场上的纠缠和界面条件

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-05-30 DOI:10.1103/physrevd.111.105027

Antonina Maj, V. P. Nair

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引用次数: 0

摘要

我们考虑一个自由标量场理论的真空波函数在空间上被划分为两个区域，并且在界面上的场服从Robin条件（参数κ）。对子区域的场进行直接积分，得到简化的密度矩阵。这导致了Reeh-Schlieder定理的构造性证明。我们分析了纠缠熵作为罗宾参数κ的函数。我们还考虑了一个特定的条件概率作为纠缠度的另一个度量，它更适合于分析对界面条件的依赖。最后，我们讨论了一种直接计算相关函数的方法，以及它是如何给出一种通向简化密度矩阵的替代路径的。2025年由美国物理学会出版

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Entanglement and interface conditions on fields

We consider the vacuum wave function of a free scalar field theory in space partitioned into two regions, with the field obeying Robin conditions (of parameter κ) on the interface. A direct integration over fields in a subregion is carried out to obtain the reduced density matrix. This leads to a constructive proof of the Reeh-Schlieder theorem. We analyze the entanglement entropy as a function of the Robin parameter κ. We also consider a specific conditional probability as another measure of entanglement which is more amenable to analysis of the dependence on interface conditions. Finally, we discuss a direct calculation of correlation functions and how it gives an alternate route to the reduced density matrix.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.