Entanglement and Bell Correlation in Electron-Exchange Collisions

Blum, K.; Lohmann, Bernd

doi:10.1103/physrevlett.116.033201

Cited by 20 publications

(37 citation statements)

References 33 publications

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“…Simple phenomenological arguments based on the properties of ρ and ω mesons also lead to the conclusion that the quark-line disconnected contribution is O(1%). A calculation with domain-wall quarks now gives a non-zero result in agreement with this expectation [8].…”

Section: Lattice Calculationsupporting

confidence: 70%

The HVP contribution to the anomalous magnetic moment of the muon

Davies¹,

Chakraborty²,

Koponen³

et al. 2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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We report on the HPQCD calculation of the u/d hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon (a µ ) from full lattice QCD. This allows us to obtain a total leading order HVP contribution from u, d, s, c and b quarks. Our value is 666(6)(12) × 10 −10 including systematic uncertainties from quark-line disconnected pieces and QED and isospin effects. Our result implies a discrepancy between the experimental determination of a µ and the Standard model of 3σ . We discuss prospects for improvements to this calculation underway with the MILC and Fermilab Lattice collaborations. 34th annual International Symposium on Lattice Field Theory

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Section: Lattice Calculationsupporting

confidence: 70%

The HVP contribution to the anomalous magnetic moment of the muon

Davies¹,

Chakraborty²,

Koponen³

et al. 2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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“…The present error on a HLO μ , ∼ 4 × 10 −10 , with a fractional accuracy of 0.6%, constitutes the main uncertainty of the SM prediction. An alternative evaluation of a HLO μ can be obtained by lattice QCD calculations [6][7][8][9][10][11]. Even if current lattice QCD results…”

Section: Introductionmentioning

confidence: 99%

Measuring the leading hadronic contribution to the muon g-2 via $$\mu e$$ μ e scattering

et al. 2017

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We propose a new experiment to measure the running of the electromagnetic coupling constant in the spacelike region by scattering high-energy muons on atomic electrons of a low-Z target through the elastic process μ e → μ e. The differential cross section of this process, measured as a function of the squared momentum transfer t = q 2 < 0, provides direct sensitivity to the leading-order hadronic contribution to the muon anomaly a HLO μ . By using a muon beam of 150 GeV, with an average rate of ∼1.3 ×10 7 muon/s, currently available at the CERN North Area, a statistical uncertainty of ∼0.3% can be achieved on a HLO μ after two years of data taking. The direct measurement of a HLO μ via μe scattering will provide an independent determination, competitive with the time-like dispersive approach, and consolidate the theoretical prediction for the muon g-2 in the Standard Model. It will allow therefore a firmer interpretation of the measurements of the future muon g-2 experiments at Fermilab and J-PARC. a

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“…In two recent publications, Blum and Lohmann [1] and Lohmann et al [2] discussed a tunable entanglement in elastic electron collisions with atomic hydrogen or light alkali atoms, where explicitly spin-dependent interactions may be neglected and the process is completely described by two independent parameters, namely the absolute angle-differential cross section (DCS) and a spin-correlation parameter P , which (except for the opposite sign) is the exchange asymmetry A ex that was measured by the Bielefeld [3,4] and NIST [5] groups many years ago. Due to the available experimental data, Lohmann et al [2] presented results for P = −A ex from various close-coupling calculations for atomic hydrogen and sodium, but only for selected energies as a function of the scattering angle, and for lithium, but only at selected angles as a function of energy.…”

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confidence: 99%

“…The latter extreme case corresponds to the well-known situation of two spins forming a combined spin-0 system. Blum and Lohmann [1] analyzed in detail the spin density matrix of the combined (projectile + target electron) system after the collision. Specifics can be found in their paper.…”

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confidence: 99%

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Spin entanglement in elastic electron scattering from lithium atoms

Bartschat

Santos

2017

Phys. Rev. A

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In two recent papers (Phys. Rev. Lett. 116 (2016) 033201; Phys. Rev. A 94 (2016) 032331), the possibility of continuously varying the degree of entanglement between an elastically scattered electron and the valence electron of an alkali target was discussed. In order to estimate how well such a scheme may work in practice, we present results for elastic electron scattering from lithium in the energy regime of 1−5 eV and the full range of scattering angles 0 • − 180 • . The most promising regime for Bell-correlations in this particular collision system are energies between about 1.5 eV and 3.0 eV, in an angular range around 110 • ± 10 • . In addition to the relative exchange asymmetry parameter, we present the differential cross section that is important when estimating the count rate and hence the feasibility of experiments using this system.

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Entanglement and Bell Correlation in Electron-Exchange Collisions

Cited by 20 publications

References 33 publications

The HVP contribution to the anomalous magnetic moment of the muon

The HVP contribution to the anomalous magnetic moment of the muon

Measuring the leading hadronic contribution to the muon g-2 via $$\mu e$$ μ e scattering

Spin entanglement in elastic electron scattering from lithium atoms

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