标题： 标量量子电动力学中粒子对的动态缩放 显示英文标题

标题： Dynamical Scaling in Pair Production for Scalar QED

摘要： 我们报告了在标量量子电动力学(QED)框架下，有限时间内粒子-反粒子对动量谱的动力学标度。 分析集中在两种不同的绝热模式函数下的动量谱，这些模式函数通过Wronskian归一化条件相关联。 动量谱中的振荡归因于绝热数基中的量子干涉效应。 当检查由Sauter脉冲场在中间时间产生的粒子对的振荡动量谱时，出现了一种新的动力学标度行为。 虽然在两种不同的选择中，振荡谱在不同的时间被观察到，但当时间通过标记第一个残余粒子-反粒子等离子体(RPAP)阶段（或瞬态阶段结束）开始的时间点进行重新缩放时，它们会重叠。 这种标度确定了实际粒子-反粒子对形成可能的近似时间，将重点从渐近时间转移到有限时间动力学。 此外，在多光子区域，我们发现动量谱在有限时间内表现出多模态的轮廓结构，两种选择中都一致，并且在这种情况下也遵循动力学标度。 显示英文摘要

摘要： We report on the dynamical scaling of momentum spectra for particle-antiparticle pairs at finite times within the framework of scalar Quantum Electrodynamics (QED). The analysis focuses on the momentum spectra in two different choices of adiabatic mode functions, which are related by a Wronskian normalization condition. Oscillations in the momentum spectra are attributed to quantum interference effects in the adiabatic number basis. A novel dynamical scaling behavior emerges when examining the oscillatory momentum spectra of pairs created by a Sauter pulsed field at intermediate times. While the oscillatory spectra are observed at distinct times in the two different choices, they overlap when time is rescaled by the point marking the initiation of the first occurrence of the Residual ParticleAntiparticle Plasma (RPAP) stage (or end of the transient stage) for the central momentum case. This scaling identifies the approximate time at which real particle-antiparticle pair formation becomes possible, shifting the focus from asymptotic times to finite-time dynamics. Additionally, in the multi-photon regime, we find that the momentum spectra exhibit a multi-modal profile structure at finite times, consistent across both choices and also follow the dynamical scaling in this case as well.