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

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

URL: http://arxiv.org/abs/2311.02867v1
Date: Mon, 6 Nov 2023 04:35:36 GMT
Title: Violation of the two-time Leggett-Garg inequalities for a coarse-grained quantum field
Authors: Masaki Tani, Kosei Hatakeyama, Daisuke Miki, Yuki Yamasaki, Kazuhiro Yamamoto
Abstract summary: We show that 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.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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