Controlling complex dynamics with synthetic magnetism in optomechanical systems: A route to enhanced sensor performance

Abstract

This paper investigates the complex nonlinear dynamics of an optomechanical system featuring an optical cavity coupled to two mechanical resonators interconnected by a phase-dependent interaction. We specifically explore the role of this phase-dependent phonon hopping as a mechanism for generating synthetic gauge fields without relying on gain-loss or PT-symmetric elements, offering a potentially more robust approach to manipulate mechanical energy transfer. By deriving the semiclassical dynamical equations, we map out the system's behavior across different parameter regimes. Our findings reveal a rich spectrum of dynamics, including bistability (coexistence of two steady states) and the emergence of complex attractors such as self-excited oscillations, hidden attractors, and chaos. We demonstrate how controlling system parameters, particularly the mechanical coupling phase and optical drive, allows for tunability between these distinct dynamical states. The presence of tunable bistability and sensitive chaotic regimes offers significant potential for practical applications. Specifically, we discuss how these controlled dynamics could be leveraged for state-switching in optical information processing and for enhancing sensitivity in advanced sensor technologies through chaos-based mechanisms. This work deepens our understanding of how synthetic gauge fields, generated via phase-dependent interactions, can sculpt the nonlinear dynamics of optomechanical systems, providing a pathway toward designing robust and tunable devices for signal processing, communication, and sensing.

Accepted

References in corpus (14)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Cavity Optomechanics
• Non-Hermitian Physics
• Loss-induced suppression and revival of lasing
• A picogram and nanometer scale photonic crystal opto-mechanical cavity
• Generalized nonreciprocity in an optomechanical circuit via synthetic magnetism and reservoir engineering
• Optomechanical quantum information processing with photons and phonons
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Light stops at exceptional points
• Exceptional point enhances sensitivity of optomechanical mass sensors
• Non-Hermitian dynamics and nonreciprocity of optically coupled nanoparticles
• Room-temperature quantum optomechanics using an ultra-low noise cavity
• Floquet control of optomechanical bistability in multimode systems
• Self-organized synchronization of mechanically coupled resonators based on optomechanics gain-loss balance