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

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

2010-03-25

arxiv.org/abs/1003.4790v2

Phys. Rev. A 81, 043607 (2010)

Physics

Condensed Matter

Quantum Gases

6 pages, 4 figures, PRA in press

Scientific paper

10.1103/PhysRevA.81.043607

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.

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