Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap

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dc.creatorHao, Yajiang
dc.creatorZhang, Yunbo
dc.creatorLiang, J. -Q.
dc.creatorChen, Shu
dc.date2006-02-21
dc.date2006-06-19
dc.date.accessioned2026-07-07T07:01:50Z
dc.date.available2026-07-07T07:01:50Z
dc.descriptionWe investigate the ground state of the system of N bosons enclosed in a hard-wall trap interacting via a repulsive or attractive $δ$-function potential. Based on the Bethe ansatz method, the explicit ground state wave function is derived and the corresponding Bethe ansatz equations are solved numerically for the full physical regime from the Tonks limit to the strongly attractive limit. It is shown that the solution takes different form in different regime. We also evaluate the one body density matrix and second-order correlation function of the ground state for finite systems. In the Tonks limit the density profiles display the Fermi-like behavior, while in the strongly attractive limit the Bosons form a bound state of N atoms corresponding to the N-string solution. The density profiles show the continuous crossover behavior in the entire regime. Further the correlation function indicates that the Bose atoms bunch closer as the interaction constant decreases.
dc.description7 pages, 6 figures, version published in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0602483
dc.identifierhttp://arxiv.org/abs/cond-mat/0602483
dc.identifierPhys. Rev. A 73, 063617 (2006)
dc.identifierdoi:10.1103/PhysRevA.73.063617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108401
dc.subjectStrongly Correlated Electrons
dc.titleGround-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
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