- Physical Review Journals
All JournalsPhysics Magazine

Physical Review B

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Quantum sensing magnonic number states using a bosonic mode as the probe

Bashab Dey1,*, Sonu Verma1,2, Mathias Weiler1, and Akashdeep Kamra1

  • *Contact author: bashab.dey@rptu.de
PDF

Phys. Rev. B 114, 084415 – Published 18 August, 2026

DOI: https://doi.org/10.1103/f8jq-1cxh

Abstract

Sensing number states of a magnonic mode has been accomplished using a superconducting qubit by realizing an effective dispersive interaction between the two systems. Here, we theoretically demonstrate that a seemingly classical bosonic mode can be utilized as a probe for resolving the number states of a magnon mode, while outperforming a qubit in various regards as the sensor. Considering another magnon mode in an antiferromagnet as the probe mode, we delineate the required dispersive coupling emerging directly from antiferromagnetic exchange interaction. When a phonon is used as the probe mode, we derive the effective dispersive coupling emerging from the lowest-order nonlinear magnon-phonon interactions. Our two considered examples provide the general design principles for identifying and utilizing a bosonic probe mode for sensing magnonic superpositions in a physical platform of interest.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (98)

  1. S. N. Andrianov and S. A. Moiseev, Magnon qubit and quantum computing on magnon Bose-Einstein condensates, Phys. Rev. A 90, 042303 (2014).
  2. B. Hetényi, A. Mook, J. Klinovaja, and D. Loss, Long-distance coupling of spin qubits via topological magnons, Phys. Rev. B 106, 235409 (2022).
  3. B. M. Terhal, J. Conrad, and C. Vuillot, Towards scalable bosonic quantum error correction, Quantum Sci. Technol. 5, 043001 (2020).
  4. M. Bejarano, F. J. T. Goncalves, T. Hache, M. Hollenbach, C. Heins, T. Hula, L. Körber, J. Heinze, Y. Berencén, M. Helm, J. Fassbender, G. V. Astakhov, and H. Schultheiss, Parametric magnon transduction to spin qubits, Sci. Adv. 10, eadi2042 (2024).
  5. H. Yuan, Y. Cao, A. Kamra, R. A. Duine, and P. Yan, Quantum magnonics: When magnon spintronics meets quantum information science, Phys. Rep. 965, 1 (2022).
  6. A. Laucht, F. Hohls, N. Ubbelohde, M. Fernando Gonzalez-Zalba, D. J. Reilly, S. Stobbe, T. Schröder, P. Scarlino, J. V. Koski, A. Dzurak, C.-H. Yang, J. Yoneda, F. Kuemmeth, H. Bluhm, J. Pla, C. Hill, J. Salfi, A. Oiwa, J. T. Muhonen, E. Verhagen, et al., Roadmap on quantum nanotechnologies, Nanotechnology 32, 162003 (2021).
  7. D. Lachance-Quirion, Y. Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Yamazaki, and Y. Nakamura, Resolving quanta of collective spin excitations in a millimeter-sized ferromagnet, Sci. Adv. 3, e1603150 (2017).
  8. D. Xu, X.-K. Gu, H.-K. Li, Y.-C. Weng, Y.-P. Wang, J. Li, H. Wang, S.-Y. Zhu, and J. Q. You, Quantum control of a single magnon in a macroscopic spin system, Phys. Rev. Lett. 130, 193603 (2023).
  9. D. Xu, X.-K. Gu, Y.-C. Weng, H.-K. Li, Y.-P. Wang, S.-Y. Zhu, and J. Q. You, Macroscopic Bell state between a millimeter-sized spin system and a superconducting qubit, Quantum Sci. Technol. 9, 035002 (2024).
  10. W. A. Yager and R. M. Bozorth, Ferromagnetic resonance at microwave frequencies, Phys. Rev. 72, 80 (1947).
