Nonclassical mechanical states in cavity optomechanics in the single-photon strong-coupling regime
Abstract: Generating nonclassical states of mechanical systems is a challenge relevant for testing the foundations of quantum mechanics and developing quantum technologies. Significant effort has been made to search for such states in the stationary behaviour of cavity optomechanical systems. We focus instead on the transient dynamics. We find that in the strong coupling regime the presence of an optical drive causes an initial mechanical coherent state to evolve to a nonclassical state, with strongly negative Wigner function. An analytical treatment for weak drive reveals that these states are quantum superpositions of coherent states. Numerical simulation shows that the presence of Wigner negativity is robust against weak dissipation.
- E. Schrödinger, Die gegenwärtige Situation in der Quantenmechanik (engl. transl. Trimmer JP 1980 proc. Am. Phil. Soc. 124 323), Naturwissenschaften 23, 807 (1935).
- Y. Chen, Macroscopic quantum mechanics: Theory and experimental concepts of optomechanics, Journal of Physics B: Atomic, Molecular and Optical Physics 46, 104001 (2013).
- F. Pistolesi, A. N. Cleland, and A. Bachtold, Proposal for a Nanomechanical Qubit, Physical Review X 11, 031027 (2021).
- VB. Braginski and AB. Manukin, Ponderomotive effects of electromagnetic radiation, Soviet Physics–JETP [translation of Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki] 25, 653 (1967).
- M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Reviews of Modern Physics 86, 1391 (2014).
- P. Rabl, Photon Blockade Effect in Optomechanical Systems, Physical Review Letters 107, 063601 (2011).
- A. Nunnenkamp, K. Børkje, and S. M. Girvin, Single-Photon Optomechanics, Physical Review Letters 107, 063602 (2011).
- M.-A. Lemonde, N. Didier, and A. A. Clerk, Nonlinear Interaction Effects in a Strongly Driven Optomechanical Cavity, Physical Review Letters 111, 053602 (2013).
- P. D. Nation, Nonclassical mechanical states in an optomechanical micromaser analog, Physical Review A 88, 053828 (2013).
- B. D. Hauer, J. Combes, and J. D. Teufel, Nonlinear Sideband Cooling to a Cat State of Motion, Physical Review Letters 130, 213604 (2023).
- S. Mancini, V. I. Man’ko, and P. Tombesi, Ponderomotive control of quantum macroscopic coherence, Physical Review A 55, 3042 (1997).
- S. Bose, K. Jacobs, and P. L. Knight, Preparation of nonclassical states in cavities with a moving mirror, Physical Review A 56, 4175 (1997).
- B. Yurke and D. Stoler, Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion, Physical Review Letters 57, 13 (1986).
- S. Bose, K. Jacobs, and P. L. Knight, Scheme to probe the decoherence of a macroscopic object, Physical Review A 59, 3204 (1999).
- U. Akram, W. P. Bowen, and G. J. Milburn, Entangled mechanical cat states via conditional single photon optomechanics, New Journal of Physics 15, 093007 (2013).
- S. Mancini and P. Tombesi, Quantum noise reduction by radiation pressure, Physical Review A 49, 4055 (1994).
- C. K. Law, Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation, Physical Review A 51, 2537 (1995).
- IG. Lang and Y. A. Firsov, Kinetic theory of semiconductors with low mobility, Soviet Physics–JETP [translation of Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki] 16, 1301 (1963).
- G. D. Mahan, Many-Particle Physics (Springer Science & Business Media, 2000).
- H. Moya-Cessa and P. L. Knight, Series representation of quantum-field quasiprobabilities, Physical Review A 48, 2479 (1993).
- A. Wunsche, Displaced Fock states and their connection to quasiprobabilities, Quantum Optics: Journal of the European Optical Society Part B 3, 359 (1991).
- M. Ludwig, B. Kubala, and F. Marquardt, The optomechanical instability in the quantum regime, New Journal of Physics 10, 095013 (2008).
- C. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, Springer Series in Synergetics (Springer, 2004).
- J. R. Johansson, P. D. Nation, and F. Nori, QuTiP: An open-source Python framework for the dynamics of open quantum systems, Computer Physics Communications 183, 1760 (2012).
- J. R. Johansson, P. D. Nation, and F. Nori, QuTiP 2: A Python framework for the dynamics of open quantum systems, Computer Physics Communications 184, 1234 (2013).
- R. Leijssen and E. Verhagen, Strong optomechanical interactions in a sliced photonic crystal nanobeam, Scientific Reports 5, 15974 (2015).
- A. Bozkurt, C. Joshi, and M. Mirhosseini, Deep sub-wavelength localization of light and sound in dielectric resonators, Optics Express 30, 12378 (2022).
- M. R. Vanner, I. Pikovski, and M. S. Kim, Towards optomechanical quantum state reconstruction of mechanical motion, Annalen der Physik 527, 15 (2015).
- J.-Q. Liao and F. Nori, Spectrometric reconstruction of mechanical-motional states in optomechanics, Physical Review A 90, 023851 (2014).
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.