Density distribution of ground state of one-dimensional Bose gas with dipole interaction

doi:10.1088/1674-1056/ada433

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30301-030301.doi: 10.1088/1674-1056/ada433

Density distribution of ground state of one-dimensional Bose gas with dipole interaction

Shuchang Hao(郝舒畅) and Yajiang Hao(郝亚江)†

Department of Physics and Institute of Theoretical Physics, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2024-10-21 修回日期:2024-12-16 接受日期:2024-12-31 发布日期:2025-03-15
通讯作者: Yajiang Hao E-mail:haoyj@ustb.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11174026).

Density distribution of ground state of one-dimensional Bose gas with dipole interaction

Shuchang Hao(郝舒畅) and Yajiang Hao(郝亚江)†

Department of Physics and Institute of Theoretical Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2024-10-21 Revised:2024-12-16 Accepted:2024-12-31 Published:2025-03-15
Contact: Yajiang Hao E-mail:haoyj@ustb.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11174026).

摘要/Abstract

摘要： Using the Bose-Fermi mapping method, we obtain the exact ground state wavefunction of one-dimensional (1D) Bose gas with the zero-range dipolar interaction in the strongly repulsive contact interaction limit. Its ground state density distributions for both repulsive and attractive dipole interactions are exhibited. It is shown that in the case of the finite dipole interaction the density profiles do not change obviously with the increase of dipole interaction and display the typical shell structure of Tonks-Girardeau gases. As the repulsive dipole interaction is greatly strong, the density decreases at the center of the trap and displays a sunken valley. As the attractive dipole interaction increases, the density displays more oscillations and sharp peaks appear in the strong attraction limit, which mainly originate from the atoms occupying the low single particle levels.

关键词: Bose gas, one-dimensional, dipole interaction

Abstract: Using the Bose-Fermi mapping method, we obtain the exact ground state wavefunction of one-dimensional (1D) Bose gas with the zero-range dipolar interaction in the strongly repulsive contact interaction limit. Its ground state density distributions for both repulsive and attractive dipole interactions are exhibited. It is shown that in the case of the finite dipole interaction the density profiles do not change obviously with the increase of dipole interaction and display the typical shell structure of Tonks-Girardeau gases. As the repulsive dipole interaction is greatly strong, the density decreases at the center of the trap and displays a sunken valley. As the attractive dipole interaction increases, the density displays more oscillations and sharp peaks appear in the strong attraction limit, which mainly originate from the atoms occupying the low single particle levels.

Key words: Bose gas, one-dimensional, dipole interaction

中图分类号: (Static properties of condensates; thermodynamical, statistical, and structural properties)

03.75.Hh

05.30.Jp (Boson systems) 67.85.-d (Ultracold gases, trapped gases)

Shuchang Hao(郝舒畅) and Yajiang Hao(郝亚江). Density distribution of ground state of one-dimensional Bose gas with dipole interaction[J]. 中国物理B, 2025, 34(3): 30301-030301.

Shuchang Hao(郝舒畅) and Yajiang Hao(郝亚江). Density distribution of ground state of one-dimensional Bose gas with dipole interaction[J]. Chin. Phys. B, 2025, 34(3): 30301-030301.

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Density distribution of ground state of one-dimensional Bose gas with dipole interaction

Density distribution of ground state of one-dimensional Bose gas with dipole interaction

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