- Open Access
Preparing magnonic non-Gaussian states by adding a single magnon onto Gaussian states
Phys. Rev. Research 7, 023242 – Published 10 June, 2025
DOI: https://doi.org/10.1103/jr6g-dcnp
Abstract
Quantum magnonics based on yttrium iron garnet (YIG) spheres provides a new arena for observing macroscopic quantum states. Here, we propose to prepare two kinds of non-Gaussian magnonic states by adding a single magnon to two Gaussian states, namely, coherent and thermal states. We adopt an optomagnonic system of a YIG sphere and use fast optical pulses to weakly activate the magnon-induced Stokes scattering. Conditioned on the detection of a polarized single photon, a single magnon can be added to an initial Gaussian state. We use a microwave cavity to prepare an initial magnon coherent state and finally read out the generated single-magnon added coherent or thermal state. Both the non-Gaussian states of a magnon mode in a large YIG sphere are macroscopic quantum states, which exhibit many nonclassical properties, such as sub-Poissonian statistics, quadrature squeezing, and a negative Wigner function. Further, both states show a smooth transition from a quantum state to a classical state with the change of the coherent or thermal magnon excitations and thus can be used for the fundamental study of the quantum-to-classical transition.
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References (78)
- M. G. Genoni, M. L. Palma, T. Tufarelli, S. Olivares, M. S. Kim, and M. G. A. Paris, Detecting quantum non-Gaussianity via the Wigner function, Phys. Rev. A 87, 062104 (2013).
- M. Walschaers, Non-Gaussian quantum states and where to find them, PRX Quantum 2, 030204 (2021).
- G. S. Agarwal and K. Tara, Nonclassical properties of states generated by the excitations on a coherent state, Phys. Rev. A 43, 492 (1991).
- G. S. Agarwal and K. Tara, Nonclassical character of states exhibiting no squeezing or sub-Poissonian statistics, Phys. Rev. A 46, 485 (1992).
- M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter, Phys. Rev. A 55, 3184 (1997).
- J. Wenger, R. Tualle-Brouri, and P. Grangier, Non-Gaussian statistics from individual pulses of squeezed light, Phys. Rev. Lett. 92, 153601 (2004).
- I. Afek, O. Ambar, and Y. Silberberg, High-NOON states by mixing quantum and classical light, Science 328, 879 (2010).
- L.-F. Fan and M. Suhail Zubairy, Quantum illumination using non-Gaussian states generated by photon subtraction and photon addition, Phys. Rev. A 98, 012319 (2018).
- V. Giovannetti, S. Lloyd, and L. Maccone, Advances in quantum metrology, Nat. Photon. 5, 222 (2011).
- T. Opatrný, G. Kurizki, and D.-G. Welsch, Improvement on teleportation of continuous variables by photon subtraction via conditional measurement, Phys. Rev. A 61, 032302 (2000).
- A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri, and P. Grangier, Increasing entanglement between Gaussian states by coherent photon subtraction, Phys. Rev. Lett. 98, 030502 (2007).
- A. Zavatta, S. Viciani, and M. Bellini, Quantum-to-classical transition with single-photon-added coherent states of light, Science 306, 660 (2004).
- A. Zavatta, S. Viciani, and M. Bellini, Single-photon excitation of a coherent state: Catching the elementary step of stimulated light emission, Phys. Rev. A 72, 023820 (2005).
- A. Zavatta, V. Parigi, and M. Bellini, Experimental nonclassicality of single-photon-added thermal light states, Phys. Rev. A 75, 052106 (2007).
- C. Monroe, D. M. Meekhof, B. E. King, and D. J. Wineland, A Schrödinger cat superposition state of an atom, Science 272, 1131 (1996).
- K. G. Johnson, J. D. Wong-Campos, B. Neyenhuis, J. Mizrahi, and C. Monroe, Ultrafast creation of large Schrödinger cat states of an atom, Nat. Commun. 8, 697 (2017).
- D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, Generation of nonclassical motional states of a trapped atom, Phys. Rev. Lett. 76, 1796 (1996).
