Complex contact interaction for systems with short-range two-body loss
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866916411202338816 |
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| author | Wang, Ce Liu, Chang Shi, Zhe-Yu |
| author_facet | Wang, Ce Liu, Chang Shi, Zhe-Yu |
| contents | Contact interaction is a fundamental concept that appears in various areas of physics. It simplifies physical models by replacing the detailed short-range interaction with a zero-range contact potential which reproduces the same low-energy scattering parameter, i.e. the $s$-wave scattering length. In this work, we generalize this concept to a system with short-range two-body loss. We show that the short-range two-body loss can effectively be replaced by a zero-range complex contact potential with proper regularization characterized by a complex scattering length. We develop appropriate ways to regularize this potential in the Lindblad master equation and apply them to the dynamic problem of Bose-Einstein condensate with weak interaction and two-body loss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_11284 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Complex contact interaction for systems with short-range two-body loss Wang, Ce Liu, Chang Shi, Zhe-Yu Quantum Gases Contact interaction is a fundamental concept that appears in various areas of physics. It simplifies physical models by replacing the detailed short-range interaction with a zero-range contact potential which reproduces the same low-energy scattering parameter, i.e. the $s$-wave scattering length. In this work, we generalize this concept to a system with short-range two-body loss. We show that the short-range two-body loss can effectively be replaced by a zero-range complex contact potential with proper regularization characterized by a complex scattering length. We develop appropriate ways to regularize this potential in the Lindblad master equation and apply them to the dynamic problem of Bose-Einstein condensate with weak interaction and two-body loss. |
| title | Complex contact interaction for systems with short-range two-body loss |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2109.11284 |