B. H. Pang, M. Evans, C. Zhao, J. Harms, R. Schnabel, and Y. Chen, Proposal for gravitational-wave detection beyond the standard quantum limit through EPR entanglement, Nat. Phys. 13, 776 (2017).
  25. D. D. Brown, H. Miao, C. Collins, C. Mow-Lowry, D. Töyrä, and A. Freise, Broadband sensitivity enhancement of detuned dual-recycled Michelson interferometers with EPR entanglement, Phys. Rev. D 96, 062003 (2017).
  26. J. Südbeck, S. Steinlechner, M. Korobko, and R. Schnabel, Demonstration of interferometer enhancement through Einstein–Podolsky–Rosen entanglement, Nat. Photonics 14, 240 (2020).
  27. M. J. Yap, P. Altin, T. G. McRae, B. J. Slagmolen, R. L. Ward, and D. E. McClelland, Generation and control of frequency-dependent squeezing via Einstein–Podolsky–Rosen entanglement, Nat. Photonics 14, 223 (2020).
  28. D. W. Gould, M. J. Yap, V. B. Adya, B. J. J. Slagmolen, R. L. Ward, and D. E. McClelland, Optimal quantum noise cancellation with an entangled witness channel, Phys. Rev. Res. 3, 043079 (2021).
  29. Y. Nishino, S. Danilishin, Y. Enomoto, and T. Zhang, Frequency-dependent squeezing for gravitational-wave detection through quantum teleportation, Phys. Rev. A 110, 022601 (2024).
  30. P. Jones, T. Zhang, H. Miao, and A. Freise, Implications of the quantum noise target for the Einstein Telescope infrastructure design, Phys. Rev. D 101, 082002 (2020).
  31. C. M. Caves and B. L. Schumaker, New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states, Phys. Rev. A 31, 3068 (1985).
  32. B. L. Schumaker and C. M. Caves, New formalism for two-photon quantum optics. II. Mathematical foundation and compact notation, Phys. Rev. A 31, 3093 (1985).
  33. T. Corbitt, Y. Chen, and N. Mavalvala, Mathematical framework for simulation of quantum fields in complex interferometers using the two-photon formalism, Phys. Rev. A 72, 013818 (2005).
  34. A. Buonanno and Y. Chen, Quantum noise in second generation, signal-recycled laser interferometric gravitational-wave detectors, Phys. Rev. D 64, 042006 (2001).
  35. L. e. McCuller, LIGO’s quantum response to squeezed states, Phys. Rev. D 104, 062006 (2021).
  36. P. Kwee, J. Miller, T. Isogai, L. Barsotti, and M. Evans, Decoherence and degradation of squeezed states in quantum filter cavities, Phys. Rev. D 90, 062006 (2014).

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Phys. Rev. D 110, 082006– Published 15 October, 2024
  • Received 23 April 2024
  • Accepted 16 September 2024
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