2006/08/01 by B. Paredes, T. Keilmann, Tassilo Keilmann +1 · 52 citations
Mathematics · Physics and Astronomy · #Abelian group #Ansatz #Boson #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Ground state #Lattice (music) #Mathematics #Pfaffian #Physics #Pure mathematics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Symmetrization #Theoretical physics #Topological quantum computer #cond-mat.other
paper · pdf · doi:10.1103/physreva.75.053611
published in Physical Review A 75(5) (American Physical Society)
arxiv created 2006/08/01 · openalex publication_date 2007/05/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a Pfaffian-like ansatz for the ground state of bosons subject to three-body infinite repulsive interactions in a one-dimensional (1D) lattice. Our ansatz consists of symmetrization over all possible ways of distributing the particles in two identical Tonks-Girardeau gases. We support the quality of our ansatz with numerical calculations and propose an experimental scheme based on mixtures of bosonic atoms and molecules in 1D optical lattices in which this Pfaffian-like state could be realized. Our findings may open the way for the creation of non-Abelian anyons in 1D systems.