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arXiv 1502.00345cond-mat.quant-gas
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正常态下强相互作用玻色气体的物态方程和接触

Equation of state and contact of a strongly interacting Bose gas in the normal state

Xia-Ji Liu, Brendan Mulkerin, Lianyi He, Hui Hu

摘要:

本文在大$N$展开的框架下,研究了非简并三维玻色气体在宽费什巴赫共振附近的状态方程和Tan接触。我们的结果与路径积分蒙特卡罗模拟在弱耦合极限下的结果一致,并恢复了在强相互作用和高温下的二阶维里膨胀预言.在共振时,我们发现化学势和能量被强排斥力显著增强,而熵没有显著变化。随着温度的升高,两体接触最初增加,然后像在大温度下的$T^{-1}$一样减少,因此在大约$4T_{c0}$处表现出峰值结构,其中$T_{c0}$是理想的非相互作用玻色气体的玻色-爱因斯坦凝聚温度。这些结果可以用非简并的单一玻色气体进行实验研究,其中三体复合率大大降低。特别地,两体接触的非单调温度依赖性可以从动量分布测量中推断。

英文摘要:

We theoretically investigate the equation of state and Tan's contact of a non-degenerate three dimensional Bose gas near a broad Feshbach resonance, within the framework of large-$N$ expansion. Our results agree with the path-integral Monte Carlo simulations in the weak-coupling limit and recover the second-order virial expansion predictions at strong interactions and high temperatures. At resonance, we find that the chemical potential and energy are significantly enhanced by the strong repulsion, while the entropy does not change significantly. With increasing temperature, the two-body contact initially increases and then decreases like $T^{-1}$ at large temperature, and therefore exhibits a peak structure at about $4T_{c0}$, where $T_{c0}$ is the Bose-Einstein condensation temperature of an ideal, non-interacting Bose gas. These results may be experimentally examined with a non-degenerate unitary Bose gas, where the three-body recombination rate is substantially reduced. In particular, the non-monotonic temperature dependence of the two-body contact could be inferred from the momentum distribution measurement.

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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