Leggett-Garg inequalities for testing quantumness of gravity
arXiv:2111.14064 · doi:10.1103/PhysRevA.106.012214
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.
arXiv comment14 pages, accepted for publication in the Physical Review A
References in corpus (27)
- Cavity Optomechanics
- A computable measure of entanglement
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Leggett-Garg Inequalities
- Tabletop experiments for quantum gravity: a user's manual
- On the possibility of laboratory evidence for quantum superposition of geometries
- Observable quantum entanglement due to gravity
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- A micromechanical proof-of-principle experiment for measuring the gravitational force of milligram masses
- Non-Gaussianity as a signature of a quantum theory of gravity
- The Leggett-Garg Inequalities and No-Signalling in Time: A Quasi-Probability Approach
- Using an atom interferometer to infer gravitational entanglement generation
- An Optomechanical Quantum Cavendish Experiment
- Quantum correlation of light mediated by gravity
- Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events
- Gravity-induced entanglement in optomechanical systems
- Quantum Superposition of Two Gravitational Cat States
- Entanglement and decoherence of massive particles due to gravity
- High Q mg-scale monolithic pendulum for quantum-limited gravity measurements
- Negativity volume of the generalized Wigner function as an entanglement witness for hybrid bipartite states
- On the Significance of Interferometric Revivals for the Fundamental Description of Gravity
- Leggett-Garg tests for macrorealism: interference experiments and the simple harmonic oscillator
- A quasi-probability for the arrival time problem with links to backflow and the Leggett-Garg inequalities
- Non-Gaussian entanglement in gravitating masses: the role of cumulants
- Limits on inference of gravitational entanglement
- Leggett-Garg tests for macrorealism in the quantum harmonic oscillator and more general bound systems
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