发表机构
North Carolina State University（北卡罗来纳州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对任意强度直流电场中一维δ函数势阱的有限时间电离，通过Kramers--Henneberger表示和Volterra方程，推导出精确的非微扰束缚态存活振幅，无需弱场近似或截断，并验证了其正确性。
AI 中文摘要
我们研究了在任意强度的均匀直流电场中，一维吸引性δ函数势阱在有限时间内的场致电离。我们的目标是在不构造完整含时传播子或波函数的情况下，确定任意观测时间下的物理束缚态存活振幅\(a_b(t)\)。在规范等价的Kramers--Henneberger表示中，场表现为接触点的运动，由此产生的动力学归结为一个封闭的Volterra方程。精确的端点相位因子分解将完整的时序重散射历史组织为相对时间卷积层次和一个精确的预解式。通过引入累积束缚态振幅并将其双时间域按相对时间和互补中心时间重新组织，最终的接触贡献变为一个显式的边界积分。所有空间积分均解析地完成。场驱动的无接触项利用Faddeeva函数以闭式形式获得，而直接和重复重散射项则表示为可显式求值的时间积分。该结果适用于任意直流场强度和有限时间，无需弱场展开、重散射截断或渐近时间近似。它通过精确的无场极限和原始物理Volterra方程的独立数值解得到验证。该公式给出了一个基本电离模型的精确非微扰解，并揭示了驱动量子动力学中隐藏的解析结构。
英文摘要
We investigate finite-time field-induced ionization from a one-dimensional attractive delta-function well in a uniform dc electric field of arbitrary strength. Our aim is to determine the physical bound-state survival amplitude \(a_b(t)\) at any observation time without constructing the complete time-dependent propagator or wavefunction. In the gauge-equivalent Kramers--Henneberger representation, the field appears as motion of the contact point, and the resulting dynamics reduces to a closed Volterra equation. Exact endpoint-phase factorization organizes the full chronological rescattering history into a relative-time convolution hierarchy and an exact resolvent. By introducing the accumulated bound-state amplitude and reorganizing its two-time domain in relative and complementary center times, the final contact contribution becomes an explicit boundary integral. All spatial integrations are carried out analytically. The field-driven contact-free term is obtained in closed form using the Faddeeva function, while the direct and repeated-rescattering terms are expressed as explicitly evaluable time integrals. The result applies at arbitrary dc-field strength and finite time, with no weak-field expansion, rescattering truncation, or asymptotic-time approximation. It is verified through the exact field-free limit and an independent numerical solution of the original physical Volterra equation. The formulation gives an exact nonperturbative solution of a fundamental ionization model and reveals otherwise hidden analytical structure in driven quantum dynamics.
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