Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
arxiv(2024)
摘要
Interaction plays key role in the mixing properties of a multi-component
system. The miscibility-immiscibility transition (MIT) in a weakly interacting
mixture of Bose gases is predominantly determined by the strengths of the intra
and inter-component two-body contact interactions. On the other hand, in the
strongly interacting regime interaction induced processes become relevant.
Despite previous studies on bosonic mixtures in optical lattices, the effects
of the interaction induced processes on the MIT remains unexplored. In this
work, we investigate the MIT in the strongly interacting phases of
two-component bosonic mixture trapped in a homogeneous two-dimensional square
optical lattice. Particularly we examine the transition when both the
components are in superfluid (SF), one-body staggered superfluid (OSSF) or
supersolid (SS) phases. Our study prevails that, similar to the contact
interactions, the MIT can be influenced by competing intra and inter-component
density induced tunnelings and off-site interactions. To probe the MIT in the
strongly interacting regime, we study the extended version of the Bose-Hubbard
model with the density induced tunneling and nearest-neighbouring interaction
terms, and focus in the regime where the hopping processes are considerably
weaker than the on-site interaction. We solve this model through
site-decoupling mean-field theory with Gutzwiller ansatz and characterize the
miscibility through the site-wise co-existence of the two-component across the
lattice. Our study contributes to the better understanding of miscibility
properties of multi-component systems in the strongly interacting regime.
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