Leggett-Garg inequalities for testing quantumness of gravity
- URL: http://arxiv.org/abs/2111.14064v2
- Date: Thu, 30 Jun 2022 22:39:33 GMT
- Title: Leggett-Garg inequalities for testing quantumness of gravity
- Authors: Akira Matsumura, Yasusada Nambu, Kazuhiro Yamamoto
- Abstract summary: The violation of the Leggett-Garg inequalities is discussed using the two-time quasiprobability in connection with the entanglement negativity generated by gravitational interaction.
The feasibility of detecting violations of the Leggett-Garg inequalities in hybrid systems is also discussed.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this study, we determine a violation of the Leggett-Garg inequalities due
to gravitational interaction in a hybrid system consisting of a harmonic
oscillator and a spatially localized superposed particle. The violation of the
Leggett-Garg inequalities is discussed using the two-time quasiprobability in
connection with the entanglement negativity generated by gravitational
interaction. It is demonstrated that the entanglement suppresses the violation
of the Leggett-Garg inequalities when one of the two times of the
quasiprobability t_1 is chosen as the initial time. Further, it is shown that
the Leggett-Garg inequalities are generally violated due to gravitational
interaction by properly choosing the configuration of the parameters, including
t_1 and t_2, which are the times of the two-time quasiprobability. The
feasibility of detecting violations of the Leggett-Garg inequalities in hybrid
systems is also discussed.
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