标题： 量子场论驱动下的Jarzynski等式 显示英文标题

标题： Jarzynski Equality for Driven Quantum Field Theories

摘要： 涨落定理，尤其是 Jarzynski 等式，是现代非平衡统计力学最重要的支柱。 我们扩展了量子 Jarzynski 等式以及 Two-Time 测量形式化方法的有效范围——将其推广到量子场论。 为此，我们将注意力集中在标量 φ-four 的时间相关版本上。 我们得到了由此产生的功分布函数的闭合表达式，并发现它们是量子场论的物理可观测量。 此外，我们明确展示了 Jarzynski 等式和 Crooks 涨落定理在一阶环图水平上独立于重整化尺度成立。 作为数值案例研究，我们在超相对论区域计算了无穷平滑协议下的功分布。 在这种情况下，发现通过伴随产生过程完成的功是主要贡献。 显示英文摘要

摘要： The fluctuation theorems, and in particular, the Jarzynski equality, are the most important pillars of modern non-equilibrium statistical mechanics. We extend the quantum Jarzynski equality together with the Two-Time Measurement Formalism to their ultimate range of validity -- to quantum field theories. To this end, we focus on a time-dependent version of scalar phi-four. We find closed form expressions for the resulting work distribution function, and we find that they are proper physical observables of the quantum field theory. Also, we show explicitly that the Jarzynski equality and Crooks fluctuation theorems hold at one-loop order independent of the renormalization scale. As a numerical case study, we compute the work distributions for an infinitely smooth protocol in the ultra-relativistic regime. In this case, it is found that work done through processes with pair creation is the dominant contribution.