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arXiv 1502.01310cond-mat.quant-gas
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玻色-费米混合体中的关联和同步

Correlations and synchronization in a Bose-Fermi mixture

Pablo Díaz, David Laroze, Boris A. Malomed

摘要:

我们在平均场论的框架内研究玻色-费米混合物,包括三种可能的费米子种类:全极化,BCS和么正性。从三维描述出发,利用变分近似(VA),在相应的限制势下,我们导出了一维和二维方程组。这种方法产生一对非线性薛定谔(NLS)方程耦合到代数方程的横向宽度的限制状态。该方程包含了相同物种的原子之间的相互作用和物种之间的相互作用,假设后者可以通过费什巴赫共振(FR)来操纵。作为一个应用程序,我们探讨了空间密度相关性的基态(GS)之间的物种,得出的结论是,它们强烈依赖于物种间相互作用的符号和强度。还研究了GS附近的混合物的动态和相应的时空种间相关性。的相关性强烈影响的费米分量,具有最大的变化在幺正制度。通过与全数值解的比较,验证了VA产生的结果。

英文摘要:

We study a Bose-Fermi mixture within the framework of the mean-field theory, including three possible regimes for the fermionic species: fully polarized, BCS, and unitarity. Starting from the 3D description and using the variational approximation (VA), we derive 1D and 2D systems of equations, under the corresponding confining potentials. This method produces a pair of nonlinear Schrödinger (NLS) equations coupled to algebraic equations for the transverse widths of the confined state. The equations incorporate interactions between atoms of the same species and between the species, assuming that the latter can be manipulated by means of the Feshbach resonance (FR). As an application, we explore spatial density correlations in the ground state (GS) between the species, concluding that they strongly depend on the sign and strength of the inter-species interaction. Also studied are the dynamics of the mixture in a vicinity of the GS and the corresponding spatiotemporal inter-species correlation. The correlations are strongly affected by the fermionic component, featuring the greatest variation in the unitary regime. Results produced by the VA are verified by comparison with full numerical solutions.

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