AI 中文总结
研究平坦时空中相对论原子干涉仪相移，通过半经典近似推导多种脉冲序列精确表达式，计算了时钟和拉曼或布拉格干涉仪的精确相移，为测量相对论效应提供了新的理论支持。
AI 中文摘要
原子干涉测量是用于测量相对论效应的灵敏工具，但相对论原子干涉仪相移尚无已知非平凡精确解。本文在通常半经典近似下，推导了平坦时空中多种实验感兴趣的原子干涉仪脉冲序列的相对论精确表达式，涵盖马赫 - 曾德尔、共振及大动量转移干涉仪几何结构。例如，马赫 - 曾德尔时钟原子干涉仪的主导阶相移在纳入所有相对论运动学时变为特定形式。还计算了时钟（单光子）干涉仪和拉曼或布拉格（双光子）干涉仪的精确相移。
英文摘要
Atom interferometry is a sensitive tool for measuring relativistic effects, but there are no known non-trivial exact solutions for relativistic atom interferometer phase shifts. Here we derive relativistically exact expressions within the usual semiclassical approximation for a wide range of experimentally interesting atom interferometer pulse sequences in flat spacetime, including Mach-Zehnder, resonant, and large momentum transfer interferometer geometries. As an example, the leading order phase shift $ω_a g T^2/c$ for a Mach-Zehnder clock atom interferometer is found to become $ω_a \left(1 + \frac{ω_a}{2m}\right)(e^{-gT/c}-1)^2 c/g$ when all relativistic kinematics are included. We calculate exact phase shifts for both clock (single-photon) interferometers and Raman or Bragg (two-photon) interferometers.
Comments15 pages, 6 figures
