arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2402.13664cond-mat.quant-gas
收藏

二维玻色-费米混合物的量子蒙特卡罗与微扰研究

Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures

Jacopo D'Alberto, Lorenzo Cardarelli, Davide Emilio Galli, Gianluca Bertaina, Pierbiagio Pieri

AI总结:

本研究结合解析微扰与量子蒙特卡罗模拟,考察二维稀薄玻色-费米混合物的超越平均场性质,并验证弱相互作用理论及力学失稳后的相分离。

摘要:

我们通过解析推导,得到了二维稀薄玻色-费米混合物在零温状态方程以及费米子准粒子残余和有效质量方面的主要超越平均场贡献。在排斥情形下,我们针对两种具有代表性的玻色子浓度和等质量情形进行了量子蒙特卡罗模拟,并将一种用于校正费米气体有限尺寸效应的方法推广到玻色-费米混合物。我们发现,在弱相互作用条件下,解析表达式与数值结果吻合良好;而在接近力学不稳定性的区域则出现显著差异,在该区域以上,我们给出了玻色子组分发生相分离的证据。

英文摘要:

We derive analytically the leading beyond-mean field contributions to the zero-temperature equation of state and to the fermionic quasi-particle residue and effective mass of a dilute Bose-Fermi mixture in two dimensions. In the repulsive case, we perform quantum Monte Carlo simulations for two representative bosonic concentrations and equal masses, extending a method for correcting finite-size effects in fermionic gases to Bose-Fermi mixtures. We find good agreement between analytic expressions and numerical results for weak interactions, while significant discrepancies appear in the regime close to mechanical instability, above which we provide evidence of phase separation of the bosonic component.

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。

↑