Composite fermionization of 1-D Bose-Bose mixtures
Sascha Z\"ollner, Hans-Dieter Meyer, Peter Schmelcher

TL;DR
This paper investigates the ground states of one-dimensional Bose-Bose mixtures under harmonic confinement, revealing a crossover from demixed to separated phases as inter-species repulsion increases, with various pathways influenced by system asymmetries.
Contribution
It introduces the concept of composite-fermionization crossover in 1D Bose-Bose mixtures and explores how different parameters affect phase separation and symmetry.
Findings
Demixing occurs at weak intra-species interactions.
Atomic-level separation happens at strong intra-species repulsion.
Profiles become strongly overlapping due to symmetry, sensitive to perturbations.
Abstract
We study the ground states of one-dimensional Bose-Bose mixtures under harmonic confinement. As we vary the inter-species coupling strength up to the limit of infinite repulsion, we observe a generalized, composite-fermionization crossover. The initially coexisting phases demix as a whole (for weak intra-species interactions) and separate on an atomic level (for strong intra-species repulsion). By symmetry, the two components end up with strongly overlapping profiles, albeit sensitive to symmetry-breaking perturbations. Different pathways emerge in case the two components have different atom numbers, different intra-species interactions, or different masses and/or trap frequencies.
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