Hard-core Bose-Fermi mixture in one-dimensional split traps

Abstract

We consider a strongly interacting one-dimensional (1D) Bose-Fermi mixture confined in a hard wall trap or a harmonic oscillator trap with a tunable $\delta$-function barrier at the trap center. The mixture consists of 1D Bose gas with repulsive interactions and of 1D noninteracting spin-aligned Fermi gas, both species interacting through hard-core interactions. Using a generalized Bose-Fermi mapping, we calculated the reduced single-particle density matrix and the momentum distribution of the gas as a function of barrier strength and the parity of particle number. The secondary peaks in the momentum distribution show remarkable correlation between particles on the two sides of the split.

6 pages, 4 figures, PRA in press

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Cited by in corpus (7)

• One-dimensional mixtures of several ultracold atoms: a review
• An eccentrically perturbed Tonks-Girardeau gas
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Two Atoms in a Double Well: An Exact Solution
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• Improvement of the matching of the exact solution and variational approaches in an interacting two-fermion system
• Correlations and synchronization in a Bose-Fermi mixture