Fermionic entanglement in the presence of background electric and magnetic fields

Abstract In this study, we investigate the fermionic Schwinger effect in the presence of a constant magnetic field within $$(1+3)$$ ( 1 + 3 ) -dimensional Minkowski spacetime, considering both constant and pulsed electric fields. We analyze the correlations between Schwinger pairs for the vacuum and...

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Main Author: Shagun Kaushal
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13796-9
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author Shagun Kaushal
author_facet Shagun Kaushal
author_sort Shagun Kaushal
collection DOAJ
description Abstract In this study, we investigate the fermionic Schwinger effect in the presence of a constant magnetic field within $$(1+3)$$ ( 1 + 3 ) -dimensional Minkowski spacetime, considering both constant and pulsed electric fields. We analyze the correlations between Schwinger pairs for the vacuum and maximally entangled states of two fermionic fields. The correlations are quantified using entanglement entropy and Bell’s inequality violation for the vacuum state, while Bell’s inequality violation and mutual information are used for the maximally entangled state. One can observe the variation of the entanglement produced for fermionic modes with respect to different parameters. Additionally, we discuss the key differences from the behaviour of scalar fields in this context. This study offers deeper insights into quantum field theory and the dynamics of entanglement in the fermionic Schwinger effect.
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series European Physical Journal C: Particles and Fields
spelling doaj-art-a6c9fc4ca2b14744a00a63c1cf5e3c9e2025-01-26T12:49:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111610.1140/epjc/s10052-025-13796-9Fermionic entanglement in the presence of background electric and magnetic fieldsShagun Kaushal0Department of Physics, Indian Institute of Technology DelhiAbstract In this study, we investigate the fermionic Schwinger effect in the presence of a constant magnetic field within $$(1+3)$$ ( 1 + 3 ) -dimensional Minkowski spacetime, considering both constant and pulsed electric fields. We analyze the correlations between Schwinger pairs for the vacuum and maximally entangled states of two fermionic fields. The correlations are quantified using entanglement entropy and Bell’s inequality violation for the vacuum state, while Bell’s inequality violation and mutual information are used for the maximally entangled state. One can observe the variation of the entanglement produced for fermionic modes with respect to different parameters. Additionally, we discuss the key differences from the behaviour of scalar fields in this context. This study offers deeper insights into quantum field theory and the dynamics of entanglement in the fermionic Schwinger effect.https://doi.org/10.1140/epjc/s10052-025-13796-9
spellingShingle Shagun Kaushal
Fermionic entanglement in the presence of background electric and magnetic fields
European Physical Journal C: Particles and Fields
title Fermionic entanglement in the presence of background electric and magnetic fields
title_full Fermionic entanglement in the presence of background electric and magnetic fields
title_fullStr Fermionic entanglement in the presence of background electric and magnetic fields
title_full_unstemmed Fermionic entanglement in the presence of background electric and magnetic fields
title_short Fermionic entanglement in the presence of background electric and magnetic fields
title_sort fermionic entanglement in the presence of background electric and magnetic fields
url https://doi.org/10.1140/epjc/s10052-025-13796-9
work_keys_str_mv AT shagunkaushal fermionicentanglementinthepresenceofbackgroundelectricandmagneticfields