Exact solution for infinitely strongly interacting Fermi gases in tight waveguides

Simple item page
dc.creatorGuan, Liming
dc.creatorChen, Shu
dc.creatorWang, Yupeng
dc.creatorMa, Zhong-Qi
dc.date2008-06-11
dc.date2009-04-02
dc.date.accessioned2026-07-07T13:06:34Z
dc.date.available2026-07-07T13:06:34Z
dc.descriptionWe present an exact analytical solution of the fundamental systems of quasi-one-dimensional spin-1/2 fermions with infinite repulsion for arbitrary confining potential. The eigenfunctions are constructed by the combination of Gireardeau's hard-core contacting boundary condition and group theoretical method which guarantees the obtained states to be simultaneously the eigenstates of $S$ and $S_z$ and fulfill the antisymmetry under odd permutation. We show that the total ground-state density profile behaves like the polarized noninteracting fermions, whereas the spin-dependent densities display different properties for different spin configurations. We also discuss the splitting of the ground states for large but finite repulsion.
dc.description4 pages, 3 figures, version accepted for publication in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/0806.1773
dc.identifierhttp://arxiv.org/abs/0806.1773
dc.identifierPhys. Rev. Lett. 102, 160402 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.160402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227819
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleExact solution for infinitely strongly interacting Fermi gases in tight waveguides
dc.typetext

Files

Collections

arXiv