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arXiv 1201.2233cond-mat.quant-gas
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囚禁相互作用玻色气体的热力学性质

Thermodynamical properties of a trapped interacting Bose gas

Shi-Jie Yang, Yuechan Liu, Shiping Feng

摘要:

在平均场近似下,研究了谐振势场中相互作用玻色原子的量子力学性质。对于弱相互作用,量子统计等价于有效平均场势中的理想气体。Gross-Pitaevskii方程的本征值被确定为理想气体的化学势。计算了原子的凝聚温度和密度分布。发现临界温度$T_c$随相互作用的增加而降低。在临界点以下,凝聚分数表现出$N_0/N=1-(T/T_c)^γ$的普适关系,其中指数$γ\approx 2.3$与相互作用强度、化学势以及限制势的频率无关。

英文摘要:

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field potential. The eigenvalue of the Gross-Pitaevskii equation is identified as the chemical potential of the ideal gas. The condensation temperature and density profile of atoms are calculated. It is found that the critical temperature $T_c$ decreases as the interactions increase. Below the critical point, the condensation fraction exhibits a universal relation of $N_0/N=1-(T/T_c)^γ$, with the index $γ\approx 2.3$ independent of the interaction strength, the chemical potential, as well as the frequency of the confining potential.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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