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

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arxiv 2311.02867 v1 pith:4K25C2NI submitted 2023-11-06 quant-ph gr-qc

Masaki Tani , Kosei Hatakeyama , Daisuke Miki , Yuki Yamasaki , Kazuhiro Yamamoto This is my paper · ORCID
classification quant-phgr-qc
keywords fieldinequalitiesleggett-gargquantumstateviolationcoarse-graineddichotomic
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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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