Entanglement distribution in Bhabha scattering with entangled spectator particle
Abstract: We analyze how entanglement is generated and distributed in a Bhabha scattering process $(e-e+\rightarrow e-e+)$ at tree level. In our setup an electron $A$ scatters with a positron $B$, which is initially entangled with another electron $C$ (spectator), that does not participate directly to the process. We find that the QED scattering generates and distributes entanglement in a non-trivial way among the three particles: the correlations in the output channels $AB$, $AC$ and $BC$ are studied in detail as functions of the scattering parameters and of the initial entanglement weight. Although derived in a specific case, our results exhibit some general features of other similar QED scattering processes, for which the extension of the present analysis is straightforward.
- R. A. Bertlmann and B. C. Hiesmayr, “Bell inequalities for entangled kaons and their unitary time evolution”, Phys. Rev. A 63 (2001), 062112.
- R. A. Bertlmann, W. Grimus and B. C. Hiesmayr, “Bell inequality and CP violation in the neutral kaon system”, Phys. Lett. A 289 (2001), 21.
- L. Lello, D. Boyanovsky and R. Holman, “Entanglement entropy in particle decay”, JHEP 11 (2013), 116.
- J. Bernabeu, “T and CPT Symmetries in Entangled Neutral Meson Systems”, J. Phys. Conf. Ser. 335 (2011), 012011.
- S. Seki and S. J. Sin, “EPR = ER, scattering amplitude and entanglement entropy change”, Phys. Lett. B 735 (2014), 272.
- R. Peschanski and S. Seki, “Entanglement Entropy of Scattering Particles”, Phys. Lett. B 758 (2016), 89.
- M. Blasone, F. Dell’Anno, S. De Siena, M. Di Mauro and F. Illuminati, “Multipartite entangled states in particle mixing”, Phys. Rev. D 77 (2008), 096002.
- M. Blasone, F. Dell’Anno, S. De Siena and F. Illuminati, “A field-theoretical approach to entanglement in neutrino mixing and oscillations”, EPL 106 (2014), 30002.
- M. Blasone, F. Dell’Anno, S. De Siena and F. Illuminati, “Entanglement in a QFT Model of Neutrino Oscillations”, Adv. High Energy Phys. 2014 (2014), 359168.
- V. A. S. V. Bittencourt, M. Blasone and G. Zanfardino, “Chiral and flavor oscillations in lepton-antineutrino spin correlations”, J. Phys. Conf. Ser. 2533 (2023), 012024.
- V. A. S. V. Bittencourt, M. Blasone, F. Illuminati, G. Lambiase, G. G. Luciano and L. Petruzziello, “Quantum nonlocality in extended theories of gravity”, Phys. Rev. D 103 (2021), 044051.
- A. Iorio, G. Lambiase and G. Vitiello, “Entangled quantum fields near the event horizon and entropy”, Annals Phys. 309 (2004), 151.
- A. K. Alok, S. Banerjee and S. U. Sankar, “Quantum correlations in terms of neutrino oscillation probabilities”, Nucl. Phys. B 909 (2016), 65.
- E. B. Manoukian and N. Yongram, “Speed dependent polarization correlations in QED and entanglement”, Eur. Phys. J. D 31 (2004), 137.
- N. Yongram, E. B. Manoukian and S. Siranan, “Polarization correlations in muon pair production in the electroweak model”, Mod. Phys. Lett. A 21 (2006), 979.
- N. Yongram, “Spin Correlations in e+e−superscript𝑒superscript𝑒e^{+}e^{-}italic_e start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT italic_e start_POSTSUPERSCRIPT - end_POSTSUPERSCRIPT Pair Creation by Two-Photons and Entanglement in QED” Int. J. Theor. Phys. 50 (2011), 838.
- S. Banerjee, A. K. Alok, R. Srikanth and B. C. Hiesmayr, “A quantum information theoretic analysis of three flavor neutrino oscillations”, Eur. Phys. J. C 75 (2015), 487.
- D. Gangopadhyay, D. Home and A. S. Roy, “Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos”, Phys. Rev. A 88 (2013) 022115.
- D. Gangopadhyay and A. S. Roy, “Three-flavoured neutrino oscillations and the Leggett–Garg inequality”, Eur. Phys. J. C 77 (2017), 260.
- J. A. Formaggio, D. I. Kaiser, M. M. Murskyj and T. E. Weiss, “Violation of the Leggett-Garg Inequality in Neutrino Oscillations”, Phys. Rev. Lett. 117 (2016), 050402.
- J. Naikoo, A. Kumar Alok, S. Banerjee and S. Uma Sankar, “Leggett-Garg inequality in the context of three flavour neutrino oscillation,” Phys. Rev. D 99 (2019), 095001.
- J. Naikoo, A. K. Alok, S. Banerjee, S. Uma Sankar, G. Guarnieri, C. Schultze and B. C. Hiesmayr, “A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy”, Nucl. Phys. B 951 (2020), 114872.
- M. Blasone, F. Illuminati, L. Petruzziello and L. Smaldone, “Leggett-Garg inequalities in the quantum field theory of neutrino oscillations”, Phys. Rev. A 108 (2023), 032210.
- M. Blasone, F. Illuminati, L. Petruzziello, K. Simonov and L. Smaldone, “No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations”, Eur. Phys. J. C 83 (2023), 688.
