Entanglement in Quantum Field Theory and Its Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Hilbert’s Sixth Problem".

Deadline for manuscript submissions: 25 October 2024 | Viewed by 1279

Special Issue Editors


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Guest Editor
CONICET, Departamento de Fïsica, Universidad Nacional del Sur, Bahía Blanca, Argentina
Interests: entanglement; quantum information; 2D materials

E-Mail Website
Guest Editor
CONICET, Departamento de Fïsica, Universidad Nacional del Sur, Bahía Blanca, Argentina
Interests: correlated electrons in 2D materials; quantum field theory

E-Mail Website
Guest Editor
CONICET, Instituto de Física, Universidad Nacional de La Plata, La Plata, Argentina
Interests: topological quantum field theory; graphene; zero modes

Special Issue Information

Dear Colleagues:

Quantum field theory is the most successful scientific theory with incredible experimental evidence. It works as a universal language for the standard model of elementary particles and condensed matter systems. The study of entanglement in the context of quantum field theory has gained considerable interest over the last several decades due to the fact that the vacuum state of a free quantum field is entangled and contains information about the structure of space-time through the boundary conditions. In turn, the vacuum fluctuations induce entanglement generation in atomic probes and condensed matter systems such as 2D materials.

Entanglement is a fundamental feature of quantum theory as well as a key resource for quantum computing and quantum communication. It is important, therefore, for fundamental research as well as for practical applications, to study the mechanisms by which entanglement can be generated and transferred.

This Special Issue aims to be a forum for a discussion of entanglement in quantum field theory with emphasis on recent developments such as, but not limited to, those described above.

Contributions on the following topics are particularly welcome: entanglement in quantum field theory, information holography, quantum teleportation, quantum cryptography, entanglement harvesting, topological quantum field theory and correlated electrons in condensed matter.

Dr. Juan Sebastián Ardenghi
Dr. Federico Escudero
Dr. Lucas Sourrouille
Guest Editors

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Keywords

  • entanglement in quantum field theory
  • quantum correlations in 2D materials
  • boundary formalism
  • entanglement harvesting
  • information holography
  • topological quantum field theory

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Published Papers (1 paper)

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Research

55 pages, 652 KiB  
Article
On the Connection between Nelson’s Stochastic Quantum Mechanics and Nottale’s Theory of Scale Relativity
by Pierre-Henri Chavanis
Axioms 2024, 13(9), 606; https://doi.org/10.3390/axioms13090606 - 5 Sep 2024
Viewed by 154
Abstract
In this paper, we review and compare the stochastic quantum mechanics of Nelson and the scale relativity theory of Nottale. We consider both nonrelativistic and relativistic frameworks and include the electromagnetic field. These theories propose a derivation of the Schrödinger and Klein–Gordon equations [...] Read more.
In this paper, we review and compare the stochastic quantum mechanics of Nelson and the scale relativity theory of Nottale. We consider both nonrelativistic and relativistic frameworks and include the electromagnetic field. These theories propose a derivation of the Schrödinger and Klein–Gordon equations from microscopic processes. We show their formal equivalence. Specifically, we show that the real and imaginary parts of the complex Lorentz equation in Nottale’s theory are equivalent to the Nelson equations, which are themselves equivalent to the Madelung and de Broglie hydrodynamical representations of the Schrödinger and Klein–Gordon equations, respectively. We discuss the different physical interpretations of the Nelson and Nottale theories and stress their strengths and weaknesses. We mention potential applications of these theories to dark matter. Full article
(This article belongs to the Special Issue Entanglement in Quantum Field Theory and Its Applications)
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