Phase separation of a repulsive two-component Fermi gas at the two- to three-dimensional crossover
arxiv(2023)
摘要
We present a theoretical analysis of phase separations between two
repulsively interacting components in an ultracold fermionic gas, occurring at
the dimensional crossover in a harmonic trap with varying aspect ratios. A
tailored kinetic energy functional is derived and combined with a
density-potential functional approach to develop a framework that is
benchmarked with the orbital-based method. We investigate the changes in the
density profile of the phase-separated gas under different interaction
strengths and geometries. The analysis reveals the existence of small,
partially polarized domains in certain parameter regimes, which is similar to
the purely two-dimensional limit. However, the density profile is further
enriched by a shell structure found in anisotropic traps. We also track the
transitions that can be driven by either a change in interaction strength or
trap geometry. The developed framework is noted to have applications for other
systems with repulsive interactions that combine continuous and discrete
degrees of freedom.
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