严格局域混合态
Strictly Localized Mixed States
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- University of Oslo（奥斯陆大学）
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中文总结 AI 辅助
本文研究量子场论中严格局域混合态，发现其可由Licht映射生成，且存在不能分解为同区域纯态混合的态，并将Knight定理推广至混合态。
中文摘要 AI 辅助
我们研究量子场论中的严格局域混合态：这些态在某个时空区域之外与真空不可区分。这样的态由所谓的Licht映射从真空中生成。虽然与真空上的局域投影测量的单个结果相关联的态不是严格局域的，但相应的非选择性态是严格局域的，甚至允许分解为严格局域的纯态。然而，值得注意的是，存在一些严格局域的混合态，它们不能写成严格局域到同一区域的纯态的混合。这样的态可以从不精确的局域测量中产生。最后，我们将Knight定理推广到混合态，表明严格局域的玻色子混合态包含具有任意高粒子数的项。
英文摘要
We study strictly localized mixed states in quantum field theory: states that are indistinguishable from vacuum outside some spacetime region. Such states are generated from the vacuum by so-called Licht maps. While the states associated with individual outcomes of local, projective measurements on the vacuum are not strictly localized, the corresponding non-selective states are strictly localized and even admit decompositions into strictly localized pure states. Remarkably, however, there are strictly localized mixed states that cannot be written as mixtures of pure states strictly localized to the same region. Such states can arise from unsharp local measurements. Finally, we extend Knight's theorem to mixed states, showing that strictly localized bosonic mixed states contain terms with arbitrarily high particle numbers.
