Continued-fraction analysis of dressed systems: Application to periodically driven optical lattices

摘要

Radio-frequency quantum engineering of spins is based on the dressing by a nonresonant electromagnetic field.nRadio-frequency dressing occurs also for the motion of particles, electrons, or ultracold atoms, within a periodicnspatial potential. The dressing, producing a renormalization and also a freeze of the system energy, is described byndifferent approaches: dressed atom, magnetic resonance semiclassical treatment, and continued-fraction solutionnof the Schr¨odinger equation. A comparison between these solutions points out that the semiclassical treatment,nto be denoted as the S solution, represents the most convenient tool to evaluate the tunneling renormalization ofnultracold atoms.