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Rotating spin-1/2 Bose–Einstein condensates in a gradient magnetic field with spin–orbit coupling

Communications in Theoretical Physics 2020年第9期72卷 140-145页

作者： Ji-Guo Wang Yue-Qing Li Department of Mathematics and Physics Shijiazhuang TieDao UniversityShijiazhuang 050043China Institute of Applied Physics Shijiazhuang TieDao UniversityShijiazhuang 050043China

We study the ground-state phases of two-dimensional rotating spin-orbit coupled spin-1/2 Bose-Einstein condensates(BECs) in a gradient magnetic field. The competition between gradient magnetic field, spin-orbit coupling and rotation leads to a variety of ground-state phase structures. In the weakly rotation regime, as the increase of gradient magnetic field strength, the BECs experiences a phase transition from the unstable phase to the single vortex-line phase. The unstable phase presents the vortex lines structures along the off-diagonal direction. With magnetic field gradient strength increasing, the number of vortex lines changes accordingly. As the magnetic field gradient strength increases further, the single vortex-line phase with a single vortex line along the diagonal direction is formed. The phase diagram shows that the boundary between the two phases is linear with the relative repulsion λ?≥?1 and is nonlinear with λ?

关键词： Bose–Einstein condensate spin–orbit coupling gradient magnetic field

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Experimental investigation on possibility of oxygen enrichment by using gradient magnetic fields

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Frontiers of Chemical Science and Engineering 2007年第3期1卷 271-276页

作者： CAI Jun WANG Li WU Ping TONG Lige SUN Shufeng School of Mechanical Engineering University of Science and Technology BeijingBeijing 100083China School of Applied Science University of Science and Technology BeijingBeijing 100083China

This paper presents a novel method that uses the interception effect of gradient magnetic field on oxygen molecules to realize *** use of two opposite magnetic poles of two magnets at a certain distance forms a magnetic space having a field intensity gradient near its *** air injected into the magnetic space outflows from the magnetic space via its borders,oxygen molecules in the air will experience the interception effect of the gradient magnetic field,but nitrogen molecules will outflow from the magnetic space without ***,continuous oxygen enrichment is *** enrichment degree of oxygen reaches 0.65%when the inlet and outlet air flows are 40 mL/min and 20 mL/min,respectively,and the gas temperature is 298 K and the maximal product of magnetic flux density and its gradient is 563 T2/m(the distance between two magnetic poles is 1 mm).When the gas temperature rises to 343 K,the enrichment degree drops to 0.32%;and when the maximal product of magnetic flux density and field intensity gradient drops to 101 T2/m(the distance between two magnetic poles is 4 mm),the enrichment degree drops to 0.23%.The experimental results show that there is an optimal ratio between the inlet air flow and the outlet air *** the experimental conditions in this paper,the value is about *** is demonstrated that the method presented in this paper can continuously enrich oxygen and has a higher enrich-ment degree than other oxygen-enrichment methods using magnetic separation.

关键词： magnetic separation oxygen enrichment gradient magnetic field separation of oxygen and nitrogen magnetizing force

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A Novel magnetic Separation Oxygen-enriched Method and the Influence of Temperature and magnetic field on Enrichment

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Journal of Thermal Science 2007年第1期16卷 79-83页

作者： Li WANG Jun CAI Ping WU Lige TONG Shufeng SUN School of Mechanical Engineering University of Science and Technology Beijing Beijing 100083 China

A novel oxygen-enriched method is presented. Using two opposite magnetic poles of two magnets with certain distance forms a magnetic space having a field intensity gradient near its borders. When air injected into the magnetic space outflows from the magnetic space via its borders, oxygen molecules in air will experience the interception effect of the gradient magnetic field, but nitrogen molecules will outflow without hindrance. Thereby the continuous oxygen enrichment is realized. The results show that the maximum increment of oxygen concentration reaches 0.49% at 298 K when the maximum product of magnetic flux density and field intensity gradient is 563T^2/m. The enrichment level is significantly influenced by the gas temperature and the magnetic field. The maximum increment of oxygen concentration drops to 0.16% when the gas temperature rises to 343 K, and drops to 0.09% when the maximum product of magnetic flux density and gradient is reduced to 101 T^2/m from 563 T^2/m.

关键词： magnetic separation oxygen enrichment oxygen separation gradient magnetic field magnetizing force

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