论文标题
耦合量子振荡器的老化过渡
Aging transition in coupled quantum oscillators
论文作者
论文摘要
衰老过渡是在由主动(自我振荡)和非活动(非自我振荡)节点组成的网络中观察到的一种新兴行为,当非活动振荡器的零数超过关键值时,网络从全球振荡状态转变为振荡状态。但是,尚未研究量子结构域中的衰老过渡。在本文中,我们研究了活跃的量子振荡器网络中衰老过渡的量子表现。我们表明,与经典的情况不同,量子老化的特征不是完全振荡的崩溃,而是通过足够减少平均玻色子数的特征。我们在非活动振荡器的分数中确定了一个关键的``膝盖''值,量子老化以两种不同的方式发生。此外,与经典案例形成鲜明对比的是,量子老化的过渡取决于非线性阻尼参数。我们还解释了导致量子在阶级域中没有对应的量子毒剂的潜在过程。
Aging transition is an emergent behavior observed in networks consisting of active (self-oscillatory) and inactive (non self-oscillatory) nodes, where the network transits from a global oscillatory state to an oscillation collapsed state when the fraction of inactive oscillators surpasses a critical value. However, the aging transition in quantum domain has not been studied yet. In this paper we investigate the quantum manifestation of aging transition in a network of active-inactive quantum oscillators. We show that, unlike classical case, the quantum aging is not characterized by a complete collapse of oscillation but by sufficient reduction in the mean boson number. We identify a critical ``knee" value in the fraction of inactive oscillators around which quantum aging occurs in two different ways. Further, in stark contrast to the classical case, quantum aging transition depends upon the nonlinear damping parameter. We also explain the underlying processes leading to quantum aging that have no counterpart in the classical domain.