AI 中文总结
该研究从实验和理论上证明，带常规受控非线性摩擦的微机械振荡器中可通过燕尾突变诱导两对周期二态共存，拓宽了参数共振的理解并确立了相关研究平台。
AI 中文摘要
参数共振是从纳米机械谐振器到量子信息系统、伊辛机等众多物理系统运行的基础。作为受驱动耗散系统的典型类，参数振荡器通常被认为会呈现一对具有相反相位的稳定周期二态，这种双稳态行为既可以模拟自旋哈密顿量，也能制备超导猫态。然而，单个振荡器中能否共存多对这样的状态仍是一个未解决的问题。本文从实验和理论上证明，常规的受控非线性摩擦可在微机械振荡器中诱导两对不同的周期二态共存；该摩擦通过经典方法实现，利用驱动诱导的共振耦合将两个振动量子从振荡模式转移到衰减更快的模式。研究表明，多稳态的出现由燕尾突变控制，并定量绘制了相关的分岔结构。本研究结果拓宽了对参数共振的理解，并确立了微、纳米机械振荡器作为研究突变理论和多稳态非平衡动力学的通用平台。
英文摘要
Parametric resonance underpins the operation of a wide range of physical systems, from nanomechanical resonators to quantum-information systems and Ising machines. As an archetypal class of driven-dissipative systems, parametric oscillators are generally expected to exhibit a single pair of stable period-two states with opposite phases. This bistable behavior enables both the simulation of spin Hamiltonians and the preparation of superconducting cat states. Whether multiple pairs of such states can coexist in a single oscillator, however, remains an open question. Here, we show experimentally and theoretically that conventional controlled nonlinear friction can induce the coexistence of two distinct pairs of period-two states in a micromechanical oscillator. The friction is implemented via a canonical approach, utilizing a drive-induced resonant coupling that transfers two vibrational quanta from the oscillatory mode to a faster decaying mode. We demonstrate that the onset of multistability is governed by a swallowtail catastrophe and quantitatively map the associated bifurcation structure. Our results broaden the understanding of parametric resonance and establish micro- and nano-mechanical oscillators as a versatile platform for studying catastrophe theory and multistable nonequilibrium dynamics.
Comments32 pages, 8 figures
