Nonclassical signatures of photon-phonon antibunching in a multifield driven optomechanical cavity
Abstract: Destructive interference-based photon-phonon antibunching can lead to violations of classical inequalities in optomechanical cavity systems. In this paper, we explore the violation of the classical Cauchy-Schwarz inequality by examining second-order auto-correlation and cross-correlation functions, as well as Bell's nonlocality, to analyze the quantum correlations of single photon-phonon excitations when the system is driven by two weak probe fields. We propose that the violation of the Cauchy-Schwarz inequality can serve as an indicator for the stronger nonclassical tests associated with Bell's theorem. Our system reveals strong quantum correlations of photon-phonon pairs with distinctive antidiagonal patterns of photon filtering. For numerical analysis, we consider a weak effective optomechanical coupling strength and various optical-to-mechanical field amplitude ratios that enable unconventional photon (phonon) blockades at resonance. The findings are significant for producing sub-Poissonian signals under optimal conditions and have potential applications in hybrid systems for generating on-demand single photon-phonon pairs.
- G. S. Agarwal, Quantum optics (Cambridge University Press, 2012).
- A. M. Marino, V. Boyer, and P. D. Lett, Violation of the cauchy-schwarz inequality in the macroscopic regime, Physical review letters 100, 233601 (2008).
- H. J. Kimble, M. Dagenais, and L. Mandel, Photon antibunching in resonance fluorescence, Phys. Rev. Lett. 39, 691 (1977).
- J. Steele, The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities, MAA problem books series (Cambridge University Press, 2004).
- M. Reid and D. Walls, Violations of classical inequalities in quantum optics, Physical Review A 34, 1260 (1986).
- N. A. Ansari and M. S. Zubairy, Violation of cauchy-schwarz and bell’s inequalities in four-wave mixing, Physical Review A 38, 2380 (1988).
- H. Wu and M. Xiao, Bright correlated twin beams from an atomic ensemble in the optical cavity, Physical Review A 80, 063415 (2009).
- M. Trif and P. Simon, Photon cross-correlations emitted by a josephson junction in two microwave cavities, Physical Review B 92, 014503 (2015).
- M. O. Araújo, L. S. Marinho, and D. Felinto, Observation of nonclassical correlations in biphotons generated from an ensemble of pure two-level atoms, Physical Review Letters 128, 083601 (2022).
- Y. Fan, J. Li, and Y. Wu, Nonclassical magnon pair generation and cauchy-schwarz inequality violation, Physical Review A 108, 053715 (2023).
- J. M. de Nova, F. Sols, and I. Zapata, Violation of cauchy-schwarz inequalities by spontaneous hawking radiation in resonant boson structures, Physical Review A 89, 043808 (2014).
- J. S. Bell, Speakable and unspeakable in quantum mechanics: Collected papers on quantum philosophy (Cambridge university press, 2004).
- A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete?, Physical review 47, 777 (1935).
- M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Reviews of Modern Physics 86, 1391 (2014).
- J. Guo, R. Norte, and S. Gröblacher, Feedback cooling of a room temperature mechanical oscillator close to its motional ground state, Physical review letters 123, 223602 (2019).
- J. M. Dobrindt, I. Wilson-Rae, and T. J. Kippenberg, Parametric normal-mode splitting in cavity optomechanics, Physical Review Letters 101, 263602 (2008).
- T. C. H. Liew and V. Savona, Single photons from coupled quantum modes, Phys. Rev. Lett. 104, 183601 (2010).
- S. Aldana, C. Bruder, and A. Nunnenkamp, Equivalence between an optomechanical system and a kerr medium, Physical Review A 88, 043826 (2013).
- R. H. Brown and R. Q. Twiss, Correlation between photons in two coherent beams of light, Nature 177, 27 (1956).
- N. Lörch and K. Hammerer, Sub-poissonian phonon lasing in three-mode optomechanics, Physical Review A 91, 061803 (2015).
- M.-A. Lemonde, N. Didier, and A. A. Clerk, Antibunching and unconventional photon blockade with gaussian squeezed states, Physical Review A 90, 063824 (2014).
- A. Nunnenkamp, K. Børkje, and S. M. Girvin, Single-photon optomechanics, Physical review letters 107, 063602 (2011).
- S. Huang and G. Agarwal, Normal-mode splitting and antibunching in stokes and anti-stokes processes in cavity optomechanics: radiation-pressure-induced four-wave-mixing cavity optomechanics, Physical Review A 81, 033830 (2010).
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.