TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.1.005
TI  - Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
PY  - 2024/01/05
UR  - https://scipost.org/SciPostPhys.16.1.005
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 1
SP  - 005
A1  - Hübner, Friedrich
AB  - We study solutions to the Lippmann-Schwinger equation in systems where a slow subsystem is coupled to a fast subsystem via an impurity. Such situations appear when a high-frequency Floquet-driven impurity is introduced into a low-energy system, but the driving frequency is at resonance with a high-energy band. In contrast to the case of resonant bulk driving, where the particles in the low-energy system are excited into the high-energy band, we surprisingly find that these excitations are suppressed for resonantly driven impurities. Still, the transmission through the impurity is strongly affected by the presence of the high-energy band in a universal way that does not depend on the details of the high-energy band. We apply our general result to two examples and show the suppression of excitations from the low-energy band into the high-energy band: a) bound pairs in a Fermi-Hubbard chain scattering at a driven impurity, which is at resonance with the Hubbard interaction and b) particles in a deep optical lattice described by the tight-binding approximation, which scatter at a driven impurity, whose driving frequency equals the band gap between the two lowest energy bands.
ER  -

@Article{10.21468/SciPostPhys.16.1.005,
	title={{Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems}},
	author={Friedrich Hübner},
	journal={SciPost Phys.},
	volume={16},
	pages={005},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.1.005},
	url={https://scipost.org/10.21468/SciPostPhys.16.1.005},
}