耗散Kerr孤子的量子动力学
Quantum dynamics of Dissipative Kerr solitons
摘要：
环形微谐振器中由参量增益引起的耗散克尔孤子通常在经典平均场框架内描述。在这里，我们发展了一个量子力学模型的耗散克尔孤子的截断Wigner方法，它占量子效应的最低阶。我们表明，孤子经历了有限的寿命，由于量子涨落源于损失。根据开放量子系统的理论阅读结果，可以估计系统的Liouvillian谱。它的特征是在量子涨落为零的极限下，虚部为有限而实部为零的本征值集合。这一特性表明，耗散克尔孤子是一类特殊的耗散时间晶体。
英文摘要：
Dissipative Kerr solitons arising from parametric gain in ring microresonators are usually described within a classical mean-field framework. Here, we develop a quantum-mechanical model of dissipative Kerr solitons in terms of the truncated Wigner method, which accounts for quantum effects to lowest order. We show that the soliton experiences a finite lifetime due to quantum fluctuations originating from losses. Reading the results in terms of the theory of open quantum systems, allows to estimate the Liouvillian spectrum of the system. It is characterized by a set of eigenvalues with finite imaginary part and vanishing real part in the limit of vanishing quantum fluctuations. This feature shows that dissipative Kerr solitons are a specific class of dissipative time crystals.
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