Time-dependent condensate formation in ultracold atoms with energy-dependent transport coefficients
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916357010882560 |
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| author | Larsson, M. Wolschin, G. |
| author_facet | Larsson, M. Wolschin, G. |
| contents | Time-dependent Bose-Einstein condensate (BEC) formation in ultracold atoms is investigated in a nonlinear diffusion model. For constant transport coefficients, the model has been solved analytically. Here, we extend it to include energy-dependent transport coeffcients and numerically solve the nonlinear equation. Our results are compared with the earlier analytical model for constant transport coeffcients, and with recent deep-quench data for K-39 at various scattering lengths. Some non-physical predictions from the constant-coefficient model are resolved using energy-dependent drift and diffusion. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_14307 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-dependent condensate formation in ultracold atoms with energy-dependent transport coefficients Larsson, M. Wolschin, G. Quantum Gases Statistical Mechanics Time-dependent Bose-Einstein condensate (BEC) formation in ultracold atoms is investigated in a nonlinear diffusion model. For constant transport coefficients, the model has been solved analytically. Here, we extend it to include energy-dependent transport coeffcients and numerically solve the nonlinear equation. Our results are compared with the earlier analytical model for constant transport coeffcients, and with recent deep-quench data for K-39 at various scattering lengths. Some non-physical predictions from the constant-coefficient model are resolved using energy-dependent drift and diffusion. |
| title | Time-dependent condensate formation in ultracold atoms with energy-dependent transport coefficients |
| topic | Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2407.14307 |