Analog model for Euclidean wormholes: Bose-Einstein condensate with dirty surfaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909647928033280 |
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| author | de Freitas, Isaque P. Svaiter, Nami F. Heymans, Gustavo O. |
| author_facet | de Freitas, Isaque P. Svaiter, Nami F. Heymans, Gustavo O. |
| contents | We study a Bose-Einstein condensate under the effects of the non-condensate atomic cloud. We model the resulting linear interaction of the condensate with the atomic gas as a quenched disorder. Using the distributional zeta function method, we obtain a representation for the quenched free energy as a series of integral moments of the partition function. Assuming that the Bose-Einstein condensate is confined between two planar surfaces, we show that random surface fields generate non-local terms in the effective action. The non-local effects in this condensed matter system define an analog model of a Euclidean wormhole. The leading contribution of the non-local interactions to the Casimir pressure is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11204 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analog model for Euclidean wormholes: Bose-Einstein condensate with dirty surfaces de Freitas, Isaque P. Svaiter, Nami F. Heymans, Gustavo O. General Relativity and Quantum Cosmology Disordered Systems and Neural Networks We study a Bose-Einstein condensate under the effects of the non-condensate atomic cloud. We model the resulting linear interaction of the condensate with the atomic gas as a quenched disorder. Using the distributional zeta function method, we obtain a representation for the quenched free energy as a series of integral moments of the partition function. Assuming that the Bose-Einstein condensate is confined between two planar surfaces, we show that random surface fields generate non-local terms in the effective action. The non-local effects in this condensed matter system define an analog model of a Euclidean wormhole. The leading contribution of the non-local interactions to the Casimir pressure is obtained. |
| title | Analog model for Euclidean wormholes: Bose-Einstein condensate with dirty surfaces |
| topic | General Relativity and Quantum Cosmology Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2412.11204 |