Finite-frequency prethermalization in periodically driven ergodic systems

Lorenzo Correale; Leticia F. Cugliandolo; Marco Schirò; Alessandro Silva

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arXiv · 2401.03478

Finite-frequency prethermalization in periodically driven ergodic systems

Lorenzo Correale·Leticia F. Cugliandolo·Marco Schirò·Alessandro Silva

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Abstract

We investigate the periodically driven dynamics of many-body systems, either classical or quantum, finite-dimensional or mean-field, displaying an unbounded phase-space. Using the lattice $\phi^4$ model and the $p$-spin spherical model as representative examples, we find that the inclusion of a smooth periodic drive atop an otherwise ergodic dynamics leads to a long-lived prethermalization, even at moderate driving frequencies. In specific asymptotic limits, we compute the corresponding prethermal Hamiltonian from an analytical perturbation scheme.

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Lorenzo Correale, Leticia F. Cugliandolo, Marco Schirò, Alessandro Silva. 2024-01-07. Finite-frequency prethermalization in periodically driven ergodic systems. https://arxiv.org/abs/2401.03478

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