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Gravitational wave memory and quantum Michelson interferometer

Published 16 Dec 2023 in gr-qc, astro-ph.IM, physics.ins-det, and quant-ph | (2312.10454v3)

Abstract: We examined the output of a quantum Michelson interferometer incorporating the combined effects of nonlinear optomechanical interaction and time-varying gravitational fields. Our findings indicate a deviation from the standard relationship between the phase shift of the interferometer's output and the amplitude of gravitational waves. This deviation, a slight offset in direct proportionality, is associated with the gravitational wave memory effect under the conventional settings of interferometer parameters. Furthermore, the results suggest that consecutive gravitational wave memory, or the stochastic gravitational wave memory background (SGWMB), contributes not only to the classical red noise spectrum but also to a quantum red noise spectrum through this new mechanism. This leads to a novel quantum noise limit for interferometers, which may be crucial for higher precision detection system. Our analysis potentially offers a more accurate description of quantum interferometers responding to gravitational waves and applies to other scenarios involving time-varying gravitational fields. It also provides insights and experimental approaches for exploring how to unify the quantum effects of macroscopic objects and gravitation.

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References (43)
  1. K. S. Thorne, Gravitational-wave bursts with memory: The christodoulou effect, Phys. Rev. D 45, 520 (1992).
  2. J. Frauendiener, Note on the memory effect, Classical and Quantum Gravity 9, 1639 (1992).
  3. M. Favata, The gravitational-wave memory effect, Classical and Quantum Gravity 27, 084036 (2010).
  4. X. Liu, X. He, and Z. Cao, Accurate calculation of gravitational wave memory, Phys. Rev. D 103, 043005 (2021a).
  5. A. K. Divakarla and B. F. Whiting, First-order velocity memory effect from compact binary coalescing sources, Phys. Rev. D 104, 064001 (2021).
  6. O. M. Boersma, D. A. Nichols, and P. Schmidt, Forecasts for detecting the gravitational-wave memory effect with advanced ligo and virgo, Phys. Rev. D 101, 083026 (2020).
  7. M. Hübner, P. Lasky, and E. Thrane, Memory remains undetected: Updates from the second LIGO/Virgo gravitational-wave transient catalog, Phys. Rev. D 104, 023004 (2021).
  8. G. Agazie et al., The NANOGrav 12.5-year Data Set: Search for Gravitational Wave Memory (2023), arXiv:2307.13797 [gr-qc] .
  9. H. Yu et al., Prospects for detecting gravitational waves at 5 hz with ground-based detectors, Phys. Rev. Lett. 120, 141102 (2018).
  10. D. Madison, J. Cordes, and S. Chatterjee, Assessing pulsar timing array sensitivity to gravitational wave bursts with memory, The Astrophysical Journal 788, 141 (2014).
  11. M. Punturo et al., The Einstein Telescope: a third-generation gravitational wave observatory, Classical and Quantum Gravity 27, 194002 (2010).
  12. S. Hild et al., Sensitivity studies for third-generation gravitational wave observatories, Classical and Quantum Gravity 28, 094013 (2011).
  13. S. L. Danilishin, F. Y. Khalili, and H. Miao, Advanced quantum techniques for future gravitational-wave detectors, Living Rev. Rel. 22, 2 (2019), arXiv:1903.05223 [gr-qc] .
  14. D. Reitze et al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO, Bull. Am. Astron. Soc. 51, 035 (2019), arXiv:1907.04833 [astro-ph.IM] .
  15. B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett. 116, 061102 (2016).
  16. S. Rowan and J. Hough, Gravitational wave detection by interferometry (ground and space), Living Reviews in Relativity 3, 3 (2016).
  17. N. Yunes, K. Yagi, and F. Pretorius, Theoretical physics implications of the binary black-hole mergers GW150914 and GW151226, Phys. Rev. D 94, 084002 (2016).
