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

Probing optomechanical decoherence from an acoustic environment with a superconducting qubit

Guang-Zheng Ye, Ze-Quan Zhang, Wan-Jun Su*, and Huaizhi Wu†

  • Fujian Key Laboratory of Quantum Information and Quantum Optics and Department of Physics, Fuzhou University, Fuzhou 350116, China

  • *Contact author: wanjunsu@fzu.edu.cn
  • †Contact author: huaizhi.wu@fzu.edu.cn

Phys. Rev. Research 8, 013317 – Published 25 March, 2026

DOI: https://doi.org/10.1103/y8bv-m3rv

Abstract

Decoherence in macroscopic quantum systems arises mainly from interactions with the environmental bath, offering key insights into the quantum-classical boundary. In this paper, we study the acoustic-environment-induced effects in a circuit quantum electrodynamics system, where an LC oscillator is optomechanically coupled to a long mechanical strip and capacitively coupled to a superconducting qubit. The mechanical strip functions as an acoustic environment, comprising a continuum of bath modes. The qubit population, serving as a probe of acoustic-environment-induced dephasing (AEID), exhibits collapse and revival dynamics in its Rabi oscillations. The AEID effect is extracted using a Ramsey-like interference scheme, manifesting as a dynamical decay in amplitude and a modification in the oscillation frequency. Our scheme opens avenues for studying the mechanisms of decoherence introduced by acoustic environments and to explore the optomechanically induced nonlinearity by collective acoustic bath modes.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (55)

