Quantum squeezing in a nonlinear mechanical oscillator
Abstract: Mechanical degrees of freedom are natural candidates for continuous-variable quantum information processing and bosonic quantum simulations. These applications, however, require the engineering of squeezing and nonlinearities in the quantum regime. Here we demonstrate ground state squeezing of a gigahertz-frequency mechanical resonator coupled to a superconducting qubit. This is achieved by parametrically driving the qubit, which results in an effective two-phonon drive. In addition, we show that the resonator mode inherits a nonlinearity from the off-resonant coupling with the qubit, which can be tuned by controlling the detuning. We thus realize a mechanical squeezed Kerr oscillator, where we demonstrate the preparation of non-Gaussian quantum states of motion with Wigner function negativities and high quantum Fisher information. This shows that our results also have applications in quantum metrology and sensing.
- Y. Chu and S. Gröblacher, Applied Physics Letters 117, 150503 (2020).
- S. Lloyd and S. L. Braunstein, Phys. Rev. Lett. 82, 1784 (1999).
- A. Mari and J. Eisert, Phys. Rev. Lett. 109, 230503 (2012).
- S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005).
- U. von Lüpke, I. C. Rodrigues, Y. Yang, M. Fadel, and Y. Chu, “Engineering phonon-phonon interactions in multimode circuit quantum acousto-dynamics,” (2023), arXiv:2303.00730 [quant-ph] .
- See supplementary materials .
- G. J. Milburn and C. A. Holmes, Phys. Rev. A 44, 4704 (1991).
- B. Wielinga and G. J. Milburn, Phys. Rev. A 48, 2494 (1993).
- H. Goto, Scientific Reports 6, 21686 (2016).
- N. E. Frattini, R. G. Cortinas, J. Venkatraman, X. Xiao, Q. Su, C. U. Lei, B. J. Chapman, V. R. Joshi, S. M. Girvin, R. J. Schoelkopf, S. Puri, and M. H. Devoret, “The squeezed kerr oscillator: spectral kissing and phase-flip robustness,” (2022), arXiv:2209.03934 [quant-ph] .
- D. Iyama, T. Kamiya, S. Fujii, H. Mukai, Y. Zhou, T. Nagase, A. Tomonaga, R. Wang, J.-J. Xue, S. Watabe, S. Kwon, and J.-S. Tsai, “Observation and manipulation of quantum interference in a superconducting kerr parametric oscillator,” (2023), arXiv:2306.12299 [quant-ph] .
- R. Lifshitz and M. C. Cross, “Nonlinear dynamics of nanomechanical and micromechanical resonators,” in Reviews of Nonlinear Dynamics and Complexity (John Wiley & Sons, Ltd, 2008) Chap. 1, pp. 1–52.
- W. Wustmann and V. Shumeiko, Phys. Rev. B 87, 184501 (2013).
- J. Venkatraman, R. G. Cortinas, N. E. Frattini, X. Xiao, and M. H. Devoret, “A driven quantum superconducting circuit with multiple tunable degeneracies,” (2023), arXiv:2211.04605 [quant-ph] .
- A. Eichler and O. Zilberberg, Classical and Quantum Parametric Phenomena, Oxford Graduate Texts (Oxford University Press, 2023).
- A. Kenfack and K. Zyczkowski, J. Opt. B: Quantum Semiclass. Opt. 6, 396 (2004).
- M. Walschaers, PRX Quantum 2, 030204 (2021).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.