Department of Physics, Meiji University, Kawasaki, Kanagawa 214-8571, Japan.
Phys Rev E. 2017 Nov;96(5-1):052210. doi: 10.1103/PhysRevE.96.052210. Epub 2017 Nov 15.
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.
经典的自激振荡仅仅由于它们的相互耦合就可能崩溃。我们研究了量子范德波尔振荡器中的这种振荡崩溃。对于一对量子振荡器，稳态平均声子数低于相应的具有模拟量子噪声的高斯白噪声的经典模型。我们进一步在平均场理论中表明，大量全局耦合的振荡器经历了从同步周期运动到集体振荡崩溃的转变。量子多体模拟表明，振荡器数量的增加会导致稳态平均声子数降低，其下限由平均场结果确定。