  11. F. M. Johnson and A. H. Nethercot, Antiferromagnetic resonance in MnF2, Phys. Rev. 114, 705 (1959).
  12. E. Beaurepaire, J.-C. Merle, A. Daunois, and J.-Y. Bigot, Ultrafast spin dynamics in ferromagnetic nickel, Phys. Rev. Lett. 76, 4250 (1996).
  13. Y. Tserkovnyak, A. Brataas, and G. E. W. Bauer, Enhanced Gilbert damping in thin ferromagnetic films, Phys. Rev. Lett. 88, 117601 (2002).
  14. Y. Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Coherent coupling between a ferromagnetic magnon and a superconducting qubit, Science 349, 405 (2015).
  15. D. Lachance-Quirion, Y. Tabuchi, A. Gloppe, K. Usami, and Y. Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019).
  16. D. Lachance-Quirion, S. P. Wolski, Y. Tabuchi, S. Kono, K. Usami, and Y. Nakamura, Entanglement-based single-shot detection of a single magnon with a superconducting qubit, Science 367, 425 (2020).
  17. S. P. Wolski, D. Lachance-Quirion, Y. Tabuchi, S. Kono, A. Noguchi, K. Usami, and Y. Nakamura, Dissipation-based quantum sensing of magnons with a superconducting qubit, Phys. Rev. Lett. 125, 117701 (2020).
  18. S. Rani, X. Cao, A. E. Baptista, A. Hoffmann, and W. Pfaff, High-dynamic-range quantum sensing of magnons and their dynamics using a superconducting qubit, Phys. Rev. Appl. 23, 064032 (2025).
  19. M. Dols, S. Sharma, L. Bechara, Y. M. Blanter, M. Kounalakis, and S. Viola Kusminskiy, Magnon-mediated quantum gates for superconducting qubits, Phys. Rev. B 110, 104416 (2024).
  20. J. G. Peixoto de Faria and M. C. Nemes, Dissipative dynamics of the Jaynes-Cummings model in the dispersive approximation: Analytical results, Phys. Rev. A 59, 3918 (1999).
  21. D. I. Schuster, A. A. Houck, J. A. Schreier, A. Wallraff, J. M. Gambetta, A. Blais, L. Frunzio, J. Majer, B. Johnson, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Resolving photon number states in a superconducting circuit, Nature (London) 445, 515 (2007).
  22. J. Gambetta, A. Blais, D. I. Schuster, A. Wallraff, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Qubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting, Phys. Rev. A 74, 042318 (2006).
  23. P. Arrangoiz-Arriola, E. A. Wollack, Z. Wang, M. Pechal, W. Jiang, T. P. McKenna, J. D. Witmer, R. Van Laer, and A. H. Safavi-Naeini, Resolving the energy levels of a nanomechanical oscillator, Nature (London) 571, 537 (2019).
  24. L. R. Sletten, B. A. Moores, J. J. Viennot, and K. W. Lehnert, Resolving phonon Fock states in a multimode cavity with a double-slit qubit, Phys. Rev. X 9, 021056 (2019).
  25. E. A. Wollack, A. Y. Cleland, R. G. Gruenke, Z. Wang, P. Arrangoiz-Arriola, and A. H. Safavi-Naeini, Quantum state preparation and tomography of entangled mechanical resonators, Nature (London) 604, 463 (2022).
  26. U. von Lüpke, Y. Yang, M. Bild, L. Michaud, M. Fadel, and Y. Chu, Parity measurement in the strong dispersive regime of circuit quantum acoustodynamics, Nat. Phys. 18, 794 (2022).
  27. N. R. A. Lee, Y. Guo, A. Y. Cleland, E. A. Wollack, R. G. Gruenke, T. Makihara, Z. Wang, T. Rajabzadeh, W. Jiang, F. M. Mayor, P. Arrangoiz-Arriola, C. J. Sarabalis, and A. H. Safavi-Naeini, Strong dispersive coupling between a mechanical resonator and a fluxonium superconducting qubit, PRX Quantum 4, 040342 (2023).
