论文标题
破坏BEC:不稳定冷凝水的量子演变
Breaking BEC: Quantum evolution of unstable condensates
论文作者
论文摘要
在这项工作中,我们从数值上探讨了经典不稳定的相对论玻色菌冷凝物(BEC)的量子行为。主要目标是研究所谓的量子断裂时间的现象,这相当于与半经典的平均场描述显着偏离。以前已经提出,Lyapunov不稳定性的存在对于快速的量子破裂,混乱和争夺至关重要。为了澄清这个问题,我们在2-PI有效的动作形式主义中工作,并引入了一个简单且非常广泛的动力标准,以识别量子破坏的时间尺度。我们确实观察到,快速量子断裂时间由不稳定BEC的Lyapunov指数控制。
In this work we numerically explore the quantum behavior of a classically unstable relativistic Bose-Einstein condensate (BEC). The main goal is to study the phenomenon of so-called quantum break time which amounts to a significant departure from a semiclassical mean-field description. It has been suggested previously that the existence of Lyapunov instability is crucial for a fast quantum breaking, chaos, and scrambling. In order to clarify the issue, we work within the 2-PI effective action formalism and introduce a simple and very widely applicable dynamical criterion for identifying the timescale of quantumbreaking. We indeed observe that the fast quantum break time is controlled by the Lyapunov exponent of the unstable BEC.