论文标题
量子同步在二次耦合量子范围振荡器中
Quantum Synchronization in quadratically coupled quantum van der Pol oscillators
论文作者
论文摘要
我们在耦合的van der振荡器中实现非线性非谐波相互作用，以研究系统的量子同步行为。我们研究了两个振荡器模型中的量子同步，耦合的量子范围振荡器和非谐波自动振荡器。我们证明，所考虑的系统通过在经典和量子域中的耦合表现出高阶同步。我们表明，由于振荡器之间非线性相互作用的非谐性，系统在相位锁定状态下表现出声子阻断，这是一种纯粹的非经典效应，在经典域中尚未观察到。我们还证明，对于耦合的非谐振荡器，系统显示由于非线性相互作用而显示的多个共振相位锁定行为。我们指出，同步阻滞是由于振荡器之间强烈的反相关引起的，从而导致在相同的参数状态下引起声子抗启动。在Anharmonic振荡器的情况下，我们说明了同时出现的束和抗抗激素效应，这是由于非谐振荡器之间的同时负相关和正相关的结果。我们使用功率谱在振荡器的频率夹带中检查了上述特征特征，在该振荡器的频率夹带中，人们可以在强耦合方面观察正常模式分裂和Mollow Triplet。最后，我们提出了在捕获的离子和光力机械设置中考虑的系统可能实现的实验实现。
We implement nonlinear anharmonic interaction in the coupled van der Pol oscillators to investigate the quantum synchronization behaviour of the systems. We study the quantum synchronization in two oscillator models, coupled quantum van der Pol oscillators and anharmonic self-oscillators. We demonstrate that the considered systems exhibit a high-order synchronization through coupling in both classical and quantum domains. We show that due to the anharmonicity of the nonlinear interaction between the oscillators the system exhibits phonon blockade in the phase locking regime which is a pure nonclassical effect and has not been observed in the classical domain. We also demonstrate that for coupled anharmonic oscillators the system shows a multiple resonance phase locking behaviour due to nonlinear interaction. We point out that the synchronization blockade arises due to strong anticorrelation between the oscillators which leads to phonon antibunching in the same parametric regime. In the anharmonic oscillator case we illustrate the simultaneous occurrence of bunching and antibunching effects as a consequence of simultaneous negative and positive correlation between the anharmonic oscillators. We examine the aforementioned characteristic features in the frequency entrainment of the oscillators using power spectrum where one can observe normal mode splitting and Mollow triplet in the strong coupling regime. Finally, we propose a possible experimental realization for the considered system in trapped ion and optomechanical setting.
