2018/04/30 by Piero Naldesi, Juan Polo Gomez, Juan Polo +5
Physics and Astronomy · #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Degenerate energy levels #Ergodic theory #Excitation #Integrable system #Lattice (music) #Mathematical physics #Nonlinear system #Opinion Dynamics and Social Influence #Optical lattice #Physics #Quantum #Quantum mechanics #Soliton #Strong Light-Matter Interactions #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevlett.122.053001
published as Phys. Rev. Lett. 122, 053001 (2019) · To be published in Physical Review Letters
arxiv created 2018/12/17 · openalex publication_date 2019/02/06 · arxiv updated 2019/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study an ultracold atomic gas with attractive interactions in a one-dimensional optical lattice. We find that its excitation spectrum displays a quantum soliton band, corresponding to N-particle bound states, and a continuum band of other, mostly extended, states. For a system of a finite size, the two branches are degenerate in energy for weak interactions, while a gap opens above a threshold value of the interaction strength. We find that the interplay between degenerate extended and bound states has important consequences for both static and dynamical properties of the system. In particular, the solitonic states turn out to be protected from spatial perturbations and random disorder. We discuss how such dynamics implies that our system effectively provides an example of a quantum many-body system that, with the variation of the bosonic lattice filling, crosses over from integrable nonergodic to nonintegrable ergodic dynamics, through nonintegrable-nonergodic regimes.