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arXiv 1206.0237cond-mat.quant-gas
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普适费米气体的热力学性质

Thermodynamic Properties of Universal Fermi Gases

Erik M. Weiler, Theja N. De Silva

摘要:

我们发展了一个简单的,类平均场理论的正常相位的酉费米气体通过导出一个自洽方程的自能通过一个动量依赖的耦合常数的吸引和排斥的普遍费米子。对于处于费什巴赫共振下支的具有吸引力的普适费米子,我们利用零温蒙特卡罗结果作为一步迭代的起点,推导出动量依赖的自能的解析表达式.对于处于费什巴赫共振上支的排斥性普适费米子,我们利用自洽方程迭代计算了动量依赖的自能。最后,对于总体不平衡的情形,我们提出了高阶维里展开系数的一个估计。总的来说,我们发现我们的理论与目前可用的高温实验数据吻合得很好。

英文摘要:

We develop a simple, mean-field-like theory for the normal phase of a unitary Fermi gas by deriving a self-consistent equation for its self-energy via a momentum-dependent coupling constant for both attractive and repulsive universal fermions. For attractive universal fermions in the lower branch of a Feshbach resonance, we use zero-temperature Monte Carlo results as a starting point for one-step iteration in order to derive an analytical expression for the momentum-dependent self-energy. For repulsive universal fermions in the upper branch of a Feshbach resonance, we iteratively calculate the momentum-dependent self-energy via our self-consistent equation. Lastly, for the case of population imbalance, we propose an ansatz for higher order virial expansion coefficents. Overall, we find that our theory is in good agreement with currently available, high temperature experimental data.

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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