Integrable quenches in the Hubbard model

Rylands, Colin; Bertini, Bruno; Calabrese, Pasquale

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.

Citation

Rylands, C., Bertini, B., & Calabrese, P. (2022). Integrable quenches in the Hubbard model. Journal of Statistical Mechanics: Theory and Experiment, 2022(10), Article 103103. https://doi.org/10.1088/1742-5468/ac98be

• 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
• DOI: https://doi.org/10.1088/1742-5468/ac98be
• Keywords: Statistics, Probability and Uncertainty; Statistics and Probability; Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/13459233
• Publisher URL: https://iopscience.iop.org/article/10.1088/1742-5468/ac98be