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arXiv 0810.5046cond-mat.other
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超流玻色-费米混合物从弱耦合到么正性

Superfluid Bose-Fermi mixture from weak-coupling to unitarity

S. K. Adhikari, Luca Salasnich

摘要:

通过引入一组从弱耦合到幺正的耦合伽利略不变非线性薛定谔方程,研究了超流玻色-费米混合物的零温性质.玻色动力学由Gross-Pitaevskii型方程描述,该方程包括具有正确的弱耦合和么正性极限的超越平均场修正。双组分费米超流体的动力学由一个包含超平均场项的密度泛函方程描述,该方程具有正确的弱耦合和么正性极限。本方程组是等效的广义超流流体动力学方程,其中也考虑到表面效应。方程描述的混合物适当的玻色-玻色排斥(正)和费米-费米吸引(负)散射长度从零到无穷大的玻色-费米相互作用的存在下。本模型进行了测试,数值模拟的玻色-玻色和费米-费米散射的长度在很宽的范围内变化,涵盖了弱耦合到幺正性过渡。

英文摘要:

We investigate the zero-temperature properties of a superfluid Bose-Fermi mixture by introducing a set of coupled Galilei-invariant nonlinear Schrödinger equations valid from weak-coupling to unitarity. The Bose dynamics is described by a Gross-Pitaevskii-type equation including beyond-mean-field corrections possessing the correct weak-coupling and unitarity limits. The dynamics of the two-component Fermi superfluid is described by a density-functional equation including beyond-mean-field terms with correct weak-coupling and unitarity limits. The present set of equations is equivalent to the equations of generalized superfluid hydrodynamics, which take into account also surface effects. The equations describe the mixture properly as the Bose-Bose repulsive (positive) and Fermi-Fermi attractive (negative) scattering lengths are varied from zero to infinity in the presence of a Bose-Fermi interaction. The present model is tested numerically as the Bose-Bose and Fermi-Fermi scattering lengths are varied over wide ranges covering the weak-coupling to unitarity transition.

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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