Floquet heating in interacting atomic gases with an oscillating force

© 2019 American Physical Society. We theoretically investigate the collisional heating of a cold atom system subjected to time-periodic forces. We show within the Floquet framework that this heating rate due to two-body collisions has a general semiclassical expression P ρσvcolE0, depending on the kinetic energy E0 associated with the shaking, particle number density ρ, elastic collision cross section σ, and an effective collisional velocity vcol determined by the dominant energy scale in the system. We further show that the collisional heating is suppressed by Pauli blocking in cold fermionic systems and by the modified density of states in systems in lower dimensions. Our results provide an exactly solvable example and reveal some general features of Floquet heating in interacting systems