摘要翻译:
研究了均匀原子气体吸引相互作用玻色-费米混合物在零温下的静态性质。利用格林函数的形式,计算了介质到最低阶空穴线展开中的玻色子-费米子散射振幅和费米子自能。在玻色子-费米子质量比$M_b/M_f$和数比$N_b/N_f$的几个值下,我们研究了基态能量和压强随散射长度的函数关系。我们发现,对于较小的质量比,吸引对能量的贡献大大增强。我们通过计算介质中玻色子-费米子散射振幅的极点,研究了玻色-费米对关联在混合物中的作用。对于M_b/M_f\geq1$玻色-费米对,极点表现出标准准粒子色散。另一方面,对于较小的质量比,具有有限质心动量的玻色-费米对经历了强烈的吸引,暗示了大的介质效应。此外,我们还研究了费米子色散关系。我们发现两个离散分支具有避免交叉的可能性。这强烈地依赖于数rario$n_b/n_f$。
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英文标题:
《Bose-Fermi Pair Correlations in Attractively Interacting Bose-Fermi
Atomic Mixtures》
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作者:
Takayuki Watanabe, Toru Suzuki and Peter Schuck
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We study static properties of attractively interacting Bose-Fermi mixtures of uniform atomic gases at zero temperature. Using Green's function formalism we calculate boson-fermion scattering amplitude and fermion self-energy in the medium to lowest order of the hole line expansion. We study ground state energy and pressure as functions of the scattering length for a few values of the boson-fermion mass ratio $m_b/m_f$ and the number ratio $N_b/N_f$. We find that the attractive contribution to energy is greatly enhanced for small values of the mass ratio. We study the role of the Bose-Fermi pair correlations in the mixture by calculating the pole of the boson-fermion scattering amplitude in the medium. The pole shows a standard quasiparticle dispersion for a Bose-Fermi pair, for $m_b/m_f\geq 1$. For small values of the mass ratio, on the other hand, a Bose-Fermi pair with a finite center-of-mass momentum experiences a strong attraction, implying large medium effects. In addition, we also study the fermion dispersion relation. We find two dispersion branches with the possibility of the avoided crossings. This strongly depends on the number rario $N_b/N_f$.
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PDF链接:
https://arxiv.org/pdf/711.4458