耦合量子vanderPol振子的振荡坍缩
Oscillation collapse in coupled quantum van der Pol oscillators
摘要：
经典的自激振荡可以仅仅由于它们的相互耦合而崩溃。我们研究了量子范德波尔振荡器中的振荡坍缩。对于一对量子振荡器，稳态平均声子数被证明是低于相应的经典模型与高斯白噪声，模仿量子噪声。在平均场论中，我们进一步证明了一些全局耦合振子从同步周期运动到集体振荡坍缩的转变。一个量子多体模拟表明，在振荡器的数量的增加导致较低的稳态平均声子数，有界以下的平均场的结果。
英文摘要：
The classical self-oscillations can collapse merely due to their mutual couplings. We investigate this oscillation collapse in quantum van der Pol oscillators. For a pair of quantum oscillators, the steady-state mean phonon number is shown to be lower than in the corresponding classical model with a Gaussian white noise that mimics quantum noise. We further show within the mean-field theory that a number of globally coupled oscillators undergo a transition from the synchronized periodic motion to the collective oscillation collapse. A quantum many-body simulation suggests that the increase in the number of oscillators leads to a lower steady-state mean phonon number, bounded below by the mean-field result.
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