- Ch. Roos, Th. Zeiger, H. Rohde, H. C. Nägerl, J. Eschner, D. Leibfried, F. Schmidt-Kaler, and R. Blatt, Quantum state engineering on an optical transition and decoherence in a Paul trap, Phys. Rev. Lett. 83, 4713 (1999).
- B. Hacker, S. Welte, S. Daiss, A. Shaukat, S. Ritter, L. Li, and G. Rempe, Deterministic creation of entangled atom–light Schrödinger-cat states, Nat. Photon. 13, 110 (2019).
- 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).
- M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
- F. Khalili, S. Danilishin, H.-X. Miao, H. Müller-Ebhardt, H. Yang, and Y.-B. Chen, Preparing a mechanical oscillator in non-Gaussian quantum states, Phys. Rev. Lett. 105, 070403 (2010).
- S. Hong, R. Riedinger, I. Marinković, A. Wallucks, S. G. Hofer, R. A. Norte, M. Aspelmeyer, and S. Gröblacher, Hanbury Brown and Twiss interferometry of single phonons from an optomechanical resonator, Science 358, 203 (2017).
- C. Galland, N. Sangouard, N. Piro, N. Gisin, and T. J. Kippenberg, Heralded single-phonon preparation, storage, and readout in cavity optomechanics, Phys. Rev. Lett. 112, 143602 (2014).
- I. Shomroni, L. Qiu, and T. J. Kippenberg, Optomechanical generation of a mechanical catlike state by phonon subtraction, Phys. Rev. A 101, 033812 (2020).
- H.-P. Zhan, G.-X. Li, and H.-T. Tan, Preparing macroscopic mechanical quantum superpositions via photon detection, Phys. Rev. A 101, 063834 (2020).
- J. Li, S. Gröblacher, S.-Y. Zhu, and G. S. Agarwal, Generation and detection of non-Gaussian phonon-added coherent states in optomechanical systems, Phys. Rev. A 98, 011801(R) (2018).
- G. Enzian, J. J. Price, L. Freisem, J. Nunn, J. Janousek, B. C. Buchler, P. K. Lam, and M. R. Vanner, Single-phonon addition and subtraction to a mechanical thermal state, Phys. Rev. Lett. 126, 033601 (2021).
- R. N. Patel, T. P. McKenna, Z. Y. Wang, J. D. Witmer, W. T. Jiang, R. V. Laer, C. J. Sarabalis, and A. H. Safavi-Naeini, Room-temperature mechanical resonator with a single added or subtracted phonon, Phys. Rev. Lett. 127, 133602 (2021).
- Y.-W. Chu, P. Kharel, T. Yoon, L. Frunzio, P. T. Rakich, and R. J. Schoelkopf, Creation and control of multi-phonon Fock states in a bulk acoustic-wave resonator, Nature (London) 563, 666 (2018).
- M. Bild, M. Fadel, Y. Yang, U. von Lüpke, P. Martin, A. Bruno, and Y.-W. Chu, Schrödinger cat states of a 16-microgram mechanical oscillator, Science 380, 274 (2023).
- D. Lachance-Quirion, Y. Tabuchi, A. Gloppe, K. Usami, and Y. Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019).
- 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).
- B. Z. Rameshti, S. V. Kusminskiy, J. A. Haigh, K. Usami, D. Lachance-Quirion, Y. Nakamura, C.-M. Hu, H. X. Tang, G. E. Bauer, and Y. M. Blanter, Cavity magnonics, Phys. Rep. 979, 1 (2022).
- X. Zuo, Z.-Y. Fan, H. Qian, M.-S. Ding, H. Tan, H. Xiong, and J. Li, Cavity magnomechanics: from classical to quantum, New J. Phys. 26, 031201 (2024).
- H. Huebl, C. W. Zollitsch, J. Lotze, F. Hocke, M. Greifenstein, A. Marx, R. Gross, and S. T. B. Goennenwein, High cooperativity in coupled microwave resonator rerrimagnetic insulator hybrids, Phys. Rev. Lett. 111, 127003 (2013).
