Lectures on entanglement in quantum field theory

Casini, Horacio; Huerta, Marina

doi:10.22323/1.403.0002

Cited by 22 publications

(4 citation statements)

References 94 publications

(118 reference statements)

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“…That is, Redhead shows that for all ϵ > 0 and 42 See Summers (2011, Section 4) for a summary discussion of Bell inequality violation in the quantum field theory vacuum, with many citations to original papers. See Casini and Huerta (2009), Headrick (2019), and Casini and Huerta (2021) for an overview of entanglement in the quantum field theory vacuum with a focus on properties of entanglement entropy. any P in A(U ), there exists some Q in A(V ) such that 44…”

Section: State Dependencementioning

confidence: 99%

Cluster Decomposition and Two Senses of Isolability

Williams,

Dougherty,

Miller

2024

Philosophy of Physics

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In the framework of quantum field theory, one finds multiple load-bearing locality and causality conditions. One of the most important is the cluster decomposition principle, which requires that scattering experiments conducted at large spatial separation have statistically independent results. The principle grounds a number of features of quantum field theory, especially the structure of scattering theory. However, the statistical independence required by cluster decomposition is in tension with the long-range correlations characteristic of entangled states. In this paper, we argue that cluster decomposition is best stated as a condition on the dynamics of a quantum field theory, not directly as a statistical independence condition. This redefinition avoids the tension with entanglement while better capturing the physical significance of cluster decomposition and the role it plays in the structure of quantum field theory.

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Section: State Dependencementioning

confidence: 99%

Cluster Decomposition and Two Senses of Isolability

Williams,

Dougherty,

Miller

2024

Philosophy of Physics

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“…The discovery of AdS/CFT correspondence [1][2][3] has motivated much research related to quantum information theory in the high-energy physics community in recent years. Among them, quantum entanglement, as a carrier of quantum information, play an increasingly significant role in probing the structure of quantum field theories (QFTs) [4][5][6][7][8][9][10], the emergence of geometry [11][12][13], black hole information paradox [14][15][16][17][18].…”

Section: ∆Smentioning

confidence: 99%

Pseudo-entropy for descendant operators in two-dimensional conformal field theories

He¹,

Yang²,

Zhang³

et al. 2023

Preprint

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We study the late-time properties of pseudo-(Rényi) entropy of locally excited states in rational conformal field theories (RCFTs). The two non-orthogonal locally excited states used to construct the transition matrix are generated by acting different descendant operators on the vacuum. We prove that for the cases where two descendant operators are generated by a single Virasoro generator respectively acting on a primary operator, the late-time excess of pseudo-entropy and pseudo-Rényi entropy always coincides with the logarithmic of the quantum dimension of the corresponding primary operator. Furthermore, we consider two linear combination operators generated by the generic summation of Virasoro generators. We find their pseudo-Rényi entropy and pseudo-entropy may get additional contributions, as the mixing of holomorphic and anti-holomorphic parts of the correlation function enhances the entanglement. Finally, we assert the pseudo-Rényi entropy and pseudo-entropy are still the logarithmic quantum dimension of the primary operator when the correlation function of linear combination operators can be divided into the product of its holomorphic part and anti-holomorphic part. We offer some examples to illustrate the phenomenon.

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“…In a similar way, one can derive one-parameter groups of unitaries that implement other Poincaré or conformal transformations. 4 In the following, we will only need the adjoint action, and may forget how it is obtained. To stress this, let us write O (a generic scalar primary operator) instead of ϕ and keep ∆ JHEP12(2023)074 generic as well.…”

Section: Jhep12(2023)074mentioning

confidence: 99%

“…[1][2][3] for early work in two-dimensional conformal field theories, ref. [4] for a review, or refs. [5,6] for recent computations.…”

Section: Introductionmentioning

confidence: 99%

Modular Hamiltonian for de Sitter diamonds

Fröb

2023

J. High Energ. Phys.

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We determine the Tomita-Takesaki modular data for CFTs in double cone and light cone regions in conformally flat spacetimes. This includes in particular the modular Hamiltonian for diamonds in the de Sitter spacetime. In the limit where the diamonds become large, we show that the modular automorphisms become time translations in the static patch. As preparation, we also provide a pedagogical rederivation of the known results for Minkowski spacetime. With our results and using the Araki formula, it becomes possible to compute relative entanglement entropies for CFTs in these regions.

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Lectures on entanglement in quantum field theory

Cited by 22 publications

References 94 publications

Cluster Decomposition and Two Senses of Isolability

Cluster Decomposition and Two Senses of Isolability

Pseudo-entropy for descendant operators in two-dimensional conformal field theories

Modular Hamiltonian for de Sitter diamonds

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