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TT: Fachverband Tiefe Temperaturen

TT 2: Nonequilibrium Quantum Systems (joint session TT/DY)

TT 2.2: Talk

Monday, March 17, 2025, 09:45–10:00, H31

Fractionalized prethermalization in the one-dimensional Hubbard model — •Anton Romen1,2, Johannes Knolle1,2,3, and Michael Knap1,21Technical University of Munich, Garching, Germany — 2Munich Center for Quantum Science and Technology, München, Germany — 3Blackett Laboratory, Imperial College London, London, United Kingdom

Prethermalization phenomena in driven systems are generally understood via a local effective Floquet Hamiltonian. It turns out that this picture is insufficient for systems with fractionalized excitations. A first example is a driven Kitaev spin liquid which realizes a quasistationary state with vastly different temperatures of the matter and flux sectors, a phenomenon dubbed fractionalized prethermalization. In our work we argue that similar heating dynamics also occur in driven 1D tJ-models. In the weak doping limit of this model, the electron fractionalizes into quasiparticles carrying charge and spin. We show that the nonequilibrium heating dynamics of this model feature a quasistationary state characterized by a low spin and high charge temperature. We argue that the lifetime of this quasistationary state is determined by two competing processes depending on the specific drive chosen: A Fermi Golden Rule that describes the lifetime of the quasiparticles and the exponential lifetime of a Floquet prethermal plateau. Using a time dependent variant of the Schrieffer-Wolff transformation we systematically analyze the different classes of drives emerging from the respective Hubbard model. Lastly, we discuss potential ways towards an experimental realization in cold atom experiments.

Keywords: Prethermalization; Fractionalized Prethermalization; Hubbard model; spin-charge fractionalization

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