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

Abstract

Radio-frequency quantum engineering of spins is based on the dressing by a non resonant electromagnetic field. Radio-frequency dressing occurs also for the motion of particles, electrons or ultracold atoms, within a periodic spatial potential. The dressing, producing a renormalisation and also a freeze of the system energy, is described by different approaches, dressed atom, magnetic resonance semiclassical treatment, continued fraction solution of the Schrödinger equation. A comparison between those solutions points out that the semiclassical treatment, to be denoted as the $S$-solution, represents the most convenient tool to evaluate the tunneling renormalization of ultracold atoms.

References in corpus (11)

• Dynamical control of matter-wave tunneling in periodic potentials
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Coherent control of dressed matter waves
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Coherent destruction of tunneling, dynamic localization and the Landau-Zener formula
• Tuning the Mott transition in a Bose-Einstein condensate by multi-photon absorption
• Expansion of matter waves in static and driven periodic potentials
• Third order correction to localization in a two-level driven system
• Magic radio-frequency dressing of nuclear spins in high-accuracy optical clocks
• Radio-frequency induced ground state degeneracy in a Chromium Bose-Einstein condensate
• Dressed Spin of Helium-3