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Quantum noise in a squeezed-light-enhanced multiparameter quantum sensor

Phys. Rev. Applied 26, 044050 – Published 19 October, 2026

DOI: https://doi.org/10.1103/dx8b-82nj

Abstract

We study quantum enhancement of sensitivity using squeezed light in a multiparameter quantum sensor, the hybrid dc and rf optically pumped magnetometer (hOPM) [M. Lipka et al., Multiparameter quantum sensing and magnetic communication with a hybrid dc and rf optically pumped magnetometer, Phys. Rev. Appl. 21, 034054 (2024)]. Using a single spin ensemble, the hOPM acquires both the dc field strength (scalar magnetometry) and resonantly detects one quadrature of the ac magnetic field at a chosen frequency (rf magnetometry). In contrast to the Bell-Bloom scalar magnetometer [C. Troullinou et al., Squeezed-light enhancement and backaction evasion in a high sensitivity optically pumped magnetometer, Phys. Rev. Lett. 127, 193601 (2021)], the backaction evasion in the hOPM is incomplete, leading to a nontrivial interplay of the three quantum noise sources in this system: photon shot noise, spin projection noise, and measurement backaction noise. We observe these interactions using squeezed light as a tool to control the distribution of optical quantum noise between S2 and S3 polarization Stokes components, and the resulting effect on readout quantum noise and measurement backaction. These results demonstrate quantum-enhanced sensitivity in a continuously operating multiparameter sensor and reveal fundamental trade-offs between sensitivity, backaction, and bandwidth.

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References (36)

