一维混合物中二聚物-二聚物的零交叉和稀二聚液体
Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture
摘要：
我们考虑的二聚体系统中形成的一维质量平衡的玻色-玻色混合物的物种$σ=\uparrow$，$\downarrow$有吸引力的种间和排斥的种内接触相互作用。在由耦合常数$g_{\uparrow\uparrow}/|g_{\uparrow\downarrow}|$和$g_{\downarrow\downarrow}/|g_{\uparrow\downarrow}|$之比参数化的平面中，我们描绘出二聚体-二聚体相互作用从吸引切换到排斥的曲线。我们发现，与平均场稳定性边界$g_{\uparrow\uparrow}g_{\downarrow\downarrow}=g_{\uparrow\downarrow}^2$相比，该曲线显著（超过2倍）向更大的$g_{σσ}$（或更小的$|g_{\uparrow\downarrow}|$）移动。对于一个弱的二聚体-二聚体吸引力，我们预测一个稀释的二聚化的液相稳定崩溃的排斥三聚体的力量。
英文摘要：
We consider the system of dimers formed in a one-dimensional mass-balanced Bose-Bose mixture of species $σ=\uparrow$, $\downarrow$ with attractive interspecies and repulsive intraspecies contact interactions. In the plane parametrized by the ratios of the coupling constants $g_{\uparrow\uparrow}/|g_{\uparrow\downarrow}|$ and $g_{\downarrow\downarrow}/|g_{\uparrow\downarrow}|$ we trace out the curve where the dimer-dimer interaction switches from attractive to repulsive. We find this curve to be significantly (by more than a factor of 2) shifted towards larger $g_{σσ}$ (or smaller $|g_{\uparrow\downarrow}|$) compared to the mean-field stability boundary $g_{\uparrow\uparrow}g_{\downarrow\downarrow}=g_{\uparrow\downarrow}^2$. For a weak dimer-dimer attraction we predict a dilute dimerized liquid phase stabilized against collapse by a repulsive three-dimer force.
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