Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture

Abstract

We consider the system of dimers formed in a one-dimensional mass-balanced Bose-Bose mixture of species $\sigma =\uparrow$, $\downarrow$ 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 $g_{\sigma \sigma }$ (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.

published version

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