标题： 埃伦费斯特定量方法在开放双势阱动力学中的应用 显示英文标题

标题： Ehrenfest approach to open double-well dynamics

摘要： 我们考虑在存在外部环境（简化为有限资源热浴）的情况下，粒子在双势阱势场中的Ehrenfest近似。 这使我们能够探讨Ehrenfest动力学在非线性系统中应用的局限性如何在开放系统设置中被修改。 在此框架内，我们确定了一种由环境引起的自发对称性破缺机制，并认为在与外部储存库强耦合的极限下，Ehrenfest近似变得越来越有效，无论是通过增加振子数量还是增加温度的形式。 分析还提出了量子隧穿现象及其与经典热激活过程相互作用的一种相当直观的图像，这可能在物理化学、超冷原子物理以及快速开关动力学（如超导数字电子学）中具有相关性。 显示英文摘要

摘要： We consider an Ehrenfest approximation for a particle in a double-well potential in the presence of an external environment schematized as a finite resource heat bath. This allows us to explore how the limitations in the applicability of Ehrenfest dynamics to nonlinear systems are modified in an open system setting. Within this framework, we have identified an environment-induced spontaneous symmetry breaking mechanism, and we argue that the Ehrenfest approximation becomes increasingly valid in the limit of strong coupling to the external reservoir, either in the form of increasing number of oscillators or increasing temperature. The analysis also suggests a rather intuitive picture for the general phenomenon of quantum tunneling and its interplay with classical thermal activation processes, which may be of relevance in physical chemistry, ultracold atom physics, and fast-switching dynamics such as in superconducting digital electronics.