  28. A. Y. Cleland, E. A. Wollack, and A. H. Safavi-Naeini, Studying phonon coherence with a quantum sensor, Nat. Commun. 15, 4979 (2024).
  29. G. J. Milburn and D. F. Walls, Quantum nondemolition measurements via quadratic coupling, Phys. Rev. A 28, 2065 (1983).
  30. N. Imoto, H. A. Haus, and Y. Yamamoto, Quantum nondemolition measurement of the photon number via the optical Kerr effect, Phys. Rev. A 32, 2287 (1985).
  31. W. J. Munro, K. Nemoto, R. G. Beausoleil, and T. P. Spiller, High-efficiency quantum-nondemolition single-photon-number-resolving detector, Phys. Rev. A 71, 033819 (2005).
  32. F. Helmer, M. Mariantoni, E. Solano, and F. Marquardt, Quantum nondemolition photon detection in circuit QED and the quantum Zeno effect, Phys. Rev. A 79, 052115 (2009).
  33. E. T. Holland, B. Vlastakis, R. W. Heeres, M. J. Reagor, U. Vool, Z. Leghtas, L. Frunzio, G. Kirchmair, M. H. Devoret, M. Mirrahimi, and R. J. Schoelkopf, Single-photon-resolved cross-Kerr interaction for autonomous stabilization of photon-number states, Phys. Rev. Lett. 115, 180501 (2015).
  34. C. F. Roos, T. Monz, K. Kim, M. Riebe, H. Häffner, D. F. V. James, and R. Blatt, Nonlinear coupling of continuous variables at the single quantum level, Phys. Rev. A 77, 040302(R) (2008).
  35. S. Ding, G. Maslennikov, R. Hablützel, and D. Matsukevich, Cross-Kerr nonlinearity for phonon counting, Phys. Rev. Lett. 119, 193602 (2017).
  36. C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
  37. P. S. Patel and D. B. Desai, Review of qubit-based quantum sensing, Quantum Inf. Process. 24, 83 (2025).
  38. C. W. Fink, C. P. Salemi, B. A. Young, D. I. Schuster, and N. A. Kurinsky, Superconducting quasiparticle-amplifying transmon: A qubit-based sensor for MeV-scale phonons and single terahertz photons, Phys. Rev. Appl. 22, 054009 (2024).
  39. K. Kakuyanagi, H. Toida, L. V. Abdurakhimov, and S. Saito, Submicrometer-scale temperature sensing using quantum coherence of a superconducting qubit, New J. Phys. 25, 013036 (2023).
  40. S. Danilin, N. Nugent, and M. Weides, Quantum sensing with tunable superconducting qubits: optimization and speed-up, New J. Phys. 26, 103029 (2024).
  41. F. Casola, T. van der Sar, and A. Yacoby, Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond, Nat. Rev. Mater. 3, 17088 (2018).
  42. Y. Xu, W. Zhang, and C. Tian, Recent advances on applications of NV centers; magnetometry in condensed matter physics, Photonics Res. 11, 393 (2023).
  43. B. G. Simon, S. Kurdi, J. J. Carmiggelt, M. Borst, A. J. Katan, and T. van der Sar, Filtering and imaging of frequency-degenerate spin waves using nanopositioning of a single-spin sensor, Nano Lett. 22, 9198 (2022).
  44. T. van der Sar, F. Casola, R. Walsworth, and A. Yacoby, Nanometre-scale probing of spin waves using single electron spins, Nat. Commun. 6, 7886 (2015).
  45. M. R. Page, B. A. McCullian, C. M. Purser, J. G. Schulze, T. M. Nakatani, C. S. Wolfe, J. R. Childress, M. E. McConney, B. M. Howe, P. C. Hammel, and V. P. Bhallamudi, Optically detected ferromagnetic resonance in diverse ferromagnets via nitrogen vacancy centers in diamond, J. Appl. Phys. 126, 124902 (2019).