- Y. Tabuchi, S. Ishino, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Hybridizing ferromagnetic magnons and microwave photons in the quantum limit, Phys. Rev. Lett. 113, 083603 (2014).
- X. Zhang, C. L. Zou, L. Jiang, and H. X. Tang, Strongly coupled magnons and cavity microwave photons, Phys. Rev. Lett. 113, 156401 (2014).
- R. Hisatomi, A. Osada, Y. Tabuchi, T. Ishikawa, A. Noguchi, R. Yamazaki, K. Usami, and Y. Nakamura, Bidirectional conversion between microwave and light via ferromagnetic magnons, Phys. Rev. B 93, 174427 (2016).
- A. Osada, R. Hisatomi, A. Noguchi, Y. Tabuchi, R. Yamazaki, K. Usami, M. Sadgrove, R. Yalla, M. Nomura, and Y. Nakamura, Cavity optomagnonics with spin-orbit coupled photons, Phys. Rev. Lett. 116, 223601 (2016).
- X. Zhang, N. Zhu, C.-L. Zou, and H. X. Tang, Optomagnonic whispering gallery microresonators, Phys. Rev. Lett. 117, 123605 (2016).
- J. A. Haigh, A. Nunnenkamp, A. J. Ramsay, and A. J. Ferguson, Triple-resonant Brillouin light scattering in magneto-optical cavities, Phys. Rev. Lett. 117, 133602 (2016).
- A. Osada, A. Gloppe, R. Hisatomi, A. Noguchi, R. Yamazaki, M. Nomura, Y. Nakamura, and K. Usami, Brillouin light scattering by magnetic quasivortices in cavity optomagnonics, Phys. Rev. Lett. 120, 133602 (2018).
- J. A. Haigh, A. Nunnenkamp, and A. J. Ramsay, Polarization dependent scattering in cavity optomagnonics, Phys. Rev. Lett. 127, 143601 (2021).
- X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Cavity magnomechanics, Sci. Adv. 2, e1501286 (2016).
- J. Li, S.-Y. Zhu, and G. S. Agarwal, Magnon-photon-phonon entanglement in cavity magnomechanics, Phys. Rev. Lett. 121, 203601 (2018).
- 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).
- R.-C. Shen, J. Li, Z.-Y. Fan, Y.-P. Wang, and J. Q. You, Mechanical bistability in Kerr-modified cavity magnomechanics, Phys. Rev. Lett. 129, 123601 (2022).
- Z. Shen, G.-T. Xu, M. Zhang, Y.-L. Zhang, Y. Wang, C.-Z. Chai, C.-L. Zou, G.-C. Guo, and C.-H. Dong, Coherent coupling between phonons, magnons, and photons, Phys. Rev. Lett. 129, 243601 (2022).
- 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).
- 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).
- 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).
- D. Xu, X.-K. Gu, H.-K. Li, Y.-C. Weng, Y.-P. Wang, J. Li, H. Wang, S.-Y. Zhu, and J. You, Quantum control of a single magnon in a macroscopic spin system, Phys. Rev. Lett. 130, 193603 (2023).
- V. A. S. V. Bittencourt, V. Feulner, and S. V. Kusminskiy, Magnon heralding in cavity optomagnonics, Phys. Rev. A 100, 013810 (2019).
- 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).
- F.-X. Sun, S.-S. Zheng, Y. Xiao, Q. H. Gong, Q. Y. He, and K. Xia, Remote generation of magnon Schrödinger cat state via magnon-photon entanglement, Phys. Rev. Lett. 127, 087203 (2021).
- S. Sharma, V. A. S. V. Bittencourt, A. D. Karenowska, and S. V. Kusminskiy, Spin cat states in ferromagnetic insulators, Phys. Rev. B 103, L100403 (2021).
- M. Kounalakis, G. E. W. Bauer, and Y. M. Blanter, Analog quantum control of magnonic cat states on a chip by a superconducting qubit, Phys. Rev. Lett. 129, 037205 (2022).
