Real-time dynamics in the one-dimensional Hubbard model

Abstract

We consider single-particle properties in the one-dimensional repulsive Hubbard model at commensurate fillings in the metallic phase. We determine the real-time evolution of the retarded Green's function by matrix-product state methods. We find that at sufficiently late times the numerical results are in good agreement with predictions of nonlinear Luttinger liquid theory. We argue that combining the two methods provides a way of determining the single-particle spectral function with very high frequency resolution.

10 pages, 6 figures. Minor edits from v1. Version as published

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Cited by in corpus (3)

• Angle resolved photoemission spectroscopy reveals spin charge separation in metallic MoSe2 grain boundary
• Spectral functions and time evolution from the Chebyshev recursion
• Spin-charge separated quasiparticles in one dimensional quantum fluids