  1. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009).
  2. A. Bassi, K. Lochan, S. Satin, T. P. Singh, and H. Ulbricht, Models of wave-function collapse, underlying theories, and experimental tests, Rev. Mod. Phys. 85, 471 (2013).
  3. N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Bell nonlocality, Rev. Mod. Phys. 86, 419 (2014).
  4. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  5. S. Barzanjeh, A. Xuereb, S. Gröblacher, M. Paternostro, C. A. Regal, and E. M. Weig, Optomechanics for quantum technologies, Nat. Phys. 18, 15 (2022).
  6. J.-Q. Liao and L. Tian, Macroscopic quantum superposition in cavity optomechanics, Phys. Rev. Lett. 116, 163602 (2016).
  7. 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).
  8. C.-S. Hu, L.-T. Shen, Z.-B. Yang, H. Wu, Y. Li, and S.-B. Zheng, Manifestation of classical nonlinear dynamics in optomechanical entanglement with a parametric amplifier, Phys. Rev. A 100, 043824 (2019).
  9. S. Kotler, G. A. Peterson, E. Shojaee, F. Lecocq, K. Cicak, A. Kwiatkowski, S. Geller, S. Glancy, E. Knill, R. W. Simmonds, J. Aumentado, and J. D. Teufel, Direct observation of deterministic macroscopic entanglement, Science 372, 622 (2021).
  10. R. A. Thomas, M. Parniak, C. Østfeldt, C. B. Møller, C. Bærentsen, Y. Tsaturyan, A. Schliesser, J. Appel, E. Zeuthen, and E. S. Polzik, Entanglement between distant macroscopic mechanical and spin systems, Nat. Phys. 17, 228 (2021).
  11. A. Motazedifard, A. Dalafi, F. Bemani, and M. H. Naderi, Force sensing in hybrid Bose-Einstein-condensate optomechanics based on parametric amplification, Phys. Rev. A 100, 023815 (2019).
  12. V. Peano, H. G. L. Schwefel, C. Marquardt, and F. Marquardt, Intracavity squeezing can enhance quantum-limited optomechanical position detection through deamplification, Phys. Rev. Lett. 115, 243603 (2015).
  13. J. Clarke, P. Neveu, K. E. Khosla, E. Verhagen, and M. R. Vanner, Cavity quantum optomechanical nonlinearities and position measurement beyond the breakdown of the linearized approximation, Phys. Rev. Lett. 131, 053601 (2023).
  14. C. M. Caves, Quantum-mechanical radiation-pressure fluctuations in an interferometer, Phys. Rev. Lett. 45, 75 (1980).
  15. A. Buonanno and Y. Chen, Scaling law in signal recycled laser-interferometer gravitational-wave detectors, Phys. Rev. D 67, 062002 (2003).
  16. L. Conti, M. De Rosa, F. Marin, L. Taffarello, and M. Cerdonio, Room temperature gravitational wave bar detector with optomechanical readout, J. Appl. Phys. 93, 3589 (2003).
  17. B. P. Abbott, et al. (LIGO Scientific Collaboration and Virgo Collaboration), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
  18. J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, Laser cooling of a nanomechanical oscillator into its quantum ground state, Nature (London) 478, 89 (2011).
  19. E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode, Nature (London) 482, 63 (2012).
  20. E. E. Wollman, C. U. Lei, A. J. Weinstein, J. Suh, A. Kronwald, F. Marquardt, A. A. Clerk, and K. C. Schwab, Quantum squeezing of motion in a mechanical resonator, Science 349, 952 (2015).
  21. J.-M. Pirkkalainen, E. Damskägg, M. Brandt, F. Massel, and M. A. Sillanpää, Squeezing of quantum noise of motion in a micromechanical resonator, Phys. Rev. Lett. 115, 243601 (2015).
  22. S. Barzanjeh, E. S. Redchenko, M. Peruzzo, M. Wulf, D. P. Lewis, G. Arnold, and J. M. Fink, Stationary entangled radiation from micromechanical motion, Nature (London) 570, 480 (2019).
  23. G. Heinrich, M. Ludwig, J. Qian, B. Kubala, and F. Marquardt, Collective dynamics in optomechanical arrays, Phys. Rev. Lett. 107, 043603 (2011).
  24. A. Xuereb, C. Genes, and A. Dantan, Strong coupling and long-range collective interactions in optomechanical arrays, Phys. Rev. Lett. 109, 223601 (2012).
  25. M. Ludwig and F. Marquardt, Quantum many-body dynamics in optomechanical arrays, Phys. Rev. Lett. 111, 073603 (2013).
  26. A. Xuereb, C. Genes, G. Pupillo, M. Paternostro, and A. Dantan, Reconfigurable long-range phonon dynamics in optomechanical arrays, Phys. Rev. Lett. 112, 133604 (2014).
  27. A. Xuereb, A. Imparato, and A. Dantan, Heat transport in harmonic oscillator systems with thermal baths: Application to optomechanical arrays, New J. Phys. 17, 055013 (2015).
