Quantum nature of gravity in self-bound quantum droplets
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914136584093696 |
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| author | Taiba, Asma Tahar Boudjemaa, Abdelaali |
| author_facet | Taiba, Asma Tahar Boudjemaa, Abdelaali |
| contents | We explore the possibility of testing the quantum nature of the gravitational field with an ultracold self-bound quantum droplet of one-dimensional Bose-Bose mixtures. To this end, we solve variationally and numerically the underlying generalized Gross-Pitaevskii equation which includes the effects of quadratic and cubic nonlinearities. We derive the associated generalized uncertainty principle and its corresponding minimal length. The obtained modified uncertainty relation enables us to search for the quantum gravity signatures in both small and large droplets. We place bounds on the parameter using existing experimental data from recent experiment of dilute droplets of potassium. Improved upper bounds on the generalized uncertainty principle parameters are found from our analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum nature of gravity in self-bound quantum droplets Taiba, Asma Tahar Boudjemaa, Abdelaali Quantum Gases High Energy Physics - Theory We explore the possibility of testing the quantum nature of the gravitational field with an ultracold self-bound quantum droplet of one-dimensional Bose-Bose mixtures. To this end, we solve variationally and numerically the underlying generalized Gross-Pitaevskii equation which includes the effects of quadratic and cubic nonlinearities. We derive the associated generalized uncertainty principle and its corresponding minimal length. The obtained modified uncertainty relation enables us to search for the quantum gravity signatures in both small and large droplets. We place bounds on the parameter using existing experimental data from recent experiment of dilute droplets of potassium. Improved upper bounds on the generalized uncertainty principle parameters are found from our analysis. |
| title | Quantum nature of gravity in self-bound quantum droplets |
| topic | Quantum Gases High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.12838 |