  46. P. E. Dolgirev, S. Chatterjee, I. Esterlis, A. A. Zibrov, M. D. Lukin, N. Y. Yao, and E. Demler, Characterizing two-dimensional superconductivity via nanoscale noise magnetometry with single-spin qubits, Phys. Rev. B 105, 024507 (2022).
  47. S. Chatterjee, P. E. Dolgirev, I. Esterlis, A. A. Zibrov, M. D. Lukin, N. Y. Yao, and E. Demler, Single-spin qubit magnetic spectroscopy of two-dimensional superconductivity, Phys. Rev. Res. 4, L012001 (2022).
  48. P. Bhattacharyya, W. Chen, X. Huang, S. Chatterjee, B. Huang, B. Kobrin, Y. Lyu, T. J. Smart, M. Block, E. Wang, Z. Wang, W. Wu, S. Hsieh, H. Ma, S. Mandyam, B. Chen, E. Davis, Z. M. Geballe, C. Zu, V. Struzhkin, et al., Imaging the Meissner effect in hydride superconductors using quantum sensors, Nature (London) 627, 73 (2024).
  49. A. L. Melendez, S. Das, F. A. Rodriguez, I.-H. Kao, W. Liu, A. J. Williams, B. Lv, J. Goldberger, S. Chatterjee, S. Singh, and P. C. Hammel, Quantum sensing of broadband spin dynamics and magnon transport in antiferromagnets, Sci. Adv. 11, eadu9381 (2025).
  50. F. Machado, E. A. Demler, N. Y. Yao, and S. Chatterjee, Quantum noise spectroscopy of dynamical critical phenomena, Phys. Rev. Lett. 131, 070801 (2023).
  51. A.-L. E. Römling, A. Vivas-Viaña, C. S. Muñoz, and A. Kamra, Resolving nonclassical magnon composition of a magnetic ground state via a qubit, Phys. Rev. Lett. 131, 143602 (2023).
  52. A.-L. E. Römling and A. Kamra, Quantum sensing of antiferromagnetic magnon two-mode squeezed vacuum, Phys. Rev. B 109, 174410 (2024).
  53. T. Holstein and H. Primakoff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev. 58, 1098 (1940).
  54. C. J. Hamer, Zheng Weihong, and P. Arndt, Third-order spin-wave theory for the Heisenberg antiferromagnet, Phys. Rev. B 46, 6276 (1992).
  55. A. Kamra, E. Thingstad, G. Rastelli, R. A. Duine, A. Brataas, W. Belzig, and A. Sudbø, Antiferromagnetic magnons as highly squeezed Fock states underlying quantum correlations, Phys. Rev. B 100, 174407 (2019).
  56. See Supplemental Material at http://link.aps.org/supplemental/10.1103/f8jq-1cxh for (I) a detailed derivation of the direct dispersive interaction between the two magnon eigenmodes of an antiferromagnet; (II) a description of the spectroscopic setup, numerical simulations, and the procedure for resolving magnonic superpositions; (III) simulation data comparing the performance of a qubit and a bosonic mode as sensors of quantum superpositions; (IV) a derivation of an effective dispersive interaction between a magnon and a phonon mode in the far-detuned limit, with a generalization to other bosonic modes; (V) simulation results demonstrating the influence of Kerr nonlinearity in the probe bosonic mode on sensing at finite temperatures and under strong driving; (VI) Derivations using (A) time-dependent perturbation theory and (B) Lindblad master equation to show the proportionality of spectroscopic peak heights to magnon number statistics; and (VII) Design principles to use (A) an antiferromagnetic magnon or (B) a phonon mode as the probe, which also contains Refs. [96, 97].
  57. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, UK, 2002).
  58. G. Lindblad, On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48, 119 (1976).
  59. H. Y. Yuan, W. P. Sterk, A. Kamra, and R. A. Duine, Master equation approach to magnon relaxation and dephasing, Phys. Rev. B 106, 224422 (2022).
