Integrable quenches in the Hubbard model

Abstract

We study the quench dynamics of the one-dimensional Hubbard model through the Quench Action formalism. We introduce a class of integrable initial states -- expressed as product states over two sites -- for which we can provide an exact characterisation of the late-time regime. This is achieved by finding a closed-form expression for the overlaps between our states and the Bethe ansatz eigenstates, which we check explicitly in the limits of low densities and infinite repulsion. Our solution gives access to the stationary values attained by local observables (we show the explicit example of the density of doubly occupied sites) and the asymptotic entanglement dynamics directly in the thermodynamic limit. Interestingly, we find that for intermediate interaction strength Rényi entropies display a double-slope structure.

28 pages, 5 figures

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• Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
• Solution of the BEC to BCS Quench in One Dimension
• Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
• Dynamical fermionization in one-dimensional spinor gases at finite temperature
• A range three elliptic deformation of the Hubbard model
• Rényi entanglement entropy after a quantum quench starting from insulating states in a free boson system
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles