Fluctuation instabilities via internal resonance in a multimode membrane as a mechanism for frequency combs
arXiv:2409.15138 · doi:10.1103/3mtc-j9r9
Abstract
We explore self-induced parametric coupling, also called internal resonances (IRs), in a membrane nanoelectromechanical system. Specifically, we focus on the formation of a limit cycle manifesting as a phononic frequency comb. Utilizing a pump-noisy-probe technique and theoretical modeling, we reveal the behavior of mechanical excitations revealing themselves as sidebands of the stationary IR response. We find that when the energy-absorbing excitation of a lower mode is parametrically-upconverted to hybridize with a higher mode, significant squeezing and bimodality in the upper mode occurs. Instead, when the upconverted absorbing excitation hybridizes with an emitting sideband of the higher mode, a Hopf bifurcation occurs and a limit cycle forms, manifesting as a frequency comb. We thus reveal a unique mechanism to obtain frequency combs in parametrically-coupled modes. We furthermore demonstrate a rich variety of IR effects, the origin of which significantly extends beyond standard linear parametric coupling phenomena. Our findings enhance the understanding of energy transfer mechanisms with implications for advanced sensing technologies and novel phononic metamaterials.
References in corpus (22)
- Ultrastrong coupling regimes of light-matter interaction
- Mechanical systems in the quantum regime
- Coherent control of a nanomechanical two-level system
- Non-adiabatic dynamics of two strongly coupled nanomechanical resonator modes
- Non-Hermitian chiral phononics through optomechanically-induced squeezing
- Equivalence between an optomechanical system and a Kerr medium
- Level attraction in a microwave optomechanical circuit
- Ultrastrong parametric coupling between a superconducting cavity and a mechanical resonator
- Parametric oscillation, frequency mixing and injection locking of strongly coupled nanomechanical resonator modes
- Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part II: Bifurcation and quasi-periodic response
- Nanomechanical topological insulators with an auxiliary orbital degree of freedom
- The Classical Bloch Equations
- Distinctive class of dissipation-induced phase transitions and their universal characteristics
- Spectral Evidence of Squeezing of a Weakly Damped Driven Nanomechanical Mode
- Unstable Avoided Crossing in Coupled Spinor Condensates
- Excitation of coupled phononic frequency combs via two-mode parametric three-wave mixing
- Distinguishing phases using the dynamical response of driven-dissipative light-matter systems
- Parametric instability in coupled nonlinear microcavities
- Modelling and observation of nonlinear damping in dissipation-diluted nanomechanical resonators
- Strong parametric coupling between two ultra-coherent membrane modes
- Hamiltonian reconstruction via ringdown dynamics
- Quantitative signal extraction in the dynamic range of nanomechanical systems by free and constrained fitting