2008/12/31 by Salvatore R. Manmana, Stefan Wessel, Stefan Weßel +3 · 2 citations
Physics and Astronomy · #Condensed matter physics #Correlation function (quantum field theory) #Density matrix renormalization group #Fermion #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization group #Time evolution #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.79.155104
published as Phys. Rev. B 79, 155104 (2009) · Published version; minor changes, references added
openalex publication_date 2009/04/08 · arxiv created 2009/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the adaptive time-dependent density-matrix renormalization group, we study the time evolution of density correlations of interacting spinless fermions on a one-dimensional lattice after a sudden change in the interaction strength. Over a broad range of model parameters, the correlation function exhibits a characteristic light-cone-like time evolution representative of a ballistic transport of information. Such behavior is observed both when quenching an insulator into the metallic region and also when quenching within the insulating region. However, when a metallic state beyond the quantum critical point is quenched deep into the insulating regime, no indication for ballistic transport is observed. Instead, stable domain walls in the density correlations emerge during the time evolution, consistent with the predictions of the Kibble-Zurek mechanism.