2007/08/31 by Yajiang Hao, Yunbo Zhang, Shu Chen · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.other #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.76.063601
published as Phys. Rev. A 76, 063601 (2007) · 6 pages, 5 figures, version published in Phys. Rev. A
openalex publication_date 2007/12/03 · arxiv created 2007/12/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We investigate the ground state of the one-dimensional fermionic system enclosed in a hard-wall trap with attractive contact p-wave interactions. Based on the Bethe ansatz method, the explicit wave function is derived by numerically solving the Bethe ansatz equations for the full physical regimes (\ensuremath-\ensuremath∞\ensuremath≤cF\ensuremath≤0). With the exact wave function some quantities which are important in many-body physics are obtained, including the one-body density matrix and the momentum distribution of the ground state for finite system. It is shown that the shell structure of the density profiles disappears with the increase of the interaction and in the fermionic Tonks-Girardeau limit the density distribution shows the same behavior as that of an ideal Bose gas. However, the one-body density matrix and the momentum distribution exhibit completely different structures compared with their bosonic counterparts.