Prethermalization and conservation laws in quasi-periodically-driven quantum systems

Abstract

We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. {When the frequency of the driving is large enough or the strength of the driving is small enough, we prove a Nekhoroshev-type stability result: we show that the system exhibits a prethermal state for stretched exponentially long times in the perturbative parameter}. Moreover, we prove the quasi-conservation of the constants of motion of the unperturbed Hamiltonian and we analyze their physical meaning in examples of relevance to condensed matter and statistical physics.

42 pages; 3 figures; equivalent to published version

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Cited by in corpus (6)

• Experimental Realization of Discrete Time Quasi-Crystals
• Prethermalization in aperiodically driven classical spin systems
• Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
• Stable time rondeau crystals in dissipative many-body systems
• Prethermalization for Deformed Wigner Matrices
• Engineering micromotion in Floquet prethermalization via space-time symmetries