  1. C. W. Helstrom, Quantum detection and estimation theory, J. Stat. Phys. 1, 231 (1969).
  2. C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
  3. L. Pezzè, A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, Quantum metrology with nonclassical states of atomic ensembles, Rev. Mod. Phys. 90, 035005 (2018).
  4. M. Szczykulska, T. Baumgratz, and A. Datta, Multi-parameter quantum metrology, Adv. Phys.: X 1, 621 (2016).
  5. R. Demkowicz-Dobrzański, W. Górecki, and M. Guţă, Multi-parameter estimation beyond quantum Fisher information, J. Phys. A Math. Theor. 53, 363001 (2020).
  6. J. Řehaček, Z. Hradil, B. Stoklasa, M. Paúr, J. Grover, A. Krzic, and L. L. Sánchez-Soto, Multiparameter quantum metrology of incoherent point sources: Towards realistic superresolution, Phys. Rev. A 96, 062107 (2017).
  7. T. J. Proctor, P. A. Knott, and J. A. Dunningham, Multiparameter estimation in networked quantum sensors, Phys. Rev. Lett. 120, 080501 (2018).
  8. A. Carollo, B. Spagnolo, A. A. Dubkov, and D. Valenti, On quantumness in multi-parameter quantum estimation, J. Stat. Mech. Theory Exp. 2019, 094010 (2019).
  9. J. Liu, H. Yuan, X.-M. Lu, and X. Wang, Quantum Fisher information matrix and multiparameter estimation, J. Phys. A Math. Theor. 53, 023001 (2019).
  10. W. Górecki and R. Demkowicz-Dobrzański, Multiparameter quantum metrology in the Heisenberg limit regime: Many-repetition scenario versus full optimization, Phys. Rev. A 106, 012424 (2022).
  11. G. Colangelo, F. M. Ciurana, L. C. Bianchet, R. J. Sewell, and M. W. Mitchell, Simultaneous tracking of spin angle and amplitude beyond classical limits, Nature (London) 543, 525 (2017).
  12. C. B. Møller, R. A. Thomas, G. Vasilakis, E. Zeuthen, Y. Tsaturyan, M. Balabas, K. Jensen, A. Schliesser, K. Hammerer, and E. S. Polzik, Quantum back-action-evading measurement of motion in a negative mass reference frame, Nature (London) 547, 191 (2017).
  13. E. Polino, M. Riva, M. Valeri, R. Silvestri, G. Corrielli, A. Crespi, N. Spagnolo, R. Osellame, and F. Sciarrino, Experimental multiphase estimation on a chip, Optica 6, 288 (2019).
  14. J. Aasi et al., Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light, Nat. Photonics 7, 613 (2013).
  15. D. Sheng, S. Li, N. Dural, and M. V. Romalis, Subfemtotesla scalar atomic magnetometry using multipass cells, Phys. Rev. Lett. 110, 160802 (2013).
  16. V. Braginsky, F. Khalili, and K. Thorne, Quantum Measurement (Cambridge University Press, Cambridge, England, 1995).
  17. C. Troullinou, R. Jiménez-Martínez, J. Kong, V. G. Lucivero, and M. W. Mitchell, Squeezed-light enhancement and backaction evasion in a high sensitivity optically pumped magnetometer, Phys. Rev. Lett. 127, 193601 (2021).
  18. D. Ganapathy et al., Broadband quantum enhancement of the LIGO detectors with frequency-dependent squeezing, Phys. Rev. X 13, 041021 (2023).
  19. L. Bai, X. Wen, Y. Yang, L. Zhang, J. He, Y. Wang, and J. Wang, Quantum-enhanced rubidium atomic magnetometer based on faraday rotation via 795 nm stokes operator squeezed light, J. Opt. 23, 085202 (2021).
  20. R. J. Sewell, M. Koschorreck, M. Napolitano, B. Dubost, N. Behbood, and M. W. Mitchell, Magnetic sensitivity beyond the projection noise limit by spin squeezing, Phys. Rev. Lett. 109, 253605 (2012).
  21. V. Shah, G. Vasilakis, and M. V. Romalis, High bandwidth atomic magnetometery with continuous quantum nondemolition measurements, Phys. Rev. Lett. 104, 013601 (2010).
  22. F. Martin Ciurana, G. Colangelo, L. Slodička, R. J. Sewell, and M. W. Mitchell, Entanglement-enhanced radio-frequency field detection and waveform sensing, Phys. Rev. Lett. 119, 043603 (2017).
  23. M. Lipka, A. Sierant, C. Troullinou, and M. W. Mitchell, Multiparameter quantum sensing and magnetic communication with a hybrid dc and rf optically pumped magnetometer, Phys. Rev. Appl. 21, 034054 (2024).
  24. J. Kitching, Chip-scale atomic devices, Appl. Phys. Rev. 5, 031302 (2018).
  25. M. Stefszky, F. vom Bruch, M. Santandrea, R. Ricken, V. Quiring, C. Eigner, H. Herrmann, and C. Silberhorn, Lithium niobate waveguide squeezer with integrated cavity length stabilisation for network applications, Opt. Express 31, 34903 (2023).
  26. T. Park, H. Stokowski, V. Ansari, S. Gyger, K. K. S. Multani, O. T. Celik, A. Y. Hwang, D. J. Dean, F. Mayor, T. P. McKenna, M. M. Fejer, and A. Safavi-Naeini, Single-mode squeezed-light generation and tomography with an integrated optical parametric oscillator, Sci. Adv. 10, eadl1814 (2024).
  27. W. E. Bell and A. L. Bloom, Optically driven spin precession, Phys. Rev. Lett. 6, 280 (1961).
  28. A. Predojević, Z. Zhai, J. M. Caballero, and M. W. Mitchell, Rubidium resonant squeezed light from a diode-pumped optical-parametric oscillator, Phys. Rev. A 78, 063820 (2008).
  29. C. Troullinou, V. G. Lucivero, and M. W. Mitchell, Quantum-enhanced magnetometry at optimal number density, Phys. Rev. Lett. 131, 133602 (2023).
  30. J. Kong, V. G. Lucivero, R. Jiménez-Martínez, and M. W. Mitchell, Long-term laser frequency stabilization using fiber interferometers, Rev. Sci. Instrum. 86, 073104 (2015).
  31. J. Kong, R. Jimenez-Martinez, C. Troullinou, V. G. Lucivero, G. Toth, and M. W. Mitchell, Measurement-induced, spatially-extended entanglement in a hot, strongly-interacting atomic system, Nat. Commun. 11, 2415 (2020).
  32. E. Aleksandrov and V. Zapasskii, Magnetic resonance in the faraday-rotation noise spectrum, Zh. Eksp. Teor. Fiz. 81, 132 (1981).
  33. G. M. Müller, M. Oestreich, M. Römer, and J. Hübner, Semiconductor spin noise spectroscopy: Fundamentals, accomplishments, and challenges, Phys. E 43, 569 (2010).
  34. V. G. Lucivero, A. Dimic, J. Kong, R. Jiménez-Martínez, and M. W. Mitchell, Sensitivity, quantum limits, and quantum enhancement of noise spectroscopies, Phys. Rev. A 95, 041803(R) (2017).
  35. W. Happer and B. S. Mathur, Effective operator formalism in optical pumping, Phys. Rev. 163, 12 (1967).
  36. A. Sierant, D. M. Avalos, S. Tabares, and M. Mitchell, Replication data for: Quantum noise in a squeezed-light-enhanced multiparameter quantum sensor (2025).

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