Detector Based Evaluation of Extractable Entanglement in Flat spacetime

Fuente: arXiv
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Main Authors: Tajima, Hiromasa, Yoshimoto, Riku, Nemoto, Ryo, Osawa, Yuki
Format: Preprint
Published: 2025
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author Tajima, Hiromasa
Yoshimoto, Riku
Nemoto, Ryo
Osawa, Yuki
author_facet Tajima, Hiromasa
Yoshimoto, Riku
Nemoto, Ryo
Osawa, Yuki
contents Entanglement entropy (EE) is widely used to quantify quantum correlations in field theory, with the well-known result in two-dimensional conformal field theory (CFT) predicting a logarithmic divergence with the ultraviolet (UV) cutoff. However, this expression lacks operational meaning: it remains unclear how much of the entanglement is physically extractable via local measurements. In this work, we investigate the operationally accessible entanglement by employing a pair of Unruh-DeWitt detectors, each interacting with complementary regions of a quantum field. We derive an upper bound on the entanglement that can be harvested by such detectors and show that it scales as a double logarithm with respect to the UV cutoff-significantly weaker than the single-logarithmic divergence of the standard CFT result. This work provides an operational perspective on field-theoretic entanglement and sets fundamental limits on its extractability.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15716
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Detector Based Evaluation of Extractable Entanglement in Flat spacetime
Tajima, Hiromasa
Yoshimoto, Riku
Nemoto, Ryo
Osawa, Yuki
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
Entanglement entropy (EE) is widely used to quantify quantum correlations in field theory, with the well-known result in two-dimensional conformal field theory (CFT) predicting a logarithmic divergence with the ultraviolet (UV) cutoff. However, this expression lacks operational meaning: it remains unclear how much of the entanglement is physically extractable via local measurements. In this work, we investigate the operationally accessible entanglement by employing a pair of Unruh-DeWitt detectors, each interacting with complementary regions of a quantum field. We derive an upper bound on the entanglement that can be harvested by such detectors and show that it scales as a double logarithm with respect to the UV cutoff-significantly weaker than the single-logarithmic divergence of the standard CFT result. This work provides an operational perspective on field-theoretic entanglement and sets fundamental limits on its extractability.
title Detector Based Evaluation of Extractable Entanglement in Flat spacetime
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2505.15716