  18. B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), GW170817: Implications for the stochastic gravitational-wave background from compact binary coalescences, Phys. Rev. Lett. 120, 091101 (2018).
  19. B. Pang and Y. Chen, Quantum interactions between a laser interferometer and gravitational waves, Phys. Rev. D 98, 124006 (2018).
  20. T. D. Galley, F. Giacomini, and J. H. Selby, A no-go theorem on the nature of the gravitational field beyond quantum theory, Quantum 6, 779 (2022).
  21. H. Miao, S. Danilishin, and Y. Chen, Universal quantum entanglement between an oscillator and continuous fields, Phys. Rev. A 81, 052307 (2010).
  22. C. M. Caves, Quantum-mechanical radiation-pressure fluctuations in an interferometer, Phys. Rev. Lett. 45, 75 (1980).
  23. C. M. Caves, Quantum-mechanical noise in an interferometer, Phys. Rev. D 23, 1693 (1981).
  24. V. B. Braginsky and F. Y. Khalili, Quantum measurement (Cambridge University Press, 1995).
  25. S. L. Danilishin and F. Y. Khalili, Quantum measurement theory in gravitational-wave detectors, Living Reviews in Relativity 15, 5 (2012).
  26. A. F. Pace, M. J. Collett, and D. F. Walls, Quantum limits in interferometric detection of gravitational radiation, Phys. Rev. A 47, 3173 (1993).
  27. S. Mancini and P. Tombesi, Quantum noise reduction by radiation pressure, Phys. Rev. A 49, 4055 (1994).
  28. C. K. Law, Interaction between a moving mirror and radiation pressure: A hamiltonian formulation, Phys. Rev. A 51, 2537 (1995).
  29. R. K. Sachs, Gravitational waves in general relativity viii. waves in asymptotically flat space-time, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 270, 103 (1962).
  30. R. Penrose and W. Rindler, Spinors and space-time: Volume 1, Two-spinor calculus and relativistic fields, Vol. 1 (Cambridge University Press, 1987).
  31. D. A. Nichols, Spin memory effect for compact binaries in the post-newtonian approximation, Phys. Rev. D 95, 084048 (2017).
  32. X. Liu, X. He, and Z. Cao, Accurate calculation of gravitational wave memory, Physical Review D 103, 10.1103/PhysRevD.103.043005 (2021b).
  33. A. Held, E. T. Newman, and R. Posadas, The Lorentz Group and the Sphere, Journal of Mathematical Physics 11, 3145 (2003).
  34. E. Newman and R. Penrose, An Approach to Gravitational Radiation by a Method of Spin Coefficients, Journal of Mathematical Physics 3, 566 (1962).
  35. R. Penrose, Asymptotic properties of fields and space-times, Phys. Rev. Lett. 10, 66 (1963).
  36. C. Anastopoulos and B. Hu, Problems with the newton–schrödinger equations, New Journal of Physics 16, 085007 (2014).
  37. S. Bose, K. Jacobs, and P. L. Knight, Preparation of nonclassical states in cavities with a moving mirror, Phys. Rev. A 56, 4175 (1997).
  38. A. Zeilinger, General properties of lossless beam splitters in interferometry, American Journal of Physics 49, 882 (1981).
  39. R. A. Campos, B. E. A. Saleh, and M. C. Teich, Quantum-mechanical lossless beam splitter: Su(2) symmetry and photon statistics, Phys. Rev. A 40, 1371 (1989).
  40. C. Gerry, P. Knight, and P. L. Knight, Introductory quantum optics (Cambridge university press, 2005).
  41. Z.-C. Zhao and Z. Cao, Stochastic gravitational wave background due to gravitational wave memory, Sci. China Phys. Mech. Astron. 65, 119511 (2022), arXiv:2111.13883 [gr-qc] .
  42. V. Braginsky and S. Vyatchanin, Low quantum noise tranquilizer for Fabry–Perot interferometer, Physics Letters A 293, 228 (2002).
  43. A. Weinstein, Advanced LIGO optical configuration and prototyping effort, Classical and Quantum Gravity 19, 1575 (2002).

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Authors (2)

  1. Zhong-Kai Guo 
  2. Xiao-Yong Wang 

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