标题： 使用非平衡模拟缓解拓扑冻结 显示英文标题

标题： Mitigating topological freezing using out-of-equilibrium simulations

摘要： 受Jarzynski等式与随机归一化流理论框架之间最近建立的联系的启发，我们研究了一种依赖于非平衡格点蒙特卡洛模拟的协议，以缓解拓扑冻结的著名计算问题。 我们在$2d$ $\mathrm{CP}^{N-1}$ 模型上测试了我们的建议，并将我们的结果与M. Hasenbusch提出的边界条件并行退火方法获得的结果进行比较，获得了相当的性能。 因此，我们的工作为未来结合我们的蒙特卡洛设置与机器学习技术的应用奠定了基础。 显示英文摘要

摘要： Motivated by the recently-established connection between Jarzynski's equality and the theoretical framework of Stochastic Normalizing Flows, we investigate a protocol relying on out-of-equilibrium lattice Monte Carlo simulations to mitigate the infamous computational problem of topological freezing. We test our proposal on $2d$ $\mathrm{CP}^{N-1}$ models and compare our results with those obtained adopting the Parallel Tempering on Boundary Conditions proposed by M. Hasenbusch, obtaining comparable performances. Our work thus sets the stage for future applications combining our Monte Carlo setup with machine learning techniques.