Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model
In this work, a coupled theory-guided neural network (coupled-TgNN) is constructed to explore the ground states of one-dimensional binary Bose-Einstein condensates with spin-orbit coupling and a Lee-Huang-Yang term. We find that this method is markedly superior to the ordinary deep neural network du...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-03-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013332 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850062271895568384 |
|---|---|
| author | Xiao-Dong Bai Tianhong Xu Jian Li Yong-Kai Liu Yujia Zhao Jincui Zhao |
| author_facet | Xiao-Dong Bai Tianhong Xu Jian Li Yong-Kai Liu Yujia Zhao Jincui Zhao |
| author_sort | Xiao-Dong Bai |
| collection | DOAJ |
| description | In this work, a coupled theory-guided neural network (coupled-TgNN) is constructed to explore the ground states of one-dimensional binary Bose-Einstein condensates with spin-orbit coupling and a Lee-Huang-Yang term. We find that this method is markedly superior to the ordinary deep neural network due to both the theoretical guidance for the underlying problem and the coupling of neural networks. The former shows better accuracy and more strong robustness and can rapidly construct any ground state using only imaginary-time evolution data of 12 solutions as the training data, without the tedious step-by-step iterative calculation process. In addition, based on the coupled-TgNN approach, a phase transition boundary is also discovered, which clearly distinguishes the single-peak ground state phase from the striped phase. The results not only greatly reduce computational time for exploring the properties of the ground states but also provide a promising technique for discovering phase transitions in other coupled nonlinear systems. |
| format | Article |
| id | doaj-art-20ff29b8fe0d4fc7b78d8f04d5cf662a |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-20ff29b8fe0d4fc7b78d8f04d5cf662a2025-08-20T02:49:57ZengAmerican Physical SocietyPhysical Review Research2643-15642025-03-017101333210.1103/PhysRevResearch.7.013332Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate modelXiao-Dong BaiTianhong XuJian LiYong-Kai LiuYujia ZhaoJincui ZhaoIn this work, a coupled theory-guided neural network (coupled-TgNN) is constructed to explore the ground states of one-dimensional binary Bose-Einstein condensates with spin-orbit coupling and a Lee-Huang-Yang term. We find that this method is markedly superior to the ordinary deep neural network due to both the theoretical guidance for the underlying problem and the coupling of neural networks. The former shows better accuracy and more strong robustness and can rapidly construct any ground state using only imaginary-time evolution data of 12 solutions as the training data, without the tedious step-by-step iterative calculation process. In addition, based on the coupled-TgNN approach, a phase transition boundary is also discovered, which clearly distinguishes the single-peak ground state phase from the striped phase. The results not only greatly reduce computational time for exploring the properties of the ground states but also provide a promising technique for discovering phase transitions in other coupled nonlinear systems.http://doi.org/10.1103/PhysRevResearch.7.013332 |
| spellingShingle | Xiao-Dong Bai Tianhong Xu Jian Li Yong-Kai Liu Yujia Zhao Jincui Zhao Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model Physical Review Research |
| title | Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model |
| title_full | Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model |
| title_fullStr | Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model |
| title_full_unstemmed | Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model |
| title_short | Rapid discovering ground states in Lee-Huang-Yang spin-orbit coupled Bose-Einstein condensates via a coupled-TgNN surrogate model |
| title_sort | rapid discovering ground states in lee huang yang spin orbit coupled bose einstein condensates via a coupled tgnn surrogate model |
| url | http://doi.org/10.1103/PhysRevResearch.7.013332 |
| work_keys_str_mv | AT xiaodongbai rapiddiscoveringgroundstatesinleehuangyangspinorbitcoupledboseeinsteincondensatesviaacoupledtgnnsurrogatemodel AT tianhongxu rapiddiscoveringgroundstatesinleehuangyangspinorbitcoupledboseeinsteincondensatesviaacoupledtgnnsurrogatemodel AT jianli rapiddiscoveringgroundstatesinleehuangyangspinorbitcoupledboseeinsteincondensatesviaacoupledtgnnsurrogatemodel AT yongkailiu rapiddiscoveringgroundstatesinleehuangyangspinorbitcoupledboseeinsteincondensatesviaacoupledtgnnsurrogatemodel AT yujiazhao rapiddiscoveringgroundstatesinleehuangyangspinorbitcoupledboseeinsteincondensatesviaacoupledtgnnsurrogatemodel AT jincuizhao rapiddiscoveringgroundstatesinleehuangyangspinorbitcoupledboseeinsteincondensatesviaacoupledtgnnsurrogatemodel |