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 Renyi entropies display a double-slope structure.

Integrable quenches in the Hubbard model / Rylands, C.; Bertini, B.; Calabrese, P.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2022:(2022), pp. 1-41. [10.1088/1742-5468/ac98be]

Integrable quenches in the Hubbard model

Rylands, C.;Bertini, B.;Calabrese, P.
2022-01-01

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 Renyi entropies display a double-slope structure.
2022
2022
1
41
103103
https://arxiv.org/abs/2206.07985
Rylands, C.; Bertini, B.; Calabrese, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131447
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