  60. C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, UK, 2005).
  61. J. Johansson, P. Nation, and F. Nori, Qutip: An open-source Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 183, 1760 (2012).
  62. J. Johansson, P. Nation, and F. Nori, QuTip 2: A Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 184, 1234 (2013).
  63. R. J. Glauber, Coherent and incoherent states of the radiation field, Phys. Rev. 131, 2766 (1963).
  64. P. D. Drummond and D. F. Walls, Quantum theory of optical bistability. I. Nonlinear polarisability model, J. Phys. A: Math. Gen. 13, 725 (1980).
  65. C. W. Gardiner and P. Zoller, Quantum Noise, 3rd ed. (Springer, Berlin, 2004).
  66. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford Academic, Oxford, UK, 2010).
  67. C. M. Savage, S. L. Braunstein, and D. F. Walls, Macroscopic quantum superpositions by means of single-atom dispersion, Opt. Lett. 15, 628 (1990).
  68. A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation, Phys. Rev. A 69, 062320 (2004).
  69. D. Zueco, G. M. Reuther, S. Kohler, and P. Hänggi, Qubit-oscillator dynamics in the dispersive regime: Analytical theory beyond the rotating-wave approximation, Phys. Rev. A 80, 033846 (2009).
  70. E. Abrahams and C. Kittel, Spin-lattice relaxation in ferromagnets, Phys. Rev. 88, 1200 (1952).
  71. C. A. Potts, E. Varga, V. A. S. V. Bittencourt, S. V. Kusminskiy, and J. P. Davis, Dynamical backaction magnomechanics, Phys. Rev. X 11, 031053 (2021).
  72. A. Rückriegel, P. Kopietz, D. A. Bozhko, A. A. Serga, and B. Hillebrands, Magnetoelastic modes and lifetime of magnons in thin yttrium iron garnet films, Phys. Rev. B 89, 184413 (2014).
  73. C. Gonzalez-Ballestero, D. Hümmer, J. Gieseler, and O. Romero-Isart, Theory of quantum acoustomagnonics and acoustomechanics with a micromagnet, Phys. Rev. B 101, 125404 (2020).
  74. V. A. S. V. Bittencourt, C. A. Potts, Y. Huang, J. P. Davis, and S. Viola Kusminskiy, Magnomechanical backaction corrections due to coupling to higher-order Walker modes and Kerr nonlinearities, Phys. Rev. B 107, 144411 (2023).
  75. K. Künstle, Y. Kunz, T. Moussa, K. Lasinger, K. Yamamoto, P. Pirro, J. F. Gregg, A. Kamra, and M. Weiler, Magnon-polaron control in a surface magnetoacoustic wave resonator, Nat. Commun. 16, 10116 (2025).
  76. X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Cavity magnomechanics, Sci. Adv. 2, e1501286 (2016).
  77. J. Li, S.-Y. Zhu, and G. S. Agarwal, Magnon-photon-phonon entanglement in cavity magnomechanics, Phys. Rev. Lett. 121, 203601 (2018).
  78. J. Li, S.-Y. Zhu, and G. S. Agarwal, Squeezed states of magnons and phonons in cavity magnomechanics, Phys. Rev. A 99, 021801(R) (2019).
  79. C. Gonzalez-Ballestero, J. Gieseler, and O. Romero-Isart, Quantum acoustomechanics with a micromagnet, Phys. Rev. Lett. 124, 093602 (2020).
  80. M. Brühlmann, Y. Hwang, J. Puebla, and C. Gonzalez-Ballestero, Classical and quantum theory of magnonic and magnetoelastic nonlinear dynamics in continuum geometries, Phys. Rev. B 113, 014430 (2026).
  81. J. R. Schrieffer and P. A. Wolff, Relation between the Anderson and Kondo Hamiltonians, Phys. Rev. 149, 491 (1966).
  82. G. T. Landi, Eigenoperator approach to Schrieffer–Wolff perturbation theory and dispersive interactions, arXiv:2409.10656.
