In recent years, Floquet engineering has emerged as a powerful framework for controlling quantum systems via periodic driving. By modulating external fields in time, one can tailor the properties of quantum states and interactions in ways that are inaccessible under static conditions.
In particular, the use of oscillating magnetic fields to dress atomic spins, known as magnetic dressing, offers a powerful tool to manipulate energy levels, coherence properties, and coupling strengths in spin-based systems.
These ideas were laid out in our early work [Phys. Rev. A 85, 042510 (2012)], where we investigated Larmor frequency dressing via nonharmonic transverse magnetic fields. This study revealed the complex and tunable nature of spin dynamics under nonharmonic driving, emphasizing the potential of anharmonic dressing schemes for achieving nontrivial control over spin evolution.
Building on these concepts, in [Phys. Rev. Lett. 125, 093203 (2020)] we introduced a strategy for harmonic fine-tuning and explored the effects of triaxial spatial anisotropy in dressed spin configurations. By controlling the geometry and frequency components of the magnetic field, we demonstrated how to engineer anisotropic spin responses and achieve precise control over dressed-state energy structures.
More recently, in [Phys. Rev. A 105, 022619 (2022)] and in [Scientific Reports, 13(1), 15304] we proposed a framework for harmonic dual dressing of atomic spin systems using two magnetic fields. This dual-frequency scheme allows for interference-based control of the dressed energy spectrum, enabling the synthesis of spin dynamics with enhanced tunability and coherence properties.
Together, these works form a comprehensive and innovative body of research in which Floquet-based magnetic dressing serves as a robust and versatile platform for the coherent control of spin systems, with far-reaching implications in quantum metrology, quantum simulation, and precision spectroscopy.