AI 中文总结
该研究揭示振荡器与动力学伊辛机中，二次谐波注入和网络场的竞争通过星形旋节边界实现单双稳态转变，其势垒标度规律与Stoner–Wohlfarth能量存在关联。
AI 中文摘要
振荡器伊辛机（OIMs）和动力学伊辛机（DIMs）通过二次谐波注入（SHI）稳定的相位态编码二元自旋。在耦合网络中，SHI与瞬时局部网络场的竞争会重塑每个振荡器的条件能量景观。我们表明，这种竞争通过星形旋节边界驱动单稳态和双稳态区域之间的转变。在该边界附近，势垒在一般光滑点处满足ΔE_i∝μ_i^(3/2)，在纵向尖点处满足ΔE_i∝μ_i^2。OIMs和DIMs遵循相同的旋节几何，其条件景观通过横向场的反转相关。最后，一次谐波条件景观在相差一个加性常数的情况下，数学上等价于单轴磁性粒子的Stoner–Wohlfarth能量。
英文摘要
Oscillator Ising machines (OIMs) and dynamical Ising machines (DIMs) encode binary spins in phase states stabilized by second-harmonic injection (SHI). In a coupled network, the competition between SHI and the instantaneous local network field reshapes each oscillator's conditional energy landscape. We show that this competition drives a transition between monostable and bistable regimes through an astroid spinodal boundary. Near this boundary, the barrier scales as $ΔE_i\proptoμ_i^{3/2}$ at generic smooth points and as $ΔE_i\proptoμ_i^{2}$ at the longitudinal cusp. OIMs and DIMs obey the same spinodal geometry, with their conditional landscapes related by a reversal of the transverse field. Finally, the first-harmonic conditional landscape is mathematically equivalent, up to an additive constant, to the Stoner--Wohlfarth energy of a uniaxial magnetic particle.
