arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2104.01901cond-mat.quant-gasnucl-th
收藏

超冷费米气体的低动量相互作用

Low-momentum interactions for ultracold Fermi gases

M. Urban, S. Ramanan

摘要:

我们考虑了从BCS区到幺正极限具有接触相互作用的两组分费米气体。从多体效应不应依赖于编码在s波散射长度中的短距离或高动量物理,而仅依赖于费米动量量级的动量尺度的想法出发,我们建立了有效的低动量相互作用,该相互作用再现了低于某个动量截止的接触相互作用的散射相移。受最近这种方法在原子核结构理论中的成功应用的启发,我们在Hartree-Fock-Bogliubov微扰修正理论的框架下,利用这些相互作用来描述费米气体的状态方程。在BCS制度,有一个范围内的截止,我们得到完全收敛的结果。近么正性,收敛尚未达到,但我们得到的基态能量接近实验的有希望的结果。的方法的局限性和可能的扩展进行了讨论。

英文摘要:

We consider a two-component Fermi gas with a contact interaction from the BCS regime to the unitary limit. Starting from the idea that many-body effects should not depend on short-distance or high-momentum physics which is encoded in the s-wave scattering length, but only on momentum scales of the order of the Fermi momentum, we build effective low-momentum interactions that reproduce the scattering phase shifts of the contact interaction below some momentum cutoff. Inspired from recent successes of this method in nuclear structure theory, we use these interactions to describe the equation of state of the Fermi gas in the framework of Hartree-Fock-Bogliubov theory with perturbative corrections. In the BCS regime, there is a range of cutoffs where we obtain fully converged results. Near unitarity, convergence is not yet reached, but we obtain promising results for the ground-state energies close to the experimental ones. Limitations and possible extensions of the approach are discussed.

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。

↑