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Integrable quenches in the Hubbard model

Rylands, Colin; Bertini, Bruno; Calabrese, Pasquale

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Colin Rylands

Bruno Bertini

Pasquale Calabrese


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.

Journal Article Type Article
Acceptance Date Sep 27, 2022
Online Publication Date Oct 31, 2022
Publication Date Oct 1, 2022
Deposit Date Nov 9, 2022
Publicly Available Date Oct 2, 2023
Journal Journal of Statistical Mechanics: Theory and Experiment
Print ISSN 1742-5468
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 2022
Issue 10
Article Number 103103
Keywords Statistics, Probability and Uncertainty; Statistics and Probability; Statistical and Nonlinear Physics
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