Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network

Bai, Xiao-Dong1; Zhang, Dongxiao2

2021-12-27

10.1103/PhysRevA.104.063316

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

The ground state of spin-orbit-coupled (SOC) Bose-Einstein condensates (BECs) is an intriguing subject that has not yet been fully explored. In particular, how to quickly obtain ground states for discovering their new structures is currently under active debate. In this work, we construct a theory-guided neural network (TgNN) to explore the ground states of one-dimensional BECs with and without SOC. We find that such method is markedly superior to the ordinary deep neural network due to theory guidance of the underlying problems. The former can replace the traditional method to directly give any ground state within a valid parameter plane using only imaginary-time evolution data of nine solutions as the training data, without the tedious step-by-step iterative calculation process. Furthermore, we show that the method of TgNN exhibits higher reliability and a better ability to generalize beyond regimes covered with the training data. This method provides a promising technique for discovering novel structures of ground states in parameterized spatiotemporal systems.

SCI ; EI

英语

通讯

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000737281100012

AMER PHYSICAL SOC

20220111429957

Bose-Einstein condensation ; Deep neural networks ; Iterative methods ; Statistical mechanics

Ergonomics and Human Factors Engineering:461.4 ; Numerical Methods:921.6 ; Mathematical Statistics:922.2 ; Mechanics:931.1 ; Physical Properties of Gases, Liquids and Solids:931.2 ; Atomic and Molecular Physics:931.3

PHYSICS

Web of Science

1.Peng Cheng Lab, Intelligent Energy Lab, Frontier Res Ctr, Shenzhen 518000, Peoples R China
2.Southern Univ Sci & Technol, Sch Environm Sci & Engn, Shenzhen 518000, Peoples R China

Bai, Xiao-Dong,Zhang, Dongxiao. Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network[J]. PHYSICAL REVIEW A,2021,104(6).

Bai, Xiao-Dong,&Zhang, Dongxiao.(2021).Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network.PHYSICAL REVIEW A,104(6).

Bai, Xiao-Dong,et al."Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network".PHYSICAL REVIEW A 104.6(2021).