In the first half of the talk, I will introduce our work on Floquet dynamics and motivate the introduction of cavity polaritons as a new approach for quantum control. For a periodically driven dissipative quantum system, I will examine the condition for its thermalization to the Floquet-Gibbs distribution and discuss the the consequences of possible violations [1]. To probe the resulting Floquet dynamics, I will present the Floquet response theory and analyze the signatures of dynamical symmetries [2]. Further, I’ll compare Floquet dynamics under intense lasers and polariton dynamics in optical cavities and highlight potential advantages of cavity QED for quantum coherent control.

In the second half, I will first summarize the exciting progress in polariton chemistry and then focus on the quantum transport of exciton-polaritons. In optical cavities, disordered molecules are coupled to cavity photons collectively, such that the cooperativity in the light-matter interaction can overcome the Anderson disorder and lead to a turnover in transport at an optimal level of static disorder.[3] Further, cavity photons can drastically enhance the coherent time-scale of wave-packet motion and lead to noise-enhanced wave-packet spreading in the ballistic regime. [4]

(1) PRL 123, 120602 (2019) Discontinuities in driven spin-boson systems due to coherent destruction of tunneling: breakdown of the Floquet-Gibbs distribution

(2) PRL 126, 090601 (2021) Dynamical Symmetries and Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems

(3) PRB 105(6), 064205 (2022), Unusual dynamical properties of disordered polaritons in microcavities; PRL. 130, 213602 (2023), Polariton localization and dispersion properties of disordered quantum emitters in multi-mode microcavities:

(4) Nanophotonics, 13.14, 2575-2590 (2024). Extracting kinetic information from short-time trajectories: relaxation and disorder of lossy cavity polaritons; arXiv:2410.11051 (2025), Noise-enhanced ballistic transport in a multi-mode optical cavity;