- S. He, X. Xin, F.-Y. Zhang, and C. Li, Generation of a Schrödinger cat state in a hybrid ferromagnet-superconductor system, Phys. Rev. A 107, 023709 (2023).
- Y.-B. Hou, X.-L. Hei, X.-F. Pan, J.-K. Xie, Y.-L. Ren, S.-L. Ma, F.-L. Li, and P.-B. Li, Robust generation of a magnonic cat state via a superconducting flux qubit, Phys. Rev. A 110, 013711 (2024).
- W.-J. Wu, Y.-P. Wang, J.-Z. Wu, J. Li, and J. Q. You, Remote magnon entanglement between two massive ferrimagnetic spheres via cavity optomagnonics, Phys. Rev. A 104, 023711 (2021).
- S.-F. Qi and J. Jing, Floquet generation of a magnonic NOON state, Phys. Rev. A 107, 013702 (2023).
- A. G. Gurevich and G. A. Melkov, Magnetization Oscillations and Waves (CRC Press, Boca Raton, FL, 1996).
- S. Sharma, Y. M. Blanter, and G. E. W. Bauer, Light scattering by magnons in whispering gallery mode cavities, Phys. Rev. B 96, 094412 (2017).
- P. A. Pantazopoulos, N. Stefanou, E. Almpanis, and N. Papanikolaou, Photomagnonic nanocavities for strong light-spin-wave interaction, Phys. Rev. B 96, 104425 (2017).
- A. Osada, A. Gloppe, Y. Nakamura, and K. Usami, Orbital angular momentum conservation in Brillouin light scattering within a ferromagnetic sphere, New J. Phys. 20, 103018 (2018).
- J. A. Haigh, N. J. Lambert, S. Sharma, Y. M. Blanter, G. E. W. Bauer, and A. J. Ramsay, Selection rules for cavity-enhanced Brillouin light scattering from magnetostatic modes, Phys. Rev. B 97, 214423 (2018).
- S. Sharma, Y. M. Blanter, and G. E. W. Bauer, Optical cooling of magnons, Phys. Rev. Lett. 121, 087205 (2018).
- J. Li, Y.-P. Wang, W.-J. Wu, S.-Y. Zhu, and J. Q. You, Quantum network with magnonic and mechanical nodes, PRX Quantum 2, 040344 (2021).
- H. Xie, Z.-G. Shi, L.-W. He, X. Chen, C.-G. Liao, and X.-M. Lin, Proposal for a Bell test in cavity optomagnonics, Phys. Rev. A 105, 023701 (2022).
- R. Riedinger, S. Hong, R. A. Norte, J. A. Slater, J. Shang, A. G. Krause, V. Anant, M. Aspelmeyer, and S. Gröblacher, Non-classical correlations between single photons and phonons from a mechanical oscillator, Nature (London) 530, 313 (2016).
- S. G. Hofer, W. Wieczorek, M. Aspelmeyer, and K. Hammerer, Quantum entanglement and teleportation in pulsed cavity optomechanics, Phys. Rev. A 84, 052327 (2011).
- 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).
- R.-C. Shen, J. Li, Y.-M. Sun, W.-J. Wu, X. Zuo, Y.-P. Wang, S.-Y. Zhu, and J. Q. You, Polaromechanics: Cavity-magnon polaritons strongly coupled to phonons, arXiv:2307.11328.
- L. Mandel, Sub-Poissonian photon statistics in resonance fluorescence, Opt. Lett. 4, 205 (1979).
- E. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40, 749 (1932).
- A. Kenfack and K. Życzkowski, Negativity of the Wigner function as an indicator of non-classicality, J. Opt. B 6, 396 (2004).
- F. Mallet, M. A. Castellanos-Beltran, H. S. Ku, S. Glancy, E. Knill, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, Quantum state tomography of an itinerant squeezed microwave field, Phys. Rev. Lett. 106, 220502 (2011).