Density-functional theory of two-component Bose gases in one-dimensional harmonic traps

Release time:2022-04-13  Hits:

• Affiliation of Author(s):数理学院
• Teaching and Research Group:0206
• Journal:physical review a
• Funded by:国家自然科学基金项目
• Key Words:Density-functional theory,two component,exact solution
• Abstract:We investigate the ground-state properties of two-component Bose gases confined in one-dimensional harmonic traps in the scheme of density-functional theory. The density-functional calculations employ a Betheansatz-based local-density approximation for the correlation energy, which accounts for the correlation effect properly from the weakly interacting regime to the strongly interacting regime. For the binary Bose mixture with spin-independent interaction, the homogeneous reference system is exactly solvable by the Bethe-ansatz method. Within the local-density approximation, we determine the density distribution of each component and study its evolution from Bose distributions to Fermi-like distribution with the increase in interaction. For the binary mixture of Tonks-Girardeau gases with a tunable interspecies repulsion, with a generalized Bose-Fermi transformation we show that the Bose mixture can be mapped into a two-component Fermi gas, which corresponds to exact soluble Yang-Gaudin model for the homogeneous system. Based on the ground-state energy function of the Yang-Gaudin model, the ground-state density distributions are calculated for various interspecies interactions. It is shown that with the increase in interspecies interaction, the system exhibits compositefermionization crossover.
• First Author:郝亚江
• Volume:80
• Page Number:1
• Number of Words:1
• Translation or Not:no