Probing Lambda-Gravity with Bose-Einstein Condensate
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arXiv
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2024
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| author | Fernandez-Melendez, Hector A. Belyaev, Alexander Gurzadyan, Vahe Fuentes, Ivette |
| author_facet | Fernandez-Melendez, Hector A. Belyaev, Alexander Gurzadyan, Vahe Fuentes, Ivette |
| contents | We propose a precise test of two fundamental gravitational constants using a detector concept that exploits the dynamics of quantum phononic excitations in a trapped Bose-Einstein condensate (BEC), operable at the scale of tabletop experiments. In this setup, the sensitivity is enhanced by approximately 2 orders of magnitude through the use of a tritter operation, which mixes phononic excitations with the BEC's ground state. The BEC exhibits unique sensitivity to the two key components of the gravitational potential in $Λ$-gravity: the Newtonian $GM/r$ term and the cosmological constant $Λr^2$, both entering the most general function following from a Gurzadyan's theorem. Using state-of-the-art experimental design, we predict that the gravitational constant $G$ could be measured with an accuracy up to $10^{-17}$ N m$^2$/kg$^2$, representing an improvement by 2 orders of magnitude over current measurements. Moreover, this experiment aims to establish the best Earth-based upper limit on $Λ$ at $<10^{-31}$ m$^{-2}$, marking the first laboratory-based probe of the cosmological constant. Additionally, the setup allows for the measurement of the distance-dependent behavior of each term in the gravitational potential, providing a means to test modified gravity theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probing Lambda-Gravity with Bose-Einstein Condensate Fernandez-Melendez, Hector A. Belyaev, Alexander Gurzadyan, Vahe Fuentes, Ivette Quantum Physics Cosmology and Nongalactic Astrophysics Quantum Gases General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We propose a precise test of two fundamental gravitational constants using a detector concept that exploits the dynamics of quantum phononic excitations in a trapped Bose-Einstein condensate (BEC), operable at the scale of tabletop experiments. In this setup, the sensitivity is enhanced by approximately 2 orders of magnitude through the use of a tritter operation, which mixes phononic excitations with the BEC's ground state. The BEC exhibits unique sensitivity to the two key components of the gravitational potential in $Λ$-gravity: the Newtonian $GM/r$ term and the cosmological constant $Λr^2$, both entering the most general function following from a Gurzadyan's theorem. Using state-of-the-art experimental design, we predict that the gravitational constant $G$ could be measured with an accuracy up to $10^{-17}$ N m$^2$/kg$^2$, representing an improvement by 2 orders of magnitude over current measurements. Moreover, this experiment aims to establish the best Earth-based upper limit on $Λ$ at $<10^{-31}$ m$^{-2}$, marking the first laboratory-based probe of the cosmological constant. Additionally, the setup allows for the measurement of the distance-dependent behavior of each term in the gravitational potential, providing a means to test modified gravity theories. |
| title | Probing Lambda-Gravity with Bose-Einstein Condensate |
| topic | Quantum Physics Cosmology and Nongalactic Astrophysics Quantum Gases General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.19755 |