Violation of the Leggett-Garg inequality in photon-graviton conversion
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918310959906816 |
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| author | Nomura, Kimihiro Taniguchi, Akira Ueda, Kazushige |
| author_facet | Nomura, Kimihiro Taniguchi, Akira Ueda, Kazushige |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20436 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Violation of the Leggett-Garg inequality in photon-graviton conversion Nomura, Kimihiro Taniguchi, Akira Ueda, Kazushige General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics 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. |
| title | Violation of the Leggett-Garg inequality in photon-graviton conversion |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2601.20436 |