- X. Z. Wang and B. Q. Ma, “New test of neutrino oscillation coherence with Leggett–Garg inequality”, Eur. Phys. J. C 82 (2022), 133.
- X. K. Song, Y. Huang, J. Ling and M. H. Yung, “Quantifying Quantum Coherence in Experimentally-Observed Neutrino Oscillations”, Phys. Rev. A 98 (2018), 050302.
- R. Uola, A. C. S. Costa, H. Chau Nguyen, O. Uühne, “Quantum Steering”, Rev. Mod. Phys. 92 (2020) 15001.
- K. Dixit, J. Naikoo, S. Banerjee and A. Kumar Alok, “Study of coherence and mixedness in meson and neutrino systems”, Eur. Phys. J. C 79 (2019), 96.
- F. Ming, X. K. Song, J. Ling, L. Ye and D. Wang, “Quantification of quantumness in neutrino oscillations”, Eur. Phys. J. C 80 (2020), 275.
- Y. W. Li, L. J. Li, X. K. Song and D. Wang, “Trade-off relations of quantum resource theory in neutrino oscillations”, Eur. Phys. J. Plus 137 (2022), 1267.
- M. Blasone, S. De Siena and C. Matrella, “Wave packet approach to quantum correlations in neutrino oscillations”, Eur. Phys. J. C 81 (2021), 660.
- D. Wang, F. Ming, X. K. Song, L. Ye and J. L. Chen, “Entropic uncertainty relation in neutrino oscillations”, Eur. Phys. J. C 80 (2020), 800.
- M. Blasone, S. De Siena and C. Matrella, “Non-locality and entropic uncertainty relations in neutrino oscillations”, Eur. Phys. J. Plus 137 (2022), 1272.
- S. R. Beane, D. B. Kaplan, N. Klco and M. J. Savage, “Entanglement Suppression and Emergent Symmetries of Strong Interactions”, Phys. Rev. Lett. 122 (2019), 102001.
- D. E. Kharzeev and E. M. Levin, “Deep inelastic scattering as a probe of entanglement”, Phys. Rev. D 95 (2017), 114008.
- J. Fan and X. Li, “Relativistic effect of entanglement in fermion-fermion scattering”, Phys. Rev. D 97 (2018), 016011.
- Y. Afik and J. R. M. de Nova, “Entanglement and quantum tomography with top quarks at the LHC”, Eur. Phys. J. Plus 136 (2021), 907.
- Y. Afik and J. R. M. de Nova, “Quantum information with top quarks in QCD”, Quantum 6 (2022), 820.
- Y. Afik and J. R. M. de Nova, “Quantum discord and steering in top quarks at the LHC”, Phys. Rev. Lett. 130 (2023), 221801.
- A. Cervera-Lierta, J. I. Latorre, J. Rojo and L. Rottoli, “Maximal Entanglement in High Energy Physics”, SciPost Phys. 3 (2017), 036.
- A. Cervera Lierta, “Maximal Entanglement: Applications in Quantum Information and Particle Physics”, (2019) [arXiv:1906.12099 [quant-ph]].
- S. Fedida and A. Serafini, “Tree-level entanglement in quantum electrodynamics”, Phys. Rev. D 107 (2023), 116007.
- J. Fan, G. M. Deng and X. J. Ren, “Entanglement entropy and monotones in scattering process”, Phys. Rev. D 104 (2021), 116021.
- S. Shivashankara, “Entanglement Entropy of Compton Scattering with a Witness”, Can. J. Phys. 101 (2023), 757.
- G. M. Quinta and R. André, “Multipartite Entanglement from Consecutive Scatterings”, [arXiv:2311.11102 [quant-ph]].
- R. A. Morales, “Exploring Bell inequalities and quantum entanglement in vector boson scattering”, Eur. Phys. J. Plus 138 (2023), 1157.
- G. A. Miller, “Entanglement maximization in low-energy neutron-proton scattering”, Phys. Rev. C 108 (2023), L031002.
- G. A. Miller, “Entanglement of elastic and inelastic scattering”, Phys. Rev. C 108 (2023), L041601.
- A. Pérez-Obiol, S. Masot-Llima, A. M. Romero, J. Menéndez, A. Rios, A. García-Sáez and B. Juliá-Díaz, “Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model”, Eur. Phys. J. A 59 (2023), 240.
- R. Aoude, E. Madge, F. Maltoni and L. Mantani, “Probing new physics through entanglement in diboson production”, JHEP 12 (2023), 017.
- K. Beck and G. Jacobo, “Comment on “Spin correlations in elastic e+{}^{+}start_FLOATSUPERSCRIPT + end_FLOATSUPERSCRIPTe−{}^{-}start_FLOATSUPERSCRIPT - end_FLOATSUPERSCRIPT scattering in QED”, Eur. Phys. J. D 77 (2023), 85.
- P. J. Ehlers, “Entanglement between valence and sea quarks in hadrons of 1+1 dimensional QCD”, Annals Phys. 452 (2023), 169290.
- A. Sinha and A. Zahed, “Bell inequalities in 2-2 scattering”, Phys. Rev. D 108 (2023), 025015.
- W. K. Wootters, “Entanglement of formation of an arbitrary state of two qubits”, Phys. Rev. Lett. 80 (1998), 2245.
- M. E. Peskin and D. V. Schroeder, “An Introduction to quantum field theory”, Addison-Wesley, 1995.
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