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arXiv 1609.09401cond-mat.quant-gascond-mat.str-elhep-latnucl-th
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Tan接触和排斥费米气体的相分布:来自QCD噪声分析的见解

Tan's contact and the phase distribution of repulsive Fermi gases: Insights from QCD noise analyses

William J. Porter, Joaquín E. Drut

摘要:

路径积分分析最初开创了复杂的相位问题的研究,影响晶格计算的有限密度量子色动力学推广到非相对论性费米气体与排斥相互作用。使用参数类似于以前应用到相对论理论,我们表明,类似的问题在非相对论系统中自然体现在谭的接触作为一个非平凡的取消之间的条款与广泛的热力学量的不同的依赖。我们分析高斯相位分布的假设下,这是支持我们的蒙特卡罗计算和微扰的考虑。我们进一步将这些结果推广到接触以外的观测量,以及极化系统和固定粒子数的系统。我们的结果是相当普遍的,因为它们适用于排斥的多组分费米子,是独立的维数或捕获势,并保持在基态以及在有限的温度。

英文摘要:

Path-integral analyses originally pioneered in the study of the complex-phase problem afflicting lattice calculations of finite-density quantum chromodynamics are generalized to non-relativistic Fermi gases with repulsive interactions. Using arguments similar to those previously applied to relativistic theories, we show that the analogous problem in nonrelativistic systems manifests itself naturally in Tan's contact as a nontrivial cancellation between terms with varied dependence on extensive thermodynamic quantities. We analyze that case under the assumption of gaussian phase distribution, which is supported by our Monte Carlo calculations and perturbative considerations. We further generalize these results to observables other than the contact, as well as to polarized systems and systems with fixed particle number. Our results are quite general in that they apply to repulsive multi-component fermions, are independent of dimensionality or trapping potential, and hold in the ground state as well as at finite temperature.

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