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

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dc.creatorYin, Xiangguo
dc.creatorHao, Yajiang
dc.creatorChen, Shu
dc.creatorZhang, Yunbo
dc.date2008-04-17
dc.date.accessioned2026-07-07T09:58:21Z
dc.date.available2026-07-07T09:58:21Z
dc.descriptionWe carry out a detailed examination of the ground state property of few-boson system in a one-dimensional hard wall potential with a $δ-$ 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.
dc.description7 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0804.2759
dc.identifierhttp://arxiv.org/abs/0804.2759
dc.identifierPhys. Rev. A 78, 013604(2008)
dc.identifierdoi:10.1103/PhysRevA.78.013604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167686
dc.subjectStrongly Correlated Electrons
dc.subjectOther Condensed Matter
dc.titleGround-state properties of few-Boson system in a one-dimensional hard wall potential with split
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