2025/07/28 by Souvik Agasti, Agasti, Souvik
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Bipartite graph #Continuous variable #Gaussian #Mechanical and Optical Resonators #Quantum entanglement #Quantum nonlocality #Quantum optics #Variable (mathematics) #stochastic dynamics and bifurcation
paper · pdf · open access · doi:10.1364/oe.598825
published in Optics Express 34(15), 28528 (Optica Publishing Group)
openalex publication_date 2026/07/13 · openalex created_date 2026/07/14 · openalex updated_date 2026/08/05
We derive a general condition for nonlocality using the Banaszek-Wódkiewicz phase-space Wigner representation of Bell’s function in continuous-variable Gaussian states, showing rigorously that while entanglement is necessary, it is not sufficient for nonlocality, whereas nonlocality always implies entanglement. Furthermore, to demonstrate the applicability of the framework, we analyze the two-mode squeezed output generated by a double-cavity optomechanical system coupled to a common mechanical resonator—an experimentally accessible hybrid electro/optomechanical interface. We show that maximal entanglement does not necessarily lead to Bell violation, whereas nonlocality may arise in states with lower entanglement, highlighting the crucial role of mixedness. The developed formalism is universally applicable to all bipartite Gaussian states and provides a general tool for investigating foundational and operational aspects of nonlocality in continuous-variable quantum platforms.