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

Atomic Physics 2013-03-04 v2 Quantum Gases

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 Schr\"odinger equation. A comparison between those solutions points out that the semiclassical treatment, to be denoted as the SS-solution, represents the most convenient tool to evaluate the tunneling renormalization of ultracold atoms.

Keywords

Cite

@article{arxiv.1302.2120,
  title  = {Continued fraction analysis of dressed systems: application to periodically driven optical lattices},
  author = {Thomas Zanon-Willette and Emeric de Clercq and Ennio Arimondo},
  journal= {arXiv preprint arXiv:1302.2120},
  year   = {2013}
}