Quantum Nonlocality and Quantum Correlations in the Stern-Gerlach Experiment
| Autor: | Luis Manuel Arévalo Aguilar, Alma Elena Piceno Martínez, Marcela M. Méndez Otero, Julio Abraham Mendoza Fierro, Ernesto Benítez Rodríguez |
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| Rok vydání: | 2018 |
| Předmět: |
Stern–Gerlach experiment
General Physics and Astronomy lcsh:Astrophysics 01 natural sciences Article Quantum nonlocality symbols.namesake Pauli exclusion principle Correlation function Quantum state Quantum mechanics lcsh:QB460-466 0103 physical sciences quantum nonlocality quantum mechanics lcsh:Science 010306 general physics Quantum Spin-½ Physics Operator (physics) 05 social sciences 050301 education Quantum Physics lcsh:QC1-999 symbols lcsh:Q 0503 education lcsh:Physics |
| Zdroj: | Entropy; Volume 20; Issue 4; Pages: 299 Entropy, Vol 20, Iss 4, p 299 (2018) Entropy |
| ISSN: | 1099-4300 |
| Popis: | The Stern–Gerlach experiment (SGE) is one of the foundational experiments in quantum physics. It has been used in both the teaching and the development of quantum mechanics. However, for various reasons, some of its quantum features and implications are not fully addressed or comprehended in the current literature. Hence, the main aim of this paper is to demonstrate that the SGE possesses a quantum nonlocal character that has not previously been visualized or presented before. Accordingly, to show the nonlocality into the SGE, we calculate the quantum correlations C ( z , θ ) by redefining the Banaszek–Wódkiewicz correlation in terms of the Wigner operator, that is C ( z , θ ) = 〈 Ψ | W ^ ( z , p z ) σ ^ ( θ ) | Ψ 〉 , where W ^ ( z , p z ) is the Wigner operator, σ ^ ( θ ) is the Pauli spin operator in an arbitrary direction θ and | Ψ 〉 is the quantum state given by an entangled state of the external degree of freedom and the eigenstates of the spin. We show that this correlation function for the SGE violates the Clauser–Horne–Shimony–Holt Bell inequality. Thus, this feature of the SGE might be interesting for both the teaching of quantum mechanics and to investigate the phenomenon of quantum nonlocality. |
| Databáze: | OpenAIRE |
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