Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split

Abstract

We carry out a detailed examination of the ground state property of few-boson system in a one-dimensional hard wall potential with a $\delta -$ split in the center. In the Tonks-Girardeau limit with infinite repulsion between particles, we use the Bose-Fermi mapping to construct the exact $N-$ particle ground state wavefunction which allows us to study the correlation properties accurately. For the general case with finite inter-particle interaction, the exact diagonalization method is exploited to study the ground-state density distribution, occupation number distribution, and momentum distribution for variable interaction strengths and barrier heights. The secondary peaks in the momentum distribution reveal the interference between particles on the two sides of the split, which is more prominent for large barrier strength and small interaction strength.

7 pages, 9 figures

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• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
• Two Atoms in a Double Well: An Exact Solution
• Hard-core Bose-Fermi mixture in one-dimensional split traps
• On the Exponential Decay of Strongly Interacting Cold Atoms from a Double-Well Potential
• Low-density, one dimensional quantum gases in the presence of a localised attractive potential