Quantum Entanglement in the Nonrelativistic Collision Between Two Identical Fermions with Spin 1/2

Kouzakov, Konstantin

doi:10.1134/s0040577919110102

Cited by 4 publications

(2 citation statements)

References 26 publications

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“…What we have just described is that spin-independent scattering of identical particles can create a very particular form of correlation between the spins of collisional partners if they are initially in different and distinguishable spin states (Gottfried and Yan 2003;Lamata and León 2006;Kouzakov 2019). This form of correlation, which has no classical counterpart, is called quantum entanglement and it lies at the heart of quantum mechanics.…”

Section: Discussionmentioning

confidence: 99%

Effects of quantum mechanical identity in particle scattering: experimental observations (and lack thereof)

Kjærgaard

2021

Journal of the Royal Society of New Zealand

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On the occasion of the 150th anniversary of Ernest Rutherford's birth I discuss how indistinguishabilty profoundly affects the collisions of identical particles. In the case of a Coulombic interaction this leads to a dramatic modification of Rutherford's famous scattering formula as predicted by Nevill Mott. An even more extreme example is provided by a low-energy scattering experiment of identical fermions interacting via a short range potential. Here indistinguishability will make or break the observation of scattered particles. This fascinating phenomenon has been observed using a laser-based collider for ultracold fermionic potassium atoms.

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Section: Discussionmentioning

confidence: 99%

Effects of quantum mechanical identity in particle scattering: experimental observations (and lack thereof)

Kjærgaard

2021

Journal of the Royal Society of New Zealand

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“…Concomitantly, spatial degrees of freedom play the rôle of ancillas for the creation of entanglement which may violate Bell's inequality certain values of the scattering angle. The entanglement produced by elastic scattering of non-relativistic electrons quantified by pair concurrence was studied in [26], where it was also studied a Bell's inequality violation in the final channel and the formation of an entangled Werner spin state under certain conditions.…”

Section: Introductionmentioning

confidence: 99%

Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle

Fonseca¹,

Hiller²,

Araujo³

et al. 2021

Preprint

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We consider a general quantum field relativistic scattering involving two half spin fermions, A and B, which are initially entangled with another fermion C that does not participate in the scattering dynamics. We construct general expressions for the reduced spin matrices for the out-state considering a general tripartite spin-entangled state. In particular we study an inelastic QED process at tree-level, namely e − e + → µ − µ + and a half spin fermion C as an spectator particle which can be entangled to the AB system in the following ways: W state, GHZ state, |A α ⊗ |Ψ ± BC and |A α ⊗ |Φ ± BC, where {|Ψ ± , |Φ ± } are the Bell basis states and |A α is a spin superposition state of system A. We calculate the von-Neumann entropy variation before and after the scattering for the particle C and show that spin measurements in C contain numerical information about the total cross section of the process. We compare the initial states W and GHZ as well as study the role played by the parameter α in the evaluation of the entropy variations and the cross section encoded in the spectator particle.

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Entanglement and scattering in quantum electrodynamics: S matrix information from an entangled spectator particle

Fonseca

Hiller

Araujo³

et al. 2022

Phys. Rev. D

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Quantum Entanglement in the Nonrelativistic Collision Between Two Identical Fermions with Spin 1/2

Cited by 4 publications

References 26 publications

Effects of quantum mechanical identity in particle scattering: experimental observations (and lack thereof)

Effects of quantum mechanical identity in particle scattering: experimental observations (and lack thereof)

Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle

Entanglement and scattering in quantum electrodynamics: S matrix information from an entangled spectator particle

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