Charge diffusion in the one-dimensional Hubbard model

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. Moreover, we demonstrate that 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.

5 pages, 4 figures (+ 3 pages, 5 figures)

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Cited by in corpus (17)

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• Hydrodynamic Diffusion in Integrable Systems
• Superdiffusion in spin chains
• Random State Technology
• Selected applications of typicality to real-time dynamics of quantum many-body systems
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Effects of gate errors in digital quantum simulations of fermionic systems
• Density dynamics in the mass-imbalanced Hubbard chain
• Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators
• Non-ergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain
• Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
• Decoherence Entails Exponential Forgetting in Systems Complying with the Eigenstate Thermalization Hypothesis
• The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
• Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
• Electron charge dynamics and charge separation: A response theory approach