Thermalization rates in the one dimensional Hubbard model with next-to-nearest neighbor hopping

Abstract

We consider a fermionic Hubbard chain with an additional next-to-nearest neighbor hopping term. We study the thermalization rates of the quasi-momentum distribution function within a quantum Boltzmann equation approach. We find that the thermalization rates are proportional to the square of the next-to-nearest neighbor hopping: Even weak next-to-nearest neighbor hopping in addition to nearest neighbor hopping leads to thermalization in a two-particle scattering quantum Boltzmann equation in one dimension. We also investigate the temperature dependence of the thermalization rates, which away from half filling become exponentially small for small temperature of the final thermalized distribution.

Modified last sentence in abstract, corrected the German umlaut ä in citation [1], y-axis label in figure 7 now with correct prefactor, y-axis label in figure 8 rewritten to match with the others

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• Many-Body Physics with Ultracold Gases
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• Experimental Observation of a Generalized Gibbs Ensemble
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
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• Prethermalisation and Thermalisation in the Entanglement Dynamics
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• Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer