论文标题

具有强反排斥性互动的同质二元玻色混合物的自洽理论

Self-consistent theory of a homogeneous binary Bose mixture with strong repulsive interspecies interaction

论文作者

Rakhimov, Abdulla, Abdurakhmonov, Tolibjon, Narzikulov, Zabardast, Yukalov, Vyacheslav I.

论文摘要

多组分量子气体是研究​​由不同成分之间相互作用引起的基本现象的理想平台。特别是由于两个物种之间的排斥相互作用,该系统可能表现出相位分离。我们开发了一种基于平均场的理论,用于两组分组的玻色混合物,该理论等同于Hartree-fock-Bogoliubov近似,并为相边界和混血性提供了分析表达式。大多数现有理论仅适用于弱相互作用的bose气体,预测相边界由标准$ g_ {ab} \ leqslant \ sqrt \ sqrt {g_ {aa} g_} g_ {aa} g_ {bb}} $(其中$ g_ {ab} $ couplate couplate couplant couplant couplant couplant couplant couplant $ b $ a $我们表明,在Bose-Einstein-opensation阶段($ t \ leqslant t_c $),该系统可能保持稳定且可混杂的阶段,对于$ g_ {ab} $的较大值,取决于气体参数$γ$和温度。

Multicomponent quantum gases are ideal platforms to study fundamental phenomena arising from the mutual interaction between different constituents. Particularly, due to the repulsive interactions between two species, the system may exhibit a phase separation. We develop a mean-field-based theory for a two-component Bose mixture, which is equivalent to the Hartree-Fock-Bogoliubov approximation, and derive analytical expressions for the phase boundary and miscibility. The majority of existing theories, which are valid only for weakly interacting Bose gases, predict that the phase boundary is determined by the criterion $g_{ab}\leqslant\sqrt{g_{aa} g_{bb}}$ (where $g_{ab}$ is a coupling constant between the components $a$ and $b$). We show that in the Bose-Einstein-condensation phase ($T\leqslant T_c$) the system may remain in a stable and miscible phase also for larger values of $g_{ab}$, depending on the gas parameter $γ$ and temperature.

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