- Series
- Math Physics Seminar
- Time
- Thursday, April 20, 2023 - 12:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005 and online https://gatech.zoom.us/j/96817326631
- Speaker
- Matteo Gallone and Beatrice Langella – SISSA Trieste, Italy
- Organizer
- Michael Loss
Understanding the route to thermalization of a physical system is a fundamental problem in statistical mechanics. When a system is initialized far from thermodynamical equilibrium, many interesting phenomena may arise. Among them, a lot of interest is attained by systems subjected to periodic driving (Floquet systems), which under certain circumstances can undergo a two-stage long dynamics referred to as "prethermalization", showing nontrivial physical features. In this talk, we present some prethermalization results for a class of lattice systems with quasi-periodic external driving in time. When the quasi-periodic driving frequency is large enough or the strength of the driving is small enough, we show that the system exhibits a prethermal state for exponentially long times in the perturbative parameter. Moreover, we focus on the case when the unperturbed Hamiltonian admits constants of motion and we prove the quasi-conservation of a dressed version of them. We discuss applications to perturbations of the Fermi-Hubbard model and the quantum Ising chain.
Join Zoom Meeting
https://gatech.zoom.us/j/96817326631