  28. O. Černotík, S. Mahmoodian, and K. Hammerer, Spatially adiabatic frequency conversion in optoelectromechanical arrays, Phys. Rev. Lett. 121, 110506 (2018).
  29. F. Carollo, K. Brandner, and I. Lesanovsky, Nonequilibrium many-body quantum engine driven by time-translation symmetry breaking, Phys. Rev. Lett. 125, 240602 (2020).
  30. Q.-Y. Qiu, Z.-G. Lu, Q. He, Y. Wu, and X.-Y. Lü, Genuine multipartite entanglement induced by a thermal acoustic reservoir, Phys. Rev. B 110, L220301 (2024).
  31. W. H. Renninger, P. Kharel, R. O. Behunin, and P. T. Rakich, Bulk crystalline optomechanics, Nat. Phys. 14, 601 (2018).
  32. Y. Minoguchi, P. Kirton, and P. Rabl, Environment-induced Rabi oscillations in the optomechanical Boson-Boson model, arXiv:1904.02164.
  33. Q. Xu and M. P. Blencowe, Cavity mode dephasing via the optomechanical interaction with an acoustic environment, Phys. Rev. A 104, 063509 (2021).
  34. Q. Xu and M. P. Blencowe, Optomechanical quantum entanglement mediated by acoustic phonon fields, Phys. Rev. Lett. 129, 203604 (2022).
  35. Q. Xu and M. P. Blencowe, Zero-dimensional models for gravitational and scalar QED decoherence, New J. Phys. 24, 113048 (2022).
  36. V. S. Ferreira, J. Banker, A. Sipahigil, M. H. Matheny, A. J. Keller, E. Kim, M. Mirhosseini, and O. Painter, Collapse and revival of an artificial atom coupled to a structured photonic reservoir, Phys. Rev. X 11, 041043 (2021).
  37. J. Clarke and F. K. Wilhelm, Superconducting quantum bits, Nature (London) 453, 1031 (2008).
  38. G. Wendin, Quantum information processing with superconducting circuits: A review, Rep. Prog. Phys. 80, 106001 (2017).
  39. P. Krantz, M. Kjaergaard, F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver, A quantum engineer's guide to superconducting qubits, Appl. Phys. Rev. 6, 021318 (2019).
  40. A. Blais, S. M. Girvin, and W. D. Oliver, Quantum information processing and quantum optics with circuit quantum electrodynamics, Nat. Phys. 16, 247 (2020).
  41. A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
  42. 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).
  43. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-. S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics, Nature (London) 431, 162 (2004).
  44. S. Haroche, M. Brune, and J. M. Raimond, From cavity to circuit quantum electrodynamics, Nat. Phys. 16, 243 (2020).
  45. J.-H. Lü, W. Ning, F. Wu, R.-H. Zheng, K. Chen, X. Zhu, Z.-B. Yang, H.-Z. Wu, and S.-B. Zheng, Critical quantum metrology robust against dissipation and nonadiabaticity, Sci. Adv. 12 eady2358 (2026).
  46. P. Rabl, Photon blockade effect in optomechanical systems, Phys. Rev. Lett. 107, 063601 (2011).
  47. M. Reagor, W. Pfaff, C. Axline, R. W. Heeres, N. Ofek, K. Sliwa, E. Holland, C. Wang, J. Blumoff, K. Chou, M. J. Hatridge, L. Frunzio, M. H. Devoret, L. Jiang, and R. J. Schoelkopf, Quantum memory with millisecond coherence in circuit QED, Phys. Rev. B 94, 014506 (2016).
  48. H. Zhang, S. Chakram, T. Roy, N. Earnest, Y. Lu, Z. Huang, D. K. Weiss, J. Koch, and D. I. Schuster, Universal fast-flux control of a coherent, low-frequency qubit, Phys. Rev. X 11, 011010 (2021).
  49. A. Somoroff, Q. Ficheux, R. A. Mencia, H. Xiong, R. Kuzmin, and V. E. Manucharyan, Millisecond coherence in a superconducting qubit, Phys. Rev. Lett. 130, 267001 (2023).
  50. N. B. Narozhny, J. J. Sanchez-Mondragon, and J. H. Eberly, Coherence versus incoherence: Collapse and revival in a simple quantum model, Phys. Rev. A 23, 236 (1981).
  51. P. L. Knight and P. M. Radmore, Quantum origin of dephasing and revivals in the coherent-state Jaynes-Cummings model, Phys. Rev. A 26, 676 (1982).
  52. A. De and R. Joynt, Magnetization-noise-induced collapse and revival of Rabi oscillations in circuit QED, Phys. Rev. A 87, 042336 (2013).
  53. H. Pimenta and D. F. V. James, Characteristic-function approach to the Jaynes-Cummings-model revivals, Phys. Rev. A 94, 053803 (2016).
  54. H. Azuma, Insensitivity of the two-photon Jaynes-Cummings model to thermal noise, Phys. Rev. A 110, 063714 (2024).
  55. S. Bose, K. Jacobs, and P. L. Knight, Preparation of nonclassical states in cavities with a moving mirror, Phys. Rev. A 56, 4175 (1997).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation