2007/11/30 by Adilet Imambekov, L. I. Glazman, Leonid I. Glazman · 4 citations
Mathematics · Physics and Astronomy · #Ansatz #Bethe ansatz #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Correlation function (quantum field theory) #Dimension (graph theory) #Exponent #Gravitational singularity #Luttinger liquid #Mathematical physics #Mathematics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Structure factor #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.100.206805
published as Phys. Rev. Lett. 100, 206805 (2008) · minor misprints in published version fixed
openalex publication_date 2008/05/21 · arxiv created 2008/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The spectral function and dynamic structure factor of bosons interacting by contact repulsion and confined to one dimension exhibit power-law singularities along the dispersion curves of the collective modes. We find the corresponding exponents exactly, by relating them to the known Bethe ansatz solution of the Lieb-Liniger model. Remarkably, the Luttinger liquid theory predictions for the exponents fail even at low energies, once the immediate vicinities of the edges are considered.