Violation of the two-time Leggett-Garg inequalities for a coarse-grained quantum field

2023/11/06 by Masaki Tani, Kosei Hatakeyama, Tani, Masaki +7
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2311.02867

openalex publication_date 2023/11/06 · openalex created_date 2023/11/08 · openalex updated_date 2026/07/28

Abstract

We investigate the violation of the Leggett-Garg inequalities for a quantum field, focusing on the two-time quasi-probability distribution function of the dichotomic variable with a coarse-grained scalar field. The Leggett-Garg inequalities are violated depending on the quantum state of the field and the size of coarse-graining. We also demonstrate that the violation of the Leggett-Garg inequalities appears even for the vacuum state and the squeezed state by properly constructing the dichotomic variable and the projection operator.

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