Time dilation of quantum clocks in a relativistic gravitational potential
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910924485427200 |
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| author | Favalli, Tommaso Smerzi, Augusto |
| author_facet | Favalli, Tommaso Smerzi, Augusto |
| contents | We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum time formalism, exploring the dynamics of clocks assuming them in both a product state and a more general (entangled) state. The gravitational redshift, as emerging from our framework, is also proposed and discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_04281 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Time dilation of quantum clocks in a relativistic gravitational potential Favalli, Tommaso Smerzi, Augusto General Relativity and Quantum Cosmology Quantum Physics We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum time formalism, exploring the dynamics of clocks assuming them in both a product state and a more general (entangled) state. The gravitational redshift, as emerging from our framework, is also proposed and discussed. |
| title | Time dilation of quantum clocks in a relativistic gravitational potential |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2304.04281 |