  83. A. H. Morrish, Canted Antiferromagnetism: Hematite (World Scientific, Singapore, 1995), p. 208.
  84. I. Boventer, H. T. Simensen, A. Anane, M. Kläui, A. Brataas, and R. Lebrun, Room-temperature antiferromagnetic resonance and inverse spin-Hall voltage in canted antiferromagnets, Phys. Rev. Lett. 126, 187201 (2021).
  85. H. Wang, Y. Xiao, M. Guo, E. Lee-Wong, G. Q. Yan, R. Cheng, and C. R. Du, Spin pumping of an easy-plane antiferromagnet enhanced by Dzyaloshinskii–Moriya interaction, Phys. Rev. Lett. 127, 117202 (2021).
  86. J. Chen, Z. Jin, R. Yuan, H. Wang, H. Jia, W. Wei, L. Sheng, J. Wang, Y. Zhang, S. Liu, D. Yu, J.-P. Ansermet, P. Yan, and H. Yu, Observation of coherent gapless magnons in an antiferromagnet, Phys. Rev. Lett. 134, 056701 (2025).
  87. H. Al-Hamdo, T. Wagner, P. Schwenke, G. Kendzo, M. Dausend, L. Scheuer, M. Yaqoob, V. I. Vasyuchka, P. Pirro, O. Gomonay, and M. Weiler, Tunable enhancement of magnetization dynamics by selection of the crystallographic orientation of the hybrid interface of exchange-coupled α−Fe2O3/permalloy heterostructures, Phys. Rev. B 111, L180401 (2025).
  88. R. D. Zysler, D. Fiorani, A. M. Testa, M. Godinho, E. Agostinelli, and L. Suber, Size effects in the spin-flop transition of hematite nanoparticles, J. Magn. Magn. Mater. 272-276, 1575 (2004).
  89. K. Vamvakidis, D. Sakellari, M. Angelakeris, and C. Dendrinou-Samara, Size and compositionally controlled manganese ferrite nanoparticles with enhanced magnetization, J. Nanopart. Res. 15, 1743 (2013).
  90. Z. Yang, Q. Li, Y. Liu, X. Jin, and X. Xing, Unexpected surface superparamagnetism in antiferromagnetic Cr2O3 nanoparticles, RSC Adv. 5, 46705 (2015).
  91. S. Foner, High‐field antiferromagnetic resonance in MnF2, Phys. Rev. 130, 183 (1963).
  92. Y. Hwang, J. Puebla, K. Kondou, C. Gonzalez-Ballestero, H. Isshiki, C. S. Muñoz, L. Liao, F. Chen, W. Luo, S. Maekawa, and Y. Otani, Strongly coupled spin waves and surface acoustic waves at room temperature, Phys. Rev. Lett. 132, 056704 (2024).
  93. A. Candeloro, S. Razavian, M. Piccolini, B. Teklu, S. Olivares, and M. G. A. Paris, Quantum probes for the characterization of nonlinear media, Entropy 23, 1353 (2021).
  94. M. Asjad, B. Teklu, and M. G. A. Paris, Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators, Phys. Rev. Res. 5, 013185 (2023).
  95. C. Fruy, A. Théry, B. Hue, W. Legrand, L. Jarjat, J. Bally, J. Craquelin, M. R. Delbecq, A. Cottet, and T. Kontos, Observation of strong tripartite coupling in a cavity-quantum circuit-antiferromagnet platform, Nat. Mater. (2026).
  96. I. C. Skogvoll, J. Lidal, J. Danon, and A. Kamra, Tunable anisotropic quantum Rabi model via a magnon–spin-qubit ensemble, Phys. Rev. Appl. 16, 064008 (2021).
  97. P. Pincus, Theory of magnetic resonance in αFe2O3, Phys. Rev. Lett. 5, 13 (1960).
  98. B. Dey, S. Verma, M. Weiler, and A. Kamra, Sensing magnonic quantum superpositions using a bosonic mode as the probe [Dataset], Zenodo, 2025, https://doi.org/10.5281/zenodo.16752740.

Outline

Information

Phys. Rev. B 114, 084415– Published 18 August, 2026
  • Received 6 August 2025
  • Revised 10 June 2026
  • Accepted 22 July 2026
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation