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arXiv 1709.09698cond-mat.quant-gascond-mat.stat-mech
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相互作用玻色和费米粒子混合体中的玻色-爱因斯坦凝聚

Bose-Einstein condensation in a mixture of interacting Bose and Fermi particles

Yu. M. Poluektov, A. A. Soroka

摘要:

建立了玻色粒子和费米粒子混合体的自洽场模型。详细讨论了类δ相互作用的情况,得到了其热力学函数,并研究了费米子混合物存在下相互作用粒子的玻色-爱因斯坦凝聚。结果表明,费米粒子的加入使玻色-爱因斯坦凝聚的温度降低,相变温度下的热力学量特征变平滑。在纯玻色系统的情况下,在与凝聚态的混合物状态下,热力学势对玻色粒子之间的相互作用常数的依赖性具有非解析性质,因此证明不可能在玻色粒子相互作用的大小上发展微扰理论。

英文摘要:

A self-consistent field model for a mixture of Bose and Fermi particles is formulated. There is explored in detail the case of a delta-like interaction, for which the thermodynamic functions are obtained, and Bose-Einstein condensation of interacting particles in the presence of the admixture of fermions is studied. It is shown that the admixture of Fermi particles leads to reducing of the temperature of Bose-Einstein condensation and smoothing of features of thermodynamic quantities at the transition temperature. As in the case of a pure Bose system, in the state of a mixture with condensate the dependence of the thermodynamic potential on the interaction constant between Bose particles has a nonanalytic character, so that it proves impossible to develop the perturbation theory in the magnitude of interaction of Bose particles.

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