2008/03/31 by Andreas Laeuchli, Andreas M. Läuchli, Corinna Kollath · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1088/1742-5468/2008/05/p05018
published as J. Stat. Mech. (2008) P05018 · 19 pages, 9 figures
openalex publication_date 2008/05/30 · arxiv created 2008/06/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We investigate the spreading of information in a one-dimensional Bose–Hubbard system after a sudden parameter change. In particular, we study the time evolution of correlations and entanglement following a quench. The investigated quantities show a light-cone-like evolution, i.e. the spreading with a finite velocity. We discuss the relation of this velocity to other characteristic velocities of the system, like the sound velocity. The entanglement is investigated using two different measures, the von Neumann entropy and mutual information. Whereas the von Neumann entropy grows rapidly with time the mutual information between two small subsystems can decrease as well after an initial increase. Additionally we show that the static von Neumann entropy characterizes the location of the quantum phase transition.