Violation of the Leggett-Garg inequality in photon-graviton conversion
arXiv:2601.20436 · doi:10.1103/j61w-7xcw
Abstract
The Leggett-Garg inequality (LGI) is a temporal analogue of Bell's inequality and provides a quantitative test of the nonclassicality of a system through its violation. We analytically investigate the violation of the LGI in the context of photon-graviton conversion in a magnetic field background, motivated by its potential applications to testing the nonclassicality of gravity. When gravitational perturbations are quantized as gravitons, the conversion of an initial single photon state gives rise to a superposition of photon and graviton states. We show that the temporal correlations obtained from successive projective measurements on the photon-graviton system violate the LGI. Observation of such a violation would provide a novel avenue for probing the quantum nature of gravity.
arXiv comment14 pages, 1 figure
References in corpus (39)
- Violation of Bell's inequality under strict Einstein locality conditions
- Violation of Bell inequalities by photons more than 10 km apart
- Leggett-Garg Inequalities
- Experimental violation of a Bell's inequality in time with weak measurement
- Violation of the Leggett-Garg inequality with weak measurements of photons
- Experimental Violation of Two-Party Leggett-Garg Inequalities with Semi-weak Measurements
- Partial-measurement back-action and non-classical weak values in a superconducting circuit
- Detecting High-Frequency Gravitational Waves with Microwave Cavities
- Violation of the Leggett-Garg Inequality in Neutrino Oscillations
- Upper limits on the amplitude of ultra-high-frequency gravitational waves from graviton-photon mixing
- Signatures of the Quantization of Gravity at Gravitational Wave Detectors
- Violation of Leggett-Garg inequalities in quantum measurements with variable resolution and back-action
- Space-like Separation in a Bell Test assuming Gravitationally Induced Collapses
- Probing GHz Gravitational Waves with Graviton-magnon Resonance
- The Noise of Gravitons
- Experimental violation of the Leggett-Garg inequality under decoherence
- Noise and decoherence induced by gravitons
- Graviton detection and the quantization of gravity
- Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos
- Possible detection of nonclassical primordial gravitational waves with Hanbury Brown - Twiss interferometry
- Discord and Decoherence
- Exploring High Frequency Gravitational Waves with Magnons
- Challenges and Opportunities of Gravitational Wave Searches above 10 kHz
- Three Flavoured neutrino oscillations and the Leggett Garg Inequality
- Bipartite temporal Bell inequalities for two-mode squeezed states
- Leggett-Garg inequalities for testing quantumness of gravity
- New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality
- Conversion of Gravitons into Dark Photons in Cosmological Dark Magnetic Fields
- Search for high-frequency gravitational waves with Rydberg atoms
- Violation of a Leggett-Garg inequality using ideal negative measurements in neutron interferometry
- Graviton physics: Quantum field theory of gravitons, graviton noise and gravitational decoherence -- a concise tutorial
- Quantum coherence of relic gravitons and Hanbury Brown-Twiss interferometry
- Coherent State Description of Gravitational Waves from Binary Black Holes
- Stimulated emission of relic gravitons and their super-Poissonian statistics
- Entanglement and squeezing of gravitational waves
- Nonlinear Ringdowns as Sources and Detectors of Quantum Gravitational Waves
- Violation of the two-time Leggett-Garg inequalities for a harmonic oscillator
- Binary gravitational waves as probes of quantum graviton states
- Exploring Quantumness at Long-Baseline Neutrino Experiments