论文标题

费米两种原子问题:通过相对论量子信息和代数量子场理论非扰动方法

Fermi two-atom problem: non-perturbative approach via relativistic quantum information and algebraic quantum field theory

论文作者

Tjoa, Erickson

论文摘要

在这项工作中,我们使用相对论量子信息(RQI)和代数量子场理论(AQFT)的工具来探讨著名的Fermi两种原子问题,这涉及相对论因果关系如何影响原子过渡概率。自Buchholz和Yngvason(1994)提出的解决方案以来,这个问题从许多方向和角度引发了不同的分析。其中一些分析采用了各种近似,启发式方法,扰动方法,这些方法倾向于使某些原本有用的见解在某种程度上被遮盖。还指出,它们都是在平坦的时空研究的。我们表明,相对论量子信息中的当前工具,结合了代数方法的量子场理论,现在足够强大,可以以完全非扰动的方式对费米的两种原子问题提供更全面,更清洁的分析。我们的结果使Buchholz和Yngvason的原始解决方案在与量子场相互作用的Qubits方面进行了非常操作的重新诠释,并允许各种自然概括并包含基于探测器的局部测量量子场(Phys。Rev.Rev. d 105,065003)。

In this work we revisit the famous Fermi two-atom problem, which concerns how relativistic causality impacts atomic transition probabilities, using the tools from relativistic quantum information (RQI) and algebraic quantum field theory (AQFT). The problem has sparked different analyses from many directions and angles since the proposed solution by Buchholz and Yngvason (1994). Some of these analyses employ various approximations, heuristics, perturbative methods, which tends to render some of the otherwise useful insights somewhat obscured. It is also noted that they are all studied in flat spacetime. We show that current tools in relativistic quantum information, combined with algebraic approach to quantum field theory, are now powerful enough to provide fuller and cleaner analysis of the Fermi two-atom problem for arbitrary curved spacetimes in a completely non-perturbative manner. Our result gives the original solution of Buchholz and Yngvason a very operational reinterpretation in terms of qubits interacting with a quantum field, and allows for various natural generalizations and inclusion of detector-based local measurement for the quantum field (Phys. Rev. D 105, 065003).

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