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Charge diffusion in the one-dimensional Hubbard model

R. Steinigeweg1,*, F. Jin2, H. De Raedt3, K. Michielsen2,4, and J. Gemmer1,†

  • 1Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany
  • 2Institute for Advanced Simulation, Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 3Zernike Institute for Advanced Materials, University of Groningen, NL-9747AG Groningen, The Netherlands
  • 4RWTH Aachen University, D-52056 Aachen, Germany

  • *rsteinig@uos.de
  • †jgemmer@uos.de
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Phys. Rev. E 96, 020105(R) – Published 28 August, 2017

DOI: https://doi.org/10.1103/PhysRevE.96.020105

Abstract

We study the real-time and real-space dynamics of charge in the one-dimensional Hubbard model in the limit of high temperatures. To this end, we prepare pure initial states with sharply peaked density profiles and calculate the time evolution of these nonequilibrium states, by using numerical forward-propagation approaches to chains as long as 20 sites. For a class of typical states, we find excellent agreement with linear-response theory and unveil the existence of remarkably clean charge diffusion in the regime of strong particle-particle interactions. We additionally demonstrate that, in the half-filling sector, this diffusive behavior does not depend on certain details of our initial conditions, i.e., it occurs for five different realizations with random and nonrandom internal degrees of freedom, single and double occupation of the central site, and displacement of spin-up and spin-down particles.

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Phys. Rev. E 96, 020105(R)– Published 28 August, 2017
  • Received 16 February 2017

©2017 American Physical Society

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