Measure of electron-electron correlation in atomic physics
Open accessAbstract
We propose a criterion to determine the numerical degree of global (non-operator-specific) correlation of a multiparticle quantum system and apply it to several situations, including electron-atom scattering and strong-field photoionization. We show that the degree of correlation tends to increase in the presence of the field.
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According to the Schmidt decomposition (Schmidt theorem), any entangled (unfactorable) bipartite wave function can be presented as a sum of factorized terms.
“A natural extension of this definition is given by the Schmidt decomposition, or Schmidt theorem [14,15], according to which any entangled (unfactorable) bipartite wave function can be presented as a sum of factorized terms.”
From Entanglement of biphoton states: qutrits and ququarts (2011) · cites this paper as [14]
The passage labelled Abstract presents an exact two-particle wavefunction as a sum of canonical terms, and the passage labelled L508 calls that superposition the Schmidt decomposition. But the paper discusses identical-particle terms—Slater determinants for fermions and orbital products for bosons—rather than stating the claim for any bipartite wavefunction. No page number is supplied for these passages. (LLM, conf=0.86)
Experimental — accuracy not yet measuredThe trace of the squared reduced density matrix ρ_r^2 determines purity of the reduced state and coincides with the inverse Schmidt entanglement parameter K^{-1}.
“As is known [14,15], the trace of the squared reduced density matrix ρ 2 r determines purity of the reduced state coinciding with the inverse value of the Schmidt entanglement parameter K -1 .”
From Entanglement of biphoton states: qutrits and ququarts (2011) · cites this paper as [14]
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Research works printed but not linked: 1
- Heideman H G M. Watanabe S, Leogyel V I and Haysak M 1 1988 Multiphmon P m c c s m ed S J Smith and P L Knight (Cambridge: Cambridge University Press) pp 272.316
Cited by
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Entangled Bessel-Gaussian beams
McLaren, M., Agnew, M., Leach, J., Roux, F. S., Padgett, M. J., Boyd, R. W., & Forbes, A. (2012) · Optics Express · doi:10.1364/oe.20.023589 · Cited by 126 · see citing works
Entanglement of biphoton states: qutrits and ququarts
Fedorov, M. V., Volkov, P. A., Mikhailova, J. M., Straupe, S. S., & Kulik, S. P. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/8/083004 · Cited by 37 · see citing works
- Authors
- Grobe, R., Rzazewski, K., & Eberly, J. H.
- Affiliations
- University of Rochester (US)
- ORCID
- Venue
- Journal of Physics B: Atomic, Molecular and Optical Physics
- Publisher
- IOP Publishing
- Published
- 1994-08-28
- Volume
- 27
- Issue
- 16
- Pages
- L503-L508
- ISSN
- 0953-4075 (ISSN-L)
- 1361-6455
- OpenAlex
- W1973996047
- Cited by
- 253
- References
- 0
- Citations by year
- 2026: 4 · 2025: 13 · 2024: 8 · 2023: 10 · 2022: 10 · 2021: 9 · 2020: 10 · 2019: 7 · 2018: 6 · 2017: 8 · 2016: 12 · 2015: 8 · 2014: 14 · 2013: 9 · 2012: 14
- FWCI
- 3.18
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics B Atomic Molecular and Optical Physics (publishedVersion)
- Funders
- National Science Foundation (9200542, 8905178)
- University of Michigan
- Strong
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- electron correlation, electron-atom scattering, strong-field photoionization, correlation criterion, strong-field effects
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