2018/03/31 by Rafał Ołdziejewski, Wojciech Górecki, Krzysztof Pawłowski +2
Chemistry · Mathematics · Physics and Astronomy · #Angular momentum #Atomic and Subatomic Physics Research #Bose gas #Boson #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Density of states #Eigenvalues and eigenvectors #Excited state #Limit (mathematics) #Mathematics #Physics #Quantum mechanics #Spectroscopy and Laser Applications #Symmetrization #Yrast #quant-ph
paper · pdf · doi:10.1103/physreva.97.063617
published as Phys. Rev. A 97, 063617 (2018) · 9 pages, 8 Figures, accepted to PRA
openalex created_date 2018/04/06 · arxiv created 2018/06/05 · openalex publication_date 2018/06/19 · arxiv updated 2018/06/27 · openalex updated_date 2026/08/05
We study the lowest energy states for fixed total momentum, i.e., yrast states, of N bosons moving on a ring. As in the paper of Syrwid and Sacha [Phys. Rev. A 92, 032110 (2015)], we compare mean-field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates. We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like phase